Category
stringclasses 4
values | Task
stringclasses 12
values | Level
stringclasses 5
values | Image_id
stringlengths 1
51
| Question
stringclasses 197
values | Choices
listlengths 4
4
| Answer
stringclasses 4
values | Explanation
stringlengths 52
839
|
|---|---|---|---|---|---|---|---|
MentalAnimation
|
BlockMoving
|
Level0
|
20-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 2, 0) x- -- (2, 0, 0) x- -- (1, 0, 0) x-",
"(2, 0, 0) x- -- (1, 0, 0) x+ -- (2, 2, 0) y-",
"(1, 1, 0) y- -- (0, 2, 0) x+ -- (1, 2, 0) y-",
"(2, 0, 0) x- -- (1, 0, 0) x-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
21-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x- -- (1, 1, 0) x-",
"(1, 1, 0) x- -- (0, 2, 0) y- -- (1, 2, 0) x+",
"(0, 2, 0) y- -- (1, 2, 0) x+",
"(2, 2, 0) y- -- (1, 1, 0) x+ -- (0, 2, 0) x+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
22-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 2, 0) x+ -- (1, 2, 0) x+ -- (2, 2, 0) x-",
"(1, 2, 0) y- -- (2, 2, 0) y-",
"(1, 2, 0) y- -- (2, 2, 0) y-",
"(2, 2, 0) x- -- (2, 2, 0) x- -- (1, 2, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
23-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) y+ -- (2, 2, 0) x-",
"(0, 0, 0) y+ -- (0, 0, 0) x+",
"(0, 2, 0) y- -- (0, 1, 0) x+ -- (1, 0, 0) x+",
"(2, 2, 0) y-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
24-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) y+ -- (0, 2, 0) y- -- (0, 1, 0) y-",
"(1, 2, 0) x- -- (1, 2, 0) x- -- (1, 2, 0) x+",
"(2, 1, 0) y- -- (2, 0, 0) y+ -- (2, 0, 0) y+",
"(1, 2, 0) y-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
25-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 2, 0) x- -- (1, 2, 0) x-",
"(0, 2, 0) x+ -- (1, 2, 0) y-",
"(2, 2, 0) x-",
"(2, 1, 0) x- -- (0, 2, 0) y- -- (0, 1, 0) y-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
26-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 2, 0) x+ -- (1, 2, 0) x+",
"(0, 0, 0) y+ -- (1, 0, 0) y+ -- (1, 1, 0) x+",
"(2, 0, 0) y+ -- (1, 2, 0) y-",
"(2, 0, 0) y+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
27-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 0) x+ -- (2, 1, 0) y+ -- (1, 1, 0) y+",
"(1, 1, 0) x- -- (0, 2, 0) y- -- (2, 1, 0) x-",
"(2, 1, 0) y- -- (1, 1, 0) y+",
"(1, 1, 0) x+ -- (1, 1, 0) x+ -- (0, 2, 0) x+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
28-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 2, 0) y- -- (0, 0, 0) x+",
"(0, 2, 0) x+ -- (1, 2, 0) x+ -- (1, 1, 0) x-",
"(1, 0, 0) x+",
"(0, 2, 0) x+ -- (0, 0, 0) y+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
29-3-3-1-2
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 2, 0) x- -- (2, 2, 0) x- -- (2, 2, 0) x-",
"(1, 2, 0) x- -- (2, 1, 0) y+ -- (2, 1, 0) y+",
"(1, 2, 0) y- -- (2, 2, 0) y-",
"(2, 1, 0) x- -- (1, 2, 0) y-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
30-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) y- -- (0, 1, 0) x+ -- (1, 1, 0) x+",
"(0, 1, 0) y- -- (1, 2, 0) y-",
"(0, 1, 0) x+ -- (1, 2, 0) y- -- (1, 1, 0) x-",
"(1, 2, 0) x+ -- (1, 1, 0) x+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
31-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 0) x+ -- (1, 0, 0) x+ -- (0, 0, 0) x+",
"(0, 0, 0) x+ -- (1, 0, 0) x- -- (2, 1, 0) x-",
"(0, 0, 0) y+ -- (0, 0, 0) x+",
"(0, 1, 0) y+ -- (2, 0, 0) x- -- (1, 0, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
32-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x- -- (1, 2, 0) x+",
"(1, 2, 0) x+ -- (1, 1, 0) y+",
"(1, 2, 0) x+ -- (1, 0, 0) x+ -- (2, 0, 0) y+",
"(2, 1, 0) y+ -- (1, 0, 0) y+ -- (1, 0, 0) y+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
33-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) y+ -- (0, 1, 0) y- -- (0, 1, 0) y-",
"(1, 2, 0) y- -- (1, 1, 0) x+ -- (0, 1, 0) y-",
"(0, 1, 0) y+",
"(2, 0, 0) y+ -- (0, 0, 0) y+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
34-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 0) y+ -- (1, 1, 0) y- -- (1, 0, 0) y+",
"(2, 0, 0) y+ -- (0, 0, 0) x+",
"(2, 0, 0) y+ -- (1, 1, 0) y+",
"(1, 1, 0) x+ -- (2, 2, 0) y- -- (0, 0, 0) y+"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
35-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x+ -- (1, 0, 0) x- -- (1, 0, 0) x+",
"(2, 0, 0) y+ -- (0, 0, 0) x+ -- (2, 2, 0) x-",
"(2, 2, 0) x- -- (1, 0, 0) y+ -- (2, 2, 0) y-",
"(1, 2, 0) x+ -- (1, 0, 0) x+ -- (1, 0, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
36-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x-",
"(1, 0, 0) y+",
"(1, 2, 0) x- -- (1, 0, 0) x+ -- (1, 1, 0) y-",
"(1, 0, 0) y+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
37-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 1, 0) y- -- (2, 0, 0) x-",
"(2, 1, 0) y- -- (2, 1, 0) x- -- (2, 0, 0) y+",
"(1, 1, 0) x+ -- (2, 1, 0) x- -- (1, 1, 0) x-",
"(1, 1, 0) y+ -- (0, 0, 0) x+ -- (1, 0, 0) y+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
38-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x+ -- (1, 0, 0) x+ -- (2, 0, 0) y+",
"(1, 1, 0) y+ -- (1, 0, 0) x- -- (0, 2, 0) y-",
"(2, 0, 0) y+ -- (0, 2, 0) y- -- (1, 0, 0) x-",
"(1, 0, 0) x+ -- (1, 0, 0) y+ -- (1, 2, 0) x+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level0
|
39-3-3-1-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 2, 0) x+ -- (2, 1, 0) x-",
"(1, 0, 0) x+ -- (0, 1, 0) y+ -- (0, 1, 0) x+",
"(0, 2, 0) y-",
"(2, 1, 0) y- -- (0, 2, 0) y- -- (2, 0, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
0-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x-",
"(1, 1, 0) x+ -- (0, 0, 1) x+ -- (0, 0, 1) z-",
"(1, 0, 0) y+ -- (1, 1, 0) x- -- (2, 1, 0) x-",
"(1, 1, 0) x- -- (1, 0, 1) z- -- (1, 0, 0) x+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
1-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 1) x- -- (0, 0, 0) x+",
"(1, 1, 0) x- -- (1, 1, 0) x+ -- (1, 1, 1) z-",
"(1, 1, 1) x+ -- (2, 1, 0) x- -- (1, 1, 1) x+",
"(0, 0, 0) x+ -- (2, 1, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
2-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x+ -- (0, 1, 0) y- -- (0, 1, 1) x+",
"(0, 1, 0) x+",
"(2, 0, 0) x- -- (0, 0, 1) x+ -- (1, 0, 1) z-",
"(2, 0, 0) y+ -- (1, 1, 0) y- -- (0, 1, 0) x+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
3-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 1) z- -- (1, 0, 1) x- -- (0, 0, 1) z-",
"(0, 0, 1) z- -- (1, 0, 0) y+ -- (0, 0, 0) y+",
"(1, 0, 1) z- -- (1, 0, 0) x+ -- (0, 0, 0) x+",
"(0, 0, 1) x+ -- (0, 0, 1) x+ -- (1, 0, 1) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
4-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) y+ -- (2, 1, 1) z- -- (2, 0, 0) y+",
"(2, 0, 0) x- -- (2, 1, 1) y-",
"(2, 1, 0) x- -- (2, 1, 1) z-",
"(2, 1, 0) x- -- (0, 1, 0) x+ -- (2, 0, 0) y+"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
5-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) x- -- (2, 0, 1) z- -- (0, 0, 1) z-",
"(1, 0, 0) x+ -- (1, 0, 0) x+ -- (1, 0, 0) x-",
"(1, 0, 0) y+ -- (2, 0, 1) z-",
"(2, 0, 0) x- -- (0, 0, 0) y+ -- (2, 0, 1) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
6-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) y+ -- (0, 0, 1) z-",
"(1, 0, 0) x+ -- (1, 0, 0) y+",
"(2, 0, 0) x- -- (1, 0, 0) y+ -- (2, 0, 0) x-",
"(0, 0, 0) x+ -- (0, 1, 0) y- -- (0, 0, 1) y+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
7-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 1) x- -- (1, 0, 0) x- -- (2, 1, 0) y-",
"(0, 0, 1) x+ -- (0, 0, 1) x+ -- (0, 0, 0) x+",
"(2, 0, 0) y+ -- (0, 1, 0) y- -- (2, 0, 0) y+",
"(2, 0, 0) x- -- (1, 0, 0) x- -- (2, 1, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
8-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 1) z- -- (0, 0, 0) x+",
"(0, 1, 1) y-",
"(0, 0, 0) x+",
"(0, 0, 0) y+ -- (0, 0, 0) y+ -- (0, 1, 1) z-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
9-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x+ -- (2, 1, 0) x- -- (1, 0, 1) x+",
"(1, 0, 0) y+ -- (1, 1, 0) x-",
"(2, 1, 0) x- -- (1, 0, 0) x- -- (2, 0, 1) z-",
"(1, 0, 0) x- -- (1, 0, 0) x+ -- (2, 1, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
10-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) y+ -- (2, 1, 1) x- -- (2, 1, 1) z-",
"(0, 1, 0) y- -- (1, 1, 1) z- -- (2, 1, 0) y-",
"(1, 1, 1) x- -- (2, 1, 1) z- -- (0, 0, 0) x+",
"(2, 1, 1) x- -- (1, 1, 0) x+ -- (1, 1, 0) y-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
11-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) x+",
"(1, 0, 0) x- -- (2, 1, 0) x-",
"(1, 0, 0) x+ -- (0, 1, 0) y-",
"(1, 0, 0) x- -- (2, 1, 0) x- -- (1, 1, 0) x-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
12-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 1) y+ -- (0, 1, 0) x+",
"(1, 1, 0) y- -- (0, 1, 1) z- -- (0, 0, 0) x+",
"(2, 1, 0) y- -- (0, 0, 1) x+",
"(0, 1, 0) y-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
13-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) x+ -- (1, 0, 0) y+ -- (0, 0, 0) y+",
"(1, 1, 0) y- -- (0, 0, 1) z- -- (1, 0, 0) x+",
"(0, 0, 1) z- -- (1, 0, 0) y+ -- (0, 0, 1) z-",
"(1, 0, 0) x- -- (1, 1, 0) x-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
14-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) y+",
"(0, 0, 1) y+",
"(1, 1, 0) y- -- (1, 0, 0) x- -- (1, 1, 0) x+",
"(0, 0, 0) y+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
15-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) y+",
"(2, 0, 0) x- -- (2, 0, 1) z-",
"(2, 0, 1) z-",
"(2, 1, 0) x- -- (0, 1, 1) x+ -- (0, 1, 0) y-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
16-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 1) z- -- (2, 0, 1) y+",
"(2, 0, 0) y+ -- (2, 0, 0) y+ -- (2, 1, 0) y-",
"(2, 1, 0) y- -- (2, 0, 0) x- -- (2, 1, 0) x-",
"(2, 1, 0) y- -- (2, 0, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
17-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) y+ -- (1, 0, 0) x+ -- (0, 1, 0) y-",
"(1, 1, 0) x- -- (1, 1, 0) x+",
"(1, 1, 0) y- -- (1, 1, 0) y-",
"(1, 1, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
18-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x- -- (1, 1, 0) x-",
"(1, 0, 1) y+ -- (1, 0, 0) x- -- (2, 1, 1) x-",
"(0, 1, 0) y- -- (2, 1, 0) x-",
"(0, 1, 0) y- -- (2, 1, 1) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
19-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) x- -- (0, 1, 1) y-",
"(2, 0, 1) y+ -- (2, 0, 0) y+",
"(2, 0, 1) y+",
"(2, 0, 0) y+ -- (0, 0, 0) x+ -- (2, 1, 0) y-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
20-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x- -- (0, 0, 1) y+ -- (0, 1, 1) z-",
"(0, 0, 0) y+",
"(0, 0, 0) y+ -- (0, 1, 0) y-",
"(0, 0, 0) y+"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
21-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x+ -- (2, 0, 1) x-",
"(1, 0, 0) y+ -- (0, 1, 0) y-",
"(2, 0, 1) y+ -- (1, 1, 0) x- -- (1, 1, 0) x+",
"(1, 1, 0) x+ -- (2, 0, 1) z- -- (2, 1, 0) y-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
22-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x- -- (1, 0, 0) x- -- (1, 1, 0) x+",
"(2, 0, 1) z- -- (1, 0, 0) x- -- (0, 0, 0) y+",
"(2, 0, 0) x- -- (0, 1, 0) x+ -- (2, 0, 1) x-",
"(1, 0, 0) x- -- (0, 0, 0) y+ -- (0, 1, 1) x+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
23-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) y+ -- (2, 0, 0) y+",
"(2, 0, 1) y+ -- (2, 1, 0) y- -- (2, 1, 0) x-",
"(2, 0, 0) y+ -- (2, 0, 0) x- -- (1, 1, 0) x-",
"(1, 1, 0) y- -- (2, 0, 0) x-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
24-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 1) x+ -- (1, 1, 0) x+",
"(0, 1, 1) z- -- (0, 0, 0) y+",
"(0, 0, 1) y+ -- (0, 0, 0) y+",
"(0, 1, 0) y- -- (0, 1, 1) z- -- (2, 0, 0) y+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
25-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) x+ -- (0, 0, 1) z- -- (0, 0, 1) x+",
"(1, 1, 0) x+ -- (1, 0, 0) x-",
"(0, 0, 1) x+ -- (0, 0, 0) y+ -- (1, 1, 0) x+",
"(1, 1, 1) y- -- (1, 1, 0) x- -- (1, 1, 0) x-"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
26-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) y+ -- (2, 0, 0) x-",
"(2, 0, 0) x- -- (1, 0, 0) y+",
"(1, 1, 0) y- -- (1, 0, 0) y+ -- (1, 1, 0) y-",
"(2, 0, 0) y+ -- (2, 1, 0) y-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
27-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) x+ -- (0, 0, 0) x+ -- (1, 0, 0) x+",
"(0, 0, 0) y+ -- (0, 0, 0) y+ -- (0, 1, 0) x+",
"(0, 0, 0) x+ -- (0, 1, 0) y-",
"(0, 0, 0) x+ -- (0, 0, 0) y+ -- (0, 0, 1) z-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
28-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 1) x- -- (2, 0, 0) y+",
"(1, 0, 1) x- -- (2, 0, 1) z- -- (2, 0, 0) y+",
"(1, 0, 1) x+ -- (1, 0, 1) x+",
"(2, 0, 0) y+ -- (1, 0, 0) x- -- (0, 0, 0) x+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
29-3-2-2-3
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x- -- (0, 1, 0) y- -- (0, 0, 0) x+",
"(2, 0, 0) y+",
"(2, 0, 0) x- -- (2, 0, 1) z-",
"(2, 0, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
30-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 0, 0) x+ -- (0, 1, 1) z- -- (1, 1, 0) x-",
"(0, 1, 1) z- -- (1, 1, 0) y- -- (1, 1, 0) y-",
"(0, 1, 0) y- -- (1, 0, 0) x+ -- (0, 1, 1) x+",
"(1, 1, 0) x- -- (1, 1, 0) y- -- (0, 1, 1) x+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
31-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 2) y- -- (1, 0, 0) x+ -- (0, 0, 1) x+",
"(0, 1, 2) z- -- (1, 0, 0) x- -- (0, 1, 2) z-",
"(1, 0, 0) x- -- (0, 0, 1) y+ -- (0, 1, 2) y-",
"(0, 1, 1) y- -- (0, 0, 2) z- -- (0, 0, 2) x+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
32-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 1, 0) x- -- (2, 1, 0) x-",
"(0, 1, 0) y- -- (2, 1, 0) x-",
"(2, 1, 0) y- -- (1, 1, 0) x+ -- (1, 1, 0) y-",
"(0, 1, 0) x+"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
33-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 1) z- -- (0, 0, 0) y+",
"(1, 0, 0) y+ -- (0, 1, 0) y- -- (1, 1, 0) x-",
"(0, 0, 0) x+ -- (0, 1, 0) y- -- (0, 0, 0) y+",
"(0, 1, 1) x+ -- (0, 0, 0) y+"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
34-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 1) x- -- (2, 0, 0) x- -- (1, 0, 0) y+",
"(2, 0, 1) z- -- (2, 0, 1) x- -- (2, 0, 0) x-",
"(2, 0, 0) x-",
"(2, 0, 0) x- -- (2, 0, 1) z- -- (1, 0, 0) x+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
35-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 1, 1) y- -- (2, 1, 1) z-",
"(2, 1, 0) x- -- (2, 0, 0) y+",
"(0, 1, 1) y- -- (0, 1, 1) z- -- (0, 0, 2) y+",
"(0, 1, 0) y- -- (2, 1, 1) y- -- (2, 0, 1) z-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
36-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(1, 1, 0) x+ -- (1, 1, 0) y-",
"(0, 1, 0) x+ -- (1, 0, 0) x+ -- (1, 1, 0) y-",
"(1, 0, 0) x- -- (0, 1, 0) x+",
"(1, 0, 0) y+ -- (0, 1, 0) y- -- (1, 1, 0) y-"
] |
B
|
{'B': 'Option B is correct because the initial state can be transformed into the final state.', 'ACD': 'Option ACD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
37-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 0) x+ -- (1, 0, 0) y+",
"(0, 1, 0) x+ -- (1, 1, 0) x-",
"(0, 0, 0) x+ -- (1, 1, 0) x+",
"(1, 1, 0) y- -- (1, 0, 0) y+ -- (1, 0, 0) y+"
] |
D
|
{'D': 'Option D is correct because the initial state can be transformed into the final state.', 'ABC': 'Option ABC is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
38-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(0, 0, 1) z- -- (1, 0, 0) x- -- (0, 0, 1) z-",
"(0, 0, 1) x+ -- (2, 0, 0) y+",
"(1, 0, 0) x+ -- (0, 0, 0) y+ -- (0, 0, 0) x+",
"(1, 0, 0) y+ -- (0, 0, 0) x+ -- (2, 0, 0) x-"
] |
C
|
{'C': 'Option C is correct because the initial state can be transformed into the final state.', 'ABD': 'Option ABD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
BlockMoving
|
Level1
|
39-3-2-3-4
|
The top row of images shows different views of the initial state of a cube stack, while the bottom row shows different views of the final state after transformation. During the transformation process, blocks can move one unit in any direction (forward, backward, left, right, up, down). If the target position is empty, the block can move there directly; if the target position already has a block, they swap places. Blocks cannot float in the air. If a block is moved away from a position, any block above it will fall down until reaching a supporting surface. The xyz axes are shown in the diagram, and each block's position can be precisely identified using coordinates (x1,y1,z1). Which of the following transformation sequences can change the cube stack from the initial state to the final state shown in the diagram? Please answer from options A, B, C, or D.
|
[
"(2, 0, 0) x- -- (0, 0, 0) y+ -- (2, 0, 0) y+",
"(2, 1, 1) z- -- (2, 1, 2) z-",
"(2, 0, 0) y+ -- (0, 0, 0) y+ -- (2, 0, 0) y+",
"(2, 1, 1) z- -- (1, 0, 0) x+ -- (1, 0, 0) x-"
] |
A
|
{'A': 'Option A is correct because the initial state can be transformed into the final state.', 'BCD': 'Option BCD is incorrect because the initial state cannot be transformed into the final state.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
0
|
The orange gear is fixed on the stationary green gear. If the orange gear rotates counterclockwise in the given view, what is the motion of the yellow gear relative to the orange gear? Please answer from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"Counterclockwise rotation, clockwise revolution",
"Counterclockwise rotation, counterclockwise revolution"
] |
B
|
{'ABCD': 'When the outer gear is fixed, the planet gear revolves in the same direction as the sun gear rotates, but spins in the opposite direction.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
1
|
The orange gear is fixed on the stationary green gear. If the orange gear rotates clockwise in the given view, what is the motion of the yellow gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"Counterclockwise rotation, clockwise revolution",
"Counterclockwise rotation, counterclockwise revolution"
] |
C
|
{'ABCD': 'When the outer gear is fixed, the planet gear revolves in the same direction as the sun gear rotates, but spins in the opposite direction.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
2
|
The stationary orange gear is fixed to the shaft. If the green gear rotates clockwise along the shaft, what is the motion of the yellow gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"Counterclockwise rotation, clockwise revolution",
"Counterclockwise rotation, counterclockwise revolution"
] |
A
|
{'ABCD': 'When the sun gear is stationary, the planet gear both rotates and revolves in the same direction as the outer gear.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
3
|
The stationary orange gear is fixed to the shaft. If the green gear rotates counterclockwise along the shaft, what is the motion of the yellow gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"Counterclockwise rotation, clockwise revolution",
"Counterclockwise rotation, counterclockwise revolution"
] |
D
|
{'ABCD': 'When the sun gear is stationary, the planet gear both rotates and revolves in the same direction as the outer gear.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
4
|
In the coaxial system shown, the orange gear is fixed, and the yellow and green gears are identical in shape. If the yellow gear rotates clockwise, what is the motion of the green gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"No rotation, clockwise revolution",
"No rotation, counterclockwise revolution"
] |
C
|
{'ABCD': 'When the outer gears are identical, their opposite rotations cancel each other out, so the outermost gear does not spin but revolves in the same direction as the middle gear.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
5
|
In the coaxial system shown, the orange gear is fixed, and the yellow and green gears are identical in shape. If the yellow gear rotates counterclockwise, what is the motion of the green gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"No rotation, clockwise revolution",
"No rotation, counterclockwise revolution"
] |
D
|
{'ABCD': 'When the gears are identical in shape, their opposite rotations cancel each other out, so the outermost gear does not spin but revolves in the same direction as the middle gear.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
6
|
The orange and yellow gears have the same number of teeth and share an axis but are not meshed. If the green gear rotates counterclockwise, what is the motion of the yellow gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"No rotation, clockwise revolution",
"No rotation, counterclockwise revolution"
] |
D
|
{'ABCD': 'When the gears have the same number of teeth, the gear revolves with the outer gear but does not rotate.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
7
|
The orange and yellow gears have the same number of teeth and share an axis but are not meshed. If the green gear rotates clockwise, what is the motion of the yellow gear relative to the orange gear? Please choose from options A, B, C, or D.
|
[
"Clockwise rotation, clockwise revolution",
"Clockwise rotation, counterclockwise revolution",
"No rotation, clockwise revolution",
"No rotation, counterclockwise revolution"
] |
C
|
{'ABCD': 'When the gears have the same number of teeth, the gear revolves with the outer gear but does not rotate.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
8
|
When the red shaft connected to the green rod rotates clockwise, what is the motion of the centrally fixed blue gear? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the right"
] |
A
|
{'ABCD': 'The green rod drives the blue gear to rotate only in the clockwise direction.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
9
|
When the red shaft connected to the green rod rotates counterclockwise, what is the motion of the centrally fixed blue gear? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
A
|
{'ABCD': 'The green rod only drives the blue gear to rotate clockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
10
|
The two orange gears on the left and right are fixed on a stationary rotating shaft. When the teeth of the yellow gear pass through the left orange gear in a clockwise direction, how does the orange gear assembly move relative to the shaft? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
B
|
{'ABCD': 'The left orange gear meshes with the yellow gear. As the yellow gear moves rightward, it causes the left orange gear to rotate counterclockwise, thereby driving the entire orange gear assembly to rotate counterclockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
11
|
The two orange gears on the left and right are fixed on a stationary rotating shaft. When the teeth of the yellow gear pass through the left orange gear in a counterclockwise direction, how does the orange gear assembly move relative to the shaft? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
A
|
{'ABCD': 'The left orange gear meshes with the yellow gear. As the yellow gear moves leftward, it causes the left orange gear to rotate clockwise, thereby driving the entire orange gear assembly to rotate clockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
12
|
The two orange gears on the left and right are fixed on a stationary rotating shaft. When the teeth of the yellow gear pass through the right orange gear in a clockwise direction, how does the orange gear assembly move relative to the shaft? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
A
|
{'ABCD': 'The right orange gear meshes with the yellow gear. As the yellow gear moves leftward, it causes the right orange gear to rotate clockwise, driving the entire orange gear assembly to rotate clockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
13
|
The two orange gears on the left and right are fixed on a stationary rotating shaft. When the teeth of the yellow gear pass through the right orange gear in a counterclockwise direction, how does the orange gear assembly move relative to the shaft? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
B
|
{'ABCD': 'The right orange gear meshes with the yellow gear. As the yellow gear moves rightward, it causes the right orange gear to rotate counterclockwise, which drives the entire orange gear assembly to rotate counterclockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
14
|
When an external force is applied to the blue gear from the left, how does it move? Please choose from options A, B, C, or D.
|
[
"Center translates to the right",
"Center rotates to the left",
"Does not rotate",
"Center translates to the left"
] |
D
|
{'ABCD': "While rotating counterclockwise, the gear's center also translates to the left."}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
15
|
When an external force is applied to the blue gear from the right, how does it move? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Center rotates to the left",
"Does not rotate",
"Center translates to the left"
] |
A
|
{'ABCD': 'The gear rotates clockwise while its center translates to the right.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
16
|
The blue and green gears are meshed on the same axis. One end of the green shaft is fixed to the green gear. When the green gear revolves counterclockwise around the blue gear, in which direction does the other end of the green shaft rotate? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
B
|
{'ABCD': "In this case, the green shaft rotates in the same direction as the green gear's own rotation."}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
17
|
The blue and green gears are meshed on the same axis. One end of the green shaft is fixed to the green gear. When the green gear revolves clockwise around the blue gear, in which direction does the other end of the green shaft rotate? Please choose from options A, B, C, or D.
|
[
"Rotates clockwise",
"Rotates counterclockwise",
"Does not rotate",
"Translates to the left"
] |
A
|
{'ABCD': 'In this case, the green shaft rotates in the same direction as the green gear’s own rotation.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
18
|
The green rack moves to the left. What is the resulting motion of the blue rack? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
A
|
{'ABCD': 'Meshed racks move in the same direction.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
19
|
The green rack moves to the right. What is the resulting motion of the blue rack? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
B
|
{'ABCD': 'Meshed racks move in the same direction.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
20
|
Two gears are fixed on their respective shafts. When the gray gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
21
|
Two gears are fixed on their respective shafts. When the gray gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
22
|
Two gears are fixed on their respective shafts. When the blue gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
23
|
Two gears are fixed on their respective shafts. When the blue gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
24
|
Two gears are fixed on their respective shafts. When the blue gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
25
|
Two gears are fixed on their respective shafts. When the blue gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
26
|
Two gears are fixed on their respective shafts. When the blue gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
27
|
Two gears are fixed on their respective shafts. When the blue gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
28
|
Two gears are fixed on their respective shafts. When the orange gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
29
|
Two gears are fixed on their respective shafts. When the orange gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
30
|
Two gears are fixed on their respective shafts. When the orange gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
31
|
Two gears are fixed on their respective shafts. When the orange gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
32
|
Two gears are fixed on their respective shafts. When the blue gear rotates clockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
33
|
Two gears are fixed on their respective shafts. When the blue gear rotates counterclockwise, what is the resulting motion of the green gear? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'Meshed gears rotate in opposite directions.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
34
|
In the current setup, when the blue shaft rotates clockwise, what is the resulting motion of the green object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
B
|
{'ABCD': 'The green object is constrained to slide horizontally. The clockwise rotation of the blue shaft pushes it to the right.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
35
|
In the current setup, when the blue shaft rotates counterclockwise, what is the resulting motion of the green object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
A
|
{'ABCD': 'The green object is constrained to slide horizontally. The counterclockwise rotation of the blue shaft pushes it to the left.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
36
|
Two orange semicircles are coaxially mounted above and below within the green object. When the orange semicircles accelerate clockwise, what is the resulting motion of the green object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'The green object has a greater moment of inertia on the outside than on the inside, causing it to rotate in the opposite direction of the orange semicircles.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
37
|
Two orange semicircles are coaxially mounted above and below within the green object. When the orange semicircles accelerate counterclockwise, what is the resulting motion of the green object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'The green object has a greater moment of inertia on the outside than on the inside, causing it to rotate in the opposite direction of the orange semicircles.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
38
|
One end of the orange object is fixed, and the other end is embedded in the blue object. The bottom of the blue object is fixed. In the current state, if the orange object rotates counterclockwise around its fixed end, what is the resulting motion of the blue object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
C
|
{'ABCD': 'In the current state, the orange object pushes the blue object to the right, causing it to rotate clockwise.'}
|
MentalAnimation
|
MechanicalSystem
|
Level0
|
39
|
One end of the orange object is fixed, and the other end is embedded in the blue object. The bottom of the blue object is fixed. In the current state, if the orange object rotates clockwise around its fixed end, what is the resulting motion of the blue object? Please choose from options A, B, C, or D.
|
[
"Translates to the left",
"Translates to the right",
"Rotates clockwise",
"Rotates counterclockwise"
] |
D
|
{'ABCD': 'In the current state, the orange object pushes the blue object to the left, causing it to rotate counterclockwise.'}
|
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