rationale
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To be back to square one is to be back at the beginning, or the starting point.
True
FLUTE
Context: "So we're back to the beginning." Claim: "So were back to square one." Considering the context, is the claim true, false, or unknown?
Three people does not imply friends and sitting at a table as they eat meals does not imply being at a restaurant.
Unknown
esnli
Given the statement "Three people sitting at a table smile as they eat their meals.", what is the statement "Friends enjoying a meal at a restaurant." true? - Yes - No - Unknown
7e/30 tells us that e is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.
B
aqua
In e is a positive integer smaller than 200 and (14e)/60 is an integer, then e has how many different positive prime factors? A. 2 B. 3 C. 5 D. 6 E. 8
If a crowd of people are walking up and down a flight of stairs, then there must be people on the stairs.
No
esnli
Given the statement "A crowd of people walking up and down a flight of stairs.", is the statement "People are on the stairs." wrong? - Yes - No - Unknown
There were an average of 40 + 50 = 90 apples. And, there were 30 + 40 = 70 oranges. Thus, Wendy gained 90 x $1.50 = $135 for selling apples. And, she gained an additional 70 x $1 = $70 for selling oranges. Therefore, her total sales for the day is $135 + 70 = $205.
205
gsm8k
Wendy is a fruit vendor, and she sells an apple at $1.50 each and one orange at $1. In the morning, she was able to sell an average of 40 apples and 30 oranges. In the afternoon, she was able to sell 50 apples and 40 oranges. How much are her total sales for the day?
A man and woman are different subjects. Rides and driving are two different actions. A bike and car are separate objects.
False
esnli
Context: "A woman rides a bike on a dirt path." Claim: "A man is driving a car." Considering the context, is the claim true, false, or unknown?
The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot) The probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards) Prob that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4 Thus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120 Thus the probability that she makes at least one shot = 1 - (1/120) = 119/120
2
aqua
An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed. 1. 104/105 2. 119/120 3. 139/140 4. 9/10 5. 14/15
Plugging in, $f(11) = 11^2 + 11 + 17 = 121 + 28 = 149$.
$149$
competition-math
If $f(n) = n^2 + n + 17$, what is the value of $f(11)$?
Throwing a Frisbee to a dog does not imply one is training the dog, nor training for obedience, or for a competition.
Unknown
esnli
Context: A woman thows a Frisbee to a dog as a baseball player in uniform runs behind her. Hypothesis: A woman is training her dog for an obedience competition. Is the hypothesis incorrect? (Yes, no, or unknown)?
Not all men laying bricks are busy.Just because a man is laying concrete bricks doesn't imply that it is a construction site.
I don't know
esnli
Context: A man in a tan hat and sombrero hat laying concrete bricks. Hypothesis: A man is working at a busy construction site. Given this context, is the hypothesis true (Yes/No/I don't know)?
The color of the attire of the kids is contradictory in red and white as against blue shirt, tan shorts and black shirt of first sentence.
False
esnli
Context: "A girl in a blue shirt and tan shorts is standing on a road with a boy in a black shirt." Hypothesis: The kids are wearing red and white. Based on the context, is the hypothesis true, false, or unknown?
One scenario has the baby being drenched by the small boy who dumps water on him, the other has the baby being put into the water.
False
esnli
Context: "A small boys dumps water on a baby." Hypothesis: A small boy puts a baby into water. Based on the context, is the hypothesis true, false, or unknown?
A piece of wood with wheels would be a skateboard and riding the skateboard implies you are outside.
Yes
esnli
Given the statement "A guy on a skateboard griding down a handrail.", what is the statement "A guy riding a piece of wood with wheels outdoors." true? - Yes - No - Unknown
Someone cannot be walking down a sidewalk and sledding down a hill at the same time, flowers indicate warmer weather, which is contradictory of sledding in winter.
Yes
esnli
Consider the statement "walking down flower lined sidewalk wearing yellow shirt". Is the statement "Sledding down a hill in the winter." false? Yes/no/unknown
Ladders have many rungs and the top is the least safe to stand on, not everyone will stand on the top.
I don't know
esnli
Given the statement "A man wearing black and blue stands on a ladder while wheat pasting a picture of a dancing man.", is the statement "A man is standing on the top of a ladder." is true? - Yes - No - I don't know
Just because an orchestra performs does not necessary that there are many people playing different instruments.
Unknown
esnli
Context: "An orchestra performs." Claim: "There are many people playing different instruments." Considering the context, is the claim true, false, or unknown?
Two people are standing in a field holding some books does not imply that they discussing their homework
Unknown
esnli
Context: "Two people are standing in a field holding some books." Claim: "people discussing their homework" Considering the context, is the claim true, false, or unknown?
Most of earth's surface is covered by water.
[2]
senmaking
Pick which sentence is not logical. Options: [1] "most of the earth's surface is covered by water" [2] "most of the earth's surface is covered by dirt"
The sight of a man lying on the ground with his face covered in blood and flies crawling all over his mouth is not beautiful at all and would evoke feelings of horror and disgust instead.
Yes
FLUTE
Consider the statement "I came across a man lying on ground with his face covered in blood and flies in his mouth.". Is the statement "I can't explain in words how beautiful it was to see a man lying on the ground with his face covered in blood and flies crawling all over his mouth" false? Yes/no/unknown
If there are 50 rows of flowers with 400 flowers per row, there are 50*400 = 20000 flowers in the garden, Mr. Wells cuts flowers from 60% of the flowers, which is 60/100*20000 = 12000 flowers. The total number of flowers remaining in the garden is 20000-12000 = 8000
8000
gsm8k
Mr. Wells has a garden of flowers with 50 rows. If each row has 400 flowers and Mr. Wells cuts 60% of the flowers, how many flowers are remaining in the garden?
One group all have their shirts tucked in while only one has his shirt tucked in and the others do not.
No
esnli
Consider the staetement "One boy tucks his shirt in but the others do not.". Based on this statement, is "There is a group of boys with all their shirts tucked in." a true statement? Yes/no/unknown
Being on a stage doe snot imply that they are filming rehearsals, nor does it imply that it is for a TV-staged play. It also does not imply that the performance they are filming is new. None of the men can be inferred to be a producer, and it cannot be inferred that the men are providing feedback.
Unknown
esnli
Given the statement "On a dimly lit stage, two men, one with a boom mike, another with a camera, face a third man sitting alone in the audience.", what is the statement "During rehersals for the new TV-staged play, the producer gets feedback from his technical crew on lighting and sound." true? - Yes - No - Unknown
We have no idea if he was making a lunch reservation on his phone, he could be calling anyone for any reason.
Unknown
esnli
Given the statement "Black man in white tee and jeans standing in a parking lot talking on his cell.", is the statement "The male in black and white was outside making a lunch reservation on his phone." wrong? - Yes - No - Unknown
A young man with intense concentration on his face throws a pitch while on the pitcher's mound on a baseball field does not indicate that he plays for the Braves.
Unknown
esnli
Given the statement "A young man with intense concentration on his face throws a pitch while on the pitcher's mound on a baseball field.", is the statement "The young man plays for the Braves." wrong? - Yes - No - Unknown
由于是$$9$$个点,故$$4$$个为上平面的顶点,下平面$$4$$个顶点,正方体中心为$$1$$个点, 故只需要$$\begin{cases} a\geqslant 1 \sqrt{3}a\geqslant 2 \end{cases}$$,解得$$a\geqslant \frac{2\sqrt{3}}{3}$$,故当$$a=\frac{2\sqrt{3}}{3}$$时, 一定存在$$9$$个点使得两两距离至少为$$1$$.
$$1$$
TAL-SCQ5K
在边长为$$a$$的立方体的表面及内部可以找到$$9$$个点,使得其中任意两个点的距离至少为$$1$$,则$$a$$的最小值是. - $$\frac{2\sqrt{2}}{3}$$ - $$\frac{2\sqrt{3}}{3}$$ - $$1$$ - $$\sqrt{3}$$
Just because a man is giving a presentation to a room full of people doesn't mean a teacher is instructing his students while they listen to his presentation.
Unknown
esnli
Context: A man in a collared shirt points to a projector as he gives a presentation to a room full of people. Hypothesis: The teacher is instructing his students while they listen to his presentation. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
Two people are in a car implies they are sitting and rephrases two people in helmets sitting in an orange car.
No
esnli
Context: Two people in helmets sitting in an orange car. Hypothesis: Two people are in a car. Is the hypothesis incorrect? (Yes, no, or unknown)?
Saying that the man has the same colored bike and jacket is a way of shortening and being less redundant by saying he has a gold coat and a gold bicycle.
Yes
esnli
Context: A man in a gold coat has a gold bicycle in the city. Hypothesis: There is a man with the same colored bike and jacket in the city. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
A tennis player is playing the game a lot which causes them to sweat, therefore he/she needs a headband to stop the sweating.
Yes
esnli
Context: The tennis player wears a headband to protect his eyes from sweat. Hypothesis: The tennis player is working hard. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
The children can either be having a pillow fight or playing Xbox. They cannot be doing both at the same time.
No
esnli
Consider the statement "Four children are having a pillow fight.". Based on this "Four children play Xbox." a true statement? Yes, no, or I don't know?
Rainfall in an area is important because it influences the rate of weathering. More rain means that more rainwater passes through the soil. The rainwater reacts chemically with the particles. The top layers of soil are in contact with the freshest water, so reactions are greatest there. High rainfall increases the amount of rock that experiences chemical reactions. High rainfall may also carry material away. This means that new surfaces are exposed. This increases the rate of weathering.
Sample b
ropes
Rob is an environmental scientist. He is looking at two samples of soil, sample A and sample B. Sample A is from Amazon Rain-forest, where they get one of the highest rainfall in the world. Sample B is from the Atacama Desert, where they get one of the lowest rainfall in the world. He needs to determine the properties of these samples. Based on the above, answer the following question: In which sample less rocks would have chemical reactions, sample A or sample B?
Unfortunately, the layer of good ozone is being destroyed by air pollution. The chief culprits are chlorine and bromine gases. They are released in aerosol sprays, coolants, and other products. Loss of ozone has created an ozone hole over Antarctica. Ozone depletion results in higher levels of UV radiation reaching Earth. In humans, this increases skin cancers and eye cataracts. It also disturbs the nitrogen cycle, kills plankton, and disrupts ocean food webs. The total loss of the ozone layer would be devastating to most life. It’s rate of loss has slowed with restrictions on pollutants, but it is still at risk.
Momu
ropes
Two related native tribes live thousands of miles away from each other. Ana tribe lives near the South Pole in Antarctica, while Momu tribe lives in Northern Alaska near the North Pole. Which tribe was less exposed to an increased risk of eye cataracts?
If two men who play hockey are fist fighting while wearing different jerseys, it follows that it is a hockey game, which would be on the ice.
True
esnli
Context: "Two men who play in hockey, one with a red jersey and one with a white jersey, are fist fighting each other." Claim: "Two men are fighting with each other on the ice." Considering the context, is the claim true, false, or unknown?
Frank will pay $20 x 1/4 = $5 for the joystick. Eman will pay $20 - $5 = $15 for the joystick. So, Frank will pay a total of $140 + $5 = $145. While Eman will pay a total of $100 + $15 = $115. Therefore, Frank will spend $145 - $115 = $30 more than Eman.
30
gsm8k
Two siblings, Eman and Frank, agreed to buy a new computer table, computer chair, and a joystick. The computer table costs $140, the computer chair costs $100, and the joystick costs $20. Eman agreed to pay for the computer chair while Frank agreed to pay for the computer table. Then Frank agreed to pay 1/4 of the price of the joystick and the rest will be paid by Eman. How much more money will Frank spend than Eman?
Brain cells die quickly if their oxygen supply is cut off. Brain atrophy means the brain matter has shrunk, often because brain cells are dying or dead. Brain atrophy is caused by lack of oxygen.
h
qasc
what causes brain atrophy? a) Smoking b) sodium c) Dehydration d) sweating e) death f) birth g) Veins and arteries. h) lack of oxygen
Rephrasing of the sentence. It is implied that the woman witting on a stool with a piano is seated at a piano.
Yes
esnli
Context: A woman with long blond-hair is sitting on a stool with a piano. Hypothesis: A woman is seated at a piano. Given this context, is the hypothesis true (Yes/No/I don't know)?
A man running in a bull fight is not always running from the bull and was not necessarily riding just moments before.
I don't know
esnli
Given the statement "It is bull fight and a man is running towards the ground.", is the statement "The man is running from the bull that he was riding just moments before." is true? - Yes - No - I don't know
原式$$=\frac{37\times 1001001001\times 73}{2701\times 1001001001}$$ $$=\frac{2701\times 1001001001}{2701\times 1001001001}$$ $$=1$$.
$$1$$
TAL-SCQ5K
计算:$$\frac{37037037037\times 73}{2703703703701}=$$~\uline{~~~~~~~~~~}~. Options: * $$1$$ * $$27$$ * $$37$$ * 无法计算
A baby would have the motor skills to either be drinking a bottle or wave a flag, but not both at the same time.
False
esnli
Context: "A baby wearing a white gown waves a Muslim flag." Hypothesis: A baby is drinking a bottle. Based on the context, is the hypothesis true, false, or unknown?
You cannot be playing guitar if you are throwing glitter as the guitar requires both hands to play it.
Yes
esnli
Consider the statement "Two of the members of Lynyrd Skynyrd are performing on stage playing guitar in front of a sign that says, "Lynyrd Skynyrd, God and Guns, World Tour"". Is the statement "The band is throwing glitter on the crowd." false? Yes/no/unknown
Just because there is a man near children doesn't mean those kids are his kids. Not all men standing behind carts with children with food.
Unknown
esnli
Consider the statement "A man is standing behind a cart, outside, with two children inside and one child outside.". Is the statement "A man is near a cart with his kids inside with food" false? Yes/no/unknown
First, \[\frac{1 + i}{1 - i} = \frac{(1 + i)(1 + i)}{(1 - i)(1 + i)} = \frac{1 + 2i + i^2}{1 - i^2} = \frac{1 + 2i - 1}{1 + 1} = \frac{2i}{2} = i.\]So, \[\left( \frac{1 + i}{1 - i} \right)^{1000} = i^{1000} = (i^2)^{500} = (-1)^{500} = 1.\]
$1$
competition-math
Simplify \[\left( \frac{1 + i}{1 - i} \right)^{1000}.\]
$4\times4\times4=64$
4
TAL-SCQ5K
How many different three-digit numbers can we make using $6,7,8,$ and $9$? The digits can be repeated. Options: 1) $$16$$ 2) $$24$$ 3) $$32$$ 4) $$64$$
A kangaroo is known for its quick and powerful jumps, which is similar to the way the person describes their arm moving.
Yes
FLUTE
Consider the staetement "I hit her in the face quickly and repetitively before I could process what my arm was doing.". Based on this statement, is "In one quick motion my arm turns, before I can grasp what direction it's about to maneuver, I'm bopping lexy in the face like a cartoon kangaroo ." a true statement? Yes/no/unknown
Other than the word "jeans", X and Y are synonyms. A girl is a female, she is wearing a green shirt and bowling shoes, and knocking down the last three pins would be picking up a spare.
Yes
esnli
Consider the staetement "A girl wearing a lime green shirt, jeans and bowling shoes is trying to knock down the last three pins.". Based on this statement, is "A female trying to pick up a spare is wearing a green shirt and bowling shoes." a true statement? Yes/no/unknown
There are 7 continents in the world
No
feasibilityQA
Cooper is an Asian and is planning to visit all the other continents in the next 5 years. Q: Is it true that "After 2 years, Cooper could visit 8 continents excluding Asia."
It went down in value 1000*6=$6000 So the car is worth 20000-6000=$14,000
14000
gsm8k
Tim's car goes down in value by $1000 a year. He bought it for $20,000. How much is it worth after 6 years?
Surface temperature differences in turn cause pressure differences. A hot surface warms the air above it causing it to expand and lower the density and the resulting surface air pressure. The resulting horizontal pressure gradient moves the air from higher to lower pressure regions, creating a wind, and the Earth's rotation then causes deflection of this air flow due to the Coriolis effect. The simple systems thus formed can then display emergent behaviour to produce more complex systems and thus other weather phenomena. Large scale examples include the Hadley cell while a smaller scale example would be coastal breezes.
Namib desert
ropes
Mark was visiting southern Africa as an exchange student. He was amazed by the beauty of Namib Desert, which is located mostly in Namibia. He kind of enjoyed the hot surface of the desert. Next to Namib desert is the grasslands of Botswana. He noticed that the surface temperature was much lower there. Which place would have lower air density, Namib Desert or Grasslands in Botswana?
A person, in a kitchen, holding an egg on top of a bowl with rice in it is not necessarily about to crack an egg.
Unknown
esnli
Context: A person, in a kitchen, is holding an egg on top of a bowl with rice in it. Hypothesis: A person is about to crack an egg. Is the hypothesis incorrect? (Yes, no, or unknown)?
Animals may avoid becoming prey by living out of sight of predators, whether in caves, burrows, or by being nocturnal. Nocturnality is an animal behavior characterized by activity during the night and sleeping during the day. This is a behavioral form of detection avoidance called crypsis used by animals to either avoid predation or to enhance prey hunting. Predation risk has long been recognized as critical in shaping behavioral decisions. For example, this predation risk is of prime importance in determining the time of evening emergence in echolocating bats. Although early access during brighter times permits easier foraging, it also leads to a higher predation risk from bat hawks and bat falcons. This results in an optimum evening emergence time that is a compromise between the conflicting demands.Another nocturnal adaptation can be seen in kangaroo rats. They forage in relatively open habitats, and reduce their activity outside their nest burrows in response to moonlight. During a full moon, they shift their activity towards areas of relatively dense cover to compensate for the extra brightness.
Wild boars
ropes
Consider the following text: John was studying the species in African Savannah. He noticed that elands, which is a prey animal, are basically nocturnal. On the other hand, wild boars, another prey animal, are not nocturnal. Which species would sleep less during the day, elands or wild boars?
First, if the a full tire needs 500 cubic inches of air, then two empty tires need: 500 cubic inches/tire * 2 tires = 1000 cubic inches. Accordingly, the 40%-full tire needs 500 cubic inches * (100%-40%). So, we find the 40%-full tire needs 500 cubic inches * (60%) = 300 cubic inches. And, the 70%-full tire needs 500 cubic inches * (100%-70%). So, the 70%-full tire needs 500 cubic inches * (30%)= 150 cubic inches. Now add up the needs of all the tires to find the total number of cubic inches needed: 1000 cubic inches + 300 cubic inches + 150 cubic inches = 1450 cubic inches. Finally, if the pumps each hold 50 cubic inches, the total number of pumps needed is 1550 cubic inches / 50 cubic inches/pump = 29 pumps.
29
gsm8k
Carson is refilling his tires. Each tire can hold 500 cubic inches of air. Two of the tires are completely flat and empty. One tire is 40% full and the last tire is 70% full. If Carson injects 50 cubic inches of air with each pump, how many pumps will it take him to fill all the tires?
It is very rude for a company not to reply back to an applicant after they have taken the time to apply for a job and the person is being expected to be discouraged for not receiving a response.
No
FLUTE
Context: I was upset not to get a response back from a company that I applied for a job at Hypothesis: I was encouraged not to get a response back from the company after applying for the job Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
总工程量的$$\frac{1}{3}$$为$$8\times 35=280$$(人$$\cdot $$天), 还有$$\frac{2}{3}$$,即$$2\times 280=560$$(人$$\cdot $$天), 要完成剩余的工程,还需要$$\frac{560}{8+6}=40$$(天).
[c]
TAL-SCQ5K
$$8$$个人用$$35$$天完成了某项工程的$$\frac{1}{3}$$.此时,又增加$$6$$个人,那么要完成剩余的工程,还需要的天数是(~ ). Options: [a] $$18$$ [b] $$35$$ [c] $$40$$ [d] $$60$$
Momentum is directly proportional to velocity.
Yes
feasibilityQA
Leo's experiment is to observe the relationship between the momentum and speed for two objects that move with different speed.The objects are identical in nature. The quicker object has a momentum of 90 units. Question: Is the following statement plausible? The momentum of slower object could be 83 units.
Each can is filled with 8/4*3=6 gallons of water. A total of 6*20=120 gallons of water is filled in 3 hours. In 1 hour, 120/3=40 gallons of water is filled. 25 full cans can hold 25*8=200 gallons of water. It will take 200/40=5 hours to fill 25 cans to full capacity.
5
gsm8k
A pickup truck can fill 20 eight gallon water cans (each can filled three quarters of its capacity) in three hours. If each can is filled to full capacity instead, how long, in hours, will it take to fill 25 cans?
Not all girls are a famous artist. A painting is not always urban art. A wall does not always have the city mural.
Unknown
esnli
Context: "girl making a painting on the wall with spray." Hypothesis: A famous artist is creating urban art on the city mural Based on the context, is the hypothesis true, false, or unknown?
Just because the boy and the girl are dressed in jeans and blue shirts does not make them siblings.
Unknown
esnli
Context: "A barefoot boy and girl facing each other stand on a sidewalk dressed in jeans and blue t-shirts at the park." Hypothesis: The boy and the girl facing each other are siblings. Based on the context, is the hypothesis true, false, or unknown?
The women cannot be in chairs and in bed at the same time, and they cannot be alone if they are near a child in the street
No
esnli
Context: Two women sit in chairs while a child in the street gets the attention of the camera. Hypothesis: two women sit in bed alone Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
A few people indicates more than a college basketball player. And you cannot be going up for a jump shot while listening to music at a house party at the same time
False
esnli
Context: "College basketball player going up for a jump shot while another attempts to defend." Claim: "A few people are listening to music at a house party." Considering the context, is the claim true, false, or unknown?
The subject cannot be pushing a stroller and talking into a microphone unless mentioned in the same sentence.
No
esnli
Consider the staetement "A man in a red cap singing (or talking) into a microphone during the day with trees in the background.". Based on this statement, is "A man is pushing a stroller." a true statement? Yes/no/unknown
In order to be on horseback, a person must be on a horse, while guarding a building implies they are outside.
True
esnli
Context: "people on horses guarding a building." Claim: "People on horseback outside." Considering the context, is the claim true, false, or unknown?
$8\times9\times10\div2=360$ $360-6=354$
[b]
TAL-SCQ5K
Jam has some pieces of candy. He wants to share with some kids. If he shares the candy among $8$ kids on average, there will be $2$ pieces left. If he shares the candy among $9$ kids on average, there will be $3$ pieces left. If he shares the candy among $10$ kids on average, there will be $4$ pieces left. How many pieces of candy are there? Options: [a] $321$ [b] $354$ [c] $720$ [d] $360$ [e] $240$
The total earnings from the ticket are $30 x 500 = $15000. The band got $15000 x 70/100 = $10500. So each band member got $10500/4 = $2625.
2625
gsm8k
Five hundred people attended the band concert. For that concert, the band gets 70% of the ticket price. If each ticket costs $30 and there are 4 members of the band, how much did each band member get from that concert?
Street vendors show their necklaces for sale to three customers does not mean they try to coax people into buying their jewelry
I don't know
esnli
Context: Street vendors show their necklaces for sale to three customers. Hypothesis: Street vendors try to coax people into buying their jewelry. Given this context, is the hypothesis true (Yes/No/I don't know)?
The idiom means that there is usually truth behind a rumor, and the context is saying that the generally accepted reaction was that there was truth behind the rumor of his sacking.
No
FLUTE
Context: People usually don't make things up out of thin air without any truth was the generally accepted reaction to his sacking Hypothesis: no smoke without fire was the generally accepted reaction to his sacking. Is the hypothesis incorrect? (Yes, no, or unknown)?
40% of the marbles are of other colors because 100 - 20 - 40 = 40 The friend will on average get 2 other colored marbles because 5 x .4 = 2
2
gsm8k
Percius has a collection of marbles. 40% of them are clear. 20% are black, and the remainder are all the other colors. A friend of his asks if he can take five marbles. On average, how many marbles of other colors will his friend end up getting?
To get the perimeter, you add all the sides o the triangles, so the first two sides add up to 40+50 = 90 cm. If the perimeter of the triangle is 160, the remaining side is 160-90 = 70 cm.
70
gsm8k
The perimeter of a triangle is 160 cm. If two of the sides are 40 cm and 50 cm, calculate the length of the third side?
The sound of arguing neighbors can often be very disruptive and so someone considering it to be pleasant is not really accurate.
No
FLUTE
Context: My next door neighbors are always arguing in our shared hallway. Hypothesis: It's so pleasant to have to hear my next door neighbors argue all the time in our shared hallway. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
Men do not menstruate and a brother is a male.
"my brother is menstruating"
senmaking
Pick which sentence is not logical. Options: "my brother is menstruating" "my brother is sweating"
As a young man, Bohr worked in Rutherford’s lab in England. Because Rutherford’s model was weak on the position of the electrons, Bohr focused on them. He hypothesized that electrons can move around the nucleus only at fixed distances from the nucleus based on the amount of energy they have. He called these fixed distances energy levels, or electron shells. He thought of them as concentric spheres, with the nucleus at the center of each sphere. In other words, the shells consisted of sphere within sphere within sphere. Furthermore, electrons with less energy would be found at lower energy levels, closer to the nucleus. Those with more energy would be found at higher energy levels, farther from the nucleus. Bohr also hypothesized that if an electron absorbed just the right amount of energy, it would jump to the next higher energy level. Conversely, if it lost the same amount of energy, it would jump back to its original energy level. However, an electron could never exist in between two energy levels. These ideas are illustrated in the Figure below .
Jump to higher level
ropes
Consider the following text: Greg was studying Bohr's model. He found it helpful to categorize different scenarios in the model. First, he labeled electron with higher energy as cat A, and electron with lower energy as cat B. Then he labeled electron that gained energy as cat C, and election that lost energy as cat D. Would cat C Jump to higher level or go to lower level?
First find the total time Javier spends writing: 30 minutes + 28 minutes = 58 minutes Then divide that amount of time by 2 to find how much time he spends practicing: 58 minutes / 2 = 29 minutes Then add the time he spends outlining, writing and practicing to find his total time spent: 29 minutes + 58 minutes + 30 minutes = 117 minutes
117
gsm8k
Javier spends 30 minutes outlining his speech, 28 more minutes writing than outlining, and half as much time practicing as writing. How much time does he spend on his speech in total?
- The temperautre on lands is usually colder and less humid in moisture - Moisture and warm temperature is the source of energy in hurricanes - Therefore, when a hurricane moves over land , that hurricane will decrease in strength - When a hurricane moves over land , that hurricane will decrease in strength - A continent is a kind of large land mass - Hence, when a hurricane moves over a continent, that hurricane will decrease in strength So, when a hurricane moves over a continent, that hurricane will decrease in strength
moving over a continent.
entailment_bank
Question: Which of the following factors would most likely cause a hurricane to decrease in strength? Context: - The temperautre on lands is usually colder and less humid in moisture - Moisture and warm temperature is the source of energy in hurricanes - A continent is a kind of large land mass
Two workers is different from nobody and spraying is not the same as spraying a solution on garbage
False
esnli
Context: "Two workers spraying a solution on garbage." Hypothesis: Nobody is spraying Based on the context, is the hypothesis true, false, or unknown?
A library does not usually have a tree one can climb, the boy would not be climbing and looking right a camera.
False
esnli
Context: "A little boy in a blue shirt looking at the camera, concrete in the background." Hypothesis: The little boy is climbing a tree in the middle of a library. Based on the context, is the hypothesis true, false, or unknown?
If a person is giving a speech, then it is wrong to claim that he is sitting quietly. Being on a stage is different than sitting in a field.
No
esnli
Consider the staetement "A man on a stage giving a speech.". Based on this statement, is "The Buddhist monk sits quietly in a field." a true statement? Yes/no/unknown
The young woman sitting on the cement border of flower bed does not imply she sits to pick the flower.
Unknown
esnli
Context: "A pretty young dark-haired woman, wearing a black skirt and light plum-colored shirt, sitting on a cement border of a raised flower bed in the city." Hypothesis: A lady sits on cement to pick a flower from the flower bed. Based on the context, is the hypothesis true, false, or unknown?
A woman wearing a sleeveless dress who stands next to a car does not mean the woman is an actress or the car is a limo or that she is on her way to an awards show.
Unknown
esnli
Consider the statement "A woman with black hair wearing a sleeveless dress stands next to a car.". Is the statement "An actress getting out of a limo on her way to an award show." false? Yes/no/unknown
Rivers are usually larger than streams. Snows melt and replenish the rivers and lakes. Something made from metling snow is usually larger than a stream.
A
qasc
Streams are smaller than something made from what? A) Metling snow B) body water C) an organism's body D) Sediment E) fossil fuels F) Weathering G) erosion H) aqueous solution
- Photosynthesis means green plants convert from carbon dioxide and water and solar energy into carbohydrates and food and oxygen for themselves - Photosynthesis is a kind of process - Therefore, photosynthesis is a kind of process in which plants convert carbon dioxide and water and solar energy into carbohydrates and food ans oxygen for themselves - A plant is a kind of organism - If an organism uses a process to convert something into something else, then that organism is a source of that something else through that process - Therefore, if a plant uses a process to convert something into something else then that plant is a source of that something else through that process - Photosynthesis is a kind of process in which plants convert carbon dioxide and water and solar energy into carbohydrates and food ans oxygen for themselves - If a plant uses a process to convert something into something else then that plant is a source of that something else through that process - Hence, plants are a source of carbohydrates through photosynthesis - Plants are a source of carbohydrates through photosynthesis - Carbohydrates are made of sugars - Therefore, plants are a source of sugar through photosynthesis - Photosynthesis means green plants convert from carbon dioxide and water and solar energy into carbohydrates and food and oxygen for themselves - Photosynthesis is a kind of process - Hence, photosynthesis is a kind of process in which plants convert carbon dioxide and water and solar energy into carbohydrates and food and oxygen for themselves - A plant is a kind of organsim - If an organism uses a process to convert something into something else, then that organism is a source of that something else through that process - Hence, if a plant uses a process to convert something into something else, then that plant is a source of that something else through that process - Photosynthesis is a kind of process in which plants convert carbon dioxide and water and solar energy into carbohydrates and food and oxygen for themselves - If a plant uses a process to convert something into something else, then that plant is a source of that something else through that process - So, plants are a source of oxygen through photosynthesis - Plants are a source of sugar through photosynthesis - Plants are a source of oxygen through photosynthesis - So, plants are a source of oxygen and sugar through photosynthesis - Plants are a source of oxygen and sugar through photosynthesis - A source of something produces that something - Hence, plants produce oxygen and sugar through photosynthesis Hence, plants produce oxygen and sugar through photosynthesis
oxygen and sugar
entailment_bank
Question Which are produced during photosynthesis? Context - A plant is a kind of organism - Photosynthesis means green plants convert from carbon dioxide and water and solar energy into carbohydrates and food and oxygen for themselves - A plant is a kind of organsim - A source of something produces that something - If an organism uses a process to convert something into something else, then that organism is a source of that something else through that process - Photosynthesis is a kind of process - Carbohydrates are made of sugars
The fact that boy is dropping rocks doesn't imply that water is splashing up at him and hitting his face.
Unknown
esnli
Context: A little boy in a striped shirt is dropping rocks to make the water splash up at him. Hypothesis: A little boy in a striped shirt is dropping rocks to make the water splash up at him and it's hitting him in the face Is the hypothesis incorrect? (Yes, no, or unknown)?
The people could have been going anywhere after crossing the street instead of heading specifically to the photoshop.
Unknown
esnli
Context: "A curly-blond-haired man and a black woman wait to cross the street across from a photo store." Claim: "Two people are heading to a photoshop" Considering the context, is the claim true, false, or unknown?
Amanda has gone on 7 hikes x 8 = 56 hikes. Steven has gone on 56 hikes + 15 hikes = 71 hikes. Camila needs to go on another 71 hikes - 7 hikes = 64 hikes. Camila will achieve her goal in 64 hikes / 4 hikes/week = 16 weeks.
16
gsm8k
Camila has only gone hiking 7 times in her life. Amanda has gone on 8 times as many hikes as Camila, and Steven has gone on 15 more hikes than Amanda. If Camila wants to say that she has hiked as many times as Steven and plans to go on 4 hikes a week, how many weeks would it take Camila to achieve her goal?
Riding a bicycle in front of orange and black cones implies a person is riding a bicycle next to traffic cones.
Yes
esnli
Given the statement "A man in green and white skin tight clothes, and a red and white bicycle helmet is riding a bicycle in front of some yellow fencing and orange and black cones.", is the statement "A man is riding a bicycle next to traffic cones." is true? - Yes - No - I don't know
There are two young boys with shovels who are outside and are digging in the dirt does not indicate they are digging for bugs and worms
I don't know
esnli
Consider the statement "There are two young boys with shovels who are outside and are digging in the dirt.". Based on this "Two boys are digging for bugs and worms." a true statement? Yes, no, or I don't know?
There will equal or less number of girls than the total number of students
No
feasibilityQA
The number of students in a class is 79. Q: Is it true that "There could be 93 girls in this class."
Animal cruelty is a very serious matter and it is heartbreaking to think that there are people in the world who treat animals like they are nothing
True
FLUTE
Context: "It really makes me sad to think there are people who treat animals like trash, animal cruelty is a really serious matter" Claim: "It breaks my heart that there are people who discard animals like they are trash and don't care about the immense suffering they endure" Considering the context, is the claim true, false, or unknown?
To give food for thought is to give someone something to think about, which is what happened in this sentence.
No
FLUTE
Given the statement "But I was, it puzzled me and gave me something to think about as I made my way back outside the club.", is the statement "But I was, it perplexed me and gave me food for thought as I made my way back outside the club." wrong? - Yes - No - Unknown
Just because men are standing on the back of a garbage truck does not mean that they necessarily work for the garbage company, especially if they are wearing shorts and sandals.
I don't know
esnli
Consider the statement "Four men in shorts and sandals ride standing on the back of a garbage truck on a cobblestone street.". Based on this "The men work for the garbage company." a true statement? Yes, no, or I don't know?
The cyclist might not be a racer, meaning that they might not even catch up to try and retake the lead.
Unknown
esnli
Given the statement "Cyclist number forty-eight treks through the mud.", what is the statement "a racer catches up to try to retake the lead" true? - Yes - No - Unknown
Saturated hydrocarbons are given the general name of alkanes . The name of specific alkanes always ends in - ane . The first part of the name indicates how many carbon atoms each molecule of the alkane has. The smallest alkane is methane. It has just one carbon atom. The next largest is ethane, with two carbon atoms. The chemical formulas and properties of methane, ethane, and several other alkanes are listed in Table below . The boiling and melting points of alkanes are determined mainly by the number of carbon atoms they have. Alkanes with more carbon atoms generally have higher boiling and melting points.
Vic
ropes
Context: Vic and Joe studied chemistry in school. Joe studied alkanes, while his friend Vic studied other acyclic hydrocarbons. Question: Which friend studied more about the boiling points of alkanes?
A cyclist is a person on a bicycle and a dirt biker rides a dirt bike so they would not be the same person as those are different things.
No
esnli
Context: Dirt biker on a professional riding course near an airport, composed of dirt. Hypothesis: A speed cyclist wins a race on an indoor track. Given this context, is the hypothesis true (Yes/No/I don't know)?
Jack will have 65-18 = 47 pounds of sugar tomorrow. Jack will have 47+50 = 97 pounds of sugar the following day.
97
gsm8k
Jack has 65 pounds of sugar today. Tomorrow he will use 18 pounds of sugar and the following day he will buy 50 more pounds of sugar. How many pounds will he have in the end?
The units digit of $31^3$ is the same as the units digit of $1^3$, which is 1. The units digit of $13^3$ is the same as the units digit of $3^3$, which is 7. Therefore, the units digit of $31^3+13^3$ is $8$.
$8$
competition-math
What is the units digit of $31^3+13^3$?
Fanning a fire increases the oxygen near the fire. Oxygen can be in short supply as the fire consumes it also. Fanning a flame helps it consume air.
d
qasc
Fanning a flame can help it do what? a: survive b: Relieve pain c: to move people d: consume air e: dissolve f: Cooking g: liquefy h: consume liquid
Even though the man is preparing hot dogs on the street, he is not necessarily selling them to a crowd.
Unknown
esnli
Given the statement "A man in a cowboy hat prepares hotdogs on the street.", is the statement "A man is selling hot dogs to a crowd." wrong? - Yes - No - Unknown
Time taken to fill the container is inversely proportional flow rate.
Yes
feasibilityQA
Context: There are two pipes, each has filled container of equal capacity. Pipe with a higher flow rate has filled the container in 49 minutes. Question: "Time taken by other pipe could be 52 minutes." -- Is this statement true?
Just because the people are participating in the parade does not mean they are playing instruments in it.
Unknown
esnli
Context: All these people enjoy the parade by participating in it. Hypothesis: People are playing instruments in a parade. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
The fact that a woman is standing in a parking lot doesn't imply she is waiting for her husband and doesn't imply waiting for pick up and doesn't imply from work.
I don't know
esnli
Given the statement "Woman standing in a parking lot by vehicles.", is the statement "A woman is waiting for her husband to pick her up from work." is true? - Yes - No - I don't know
Humans are not something that can be given or traded as a commodity.
[b]
senmaking
Which of the following two sentences does not make sense? Options: [a] "give me more sheeps" [b] "give me more humans"
Being laughed at is not an enjoyable experience.
(b)
senmaking
Of the below sentences, which one does *not* make sense? Options: (a) "his friend laughs at his haircut, so he is upset" (b) "his friend laughs at his haircut, so he is happy"