images
listlengths 1
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| problem
stringlengths 14
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| answer
stringlengths 1
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| id
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| choices
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stringlengths 1
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|---|---|---|---|---|---|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4912.jpg"
}
] |
<image>Are we united or divided?
|
united
| 62,281 | null |
united
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4918.jpg"
}
] |
<image>What are these zebras doing in the grass?
|
fight
| 62,287 | null |
fight
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4920.jpg"
}
] |
<image>Why do people typically visit this location?
|
vacation
| 62,289 | null |
vacation
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4924.jpg"
}
] |
<image>What kind of oil are doughnuts traditionally fried in?
|
canola
| 62,293 | null |
canola
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4937.jpg"
}
] |
<image>Who is the best skateboy?
|
hawk
| 62,306 | null |
hawk
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4975.jpg"
}
] |
<image>What type of gun does this police man carry?
|
9mm
| 62,344 | null |
9mm
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/4990.jpg"
}
] |
<image>Which of the devices laying on top of the laptop keyboard was manufactured first?
|
1 on far right
| 62,359 | null |
1 on far right
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5009.jpg"
}
] |
<image>How many teeth do these animals have in their mouth?
|
32
| 62,378 | null |
32
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5034.jpg"
}
] |
<image>What is the floor cleaned with?
|
vacuum
| 62,403 | null |
vacuum
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5037.jpg"
}
] |
<image>Where did this style of portable tv come from?
|
sony
| 62,406 | null |
sony
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5098.jpg"
}
] |
<image>Which emergency service is in this photo?
|
tow
| 62,467 | null |
tow
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5130.jpg"
}
] |
<image>What is the name of the attatchment being pointed to?
|
bidet
| 62,499 | null |
bidet
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5160.jpg"
}
] |
<image>What is this kit used for?
|
sew
| 62,529 | null |
sew
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5174.jpg"
}
] |
<image>What ethnicity are the people?
|
caucasian
| 62,543 | null |
caucasian
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5184.jpg"
}
] |
<image>Why might we suspect that a collision occurred somewhere around this intersection?
|
bent sign
| 62,553 | null |
bent sign
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5188.jpg"
}
] |
<image>What is the fence shown in this image called?
|
bat cage
| 62,557 | null |
bat cage
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5190.jpg"
}
] |
<image>How fast does this vehicle go?
|
100 mph
| 62,559 | null |
100 mph
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5192.jpg"
}
] |
<image>What are these animals doing?
|
run
| 62,561 | null |
run
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5221.jpg"
}
] |
<image>How often are you supposed to water this surface?
|
daily
| 62,590 | null |
daily
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5224.jpg"
}
] |
<image>What part of the city would this be located in?
|
park
| 62,593 | null |
park
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5226.jpg"
}
] |
<image>What is the imaginary line between these two groups of players called?
|
center
| 62,595 | null |
center
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5332.jpg"
}
] |
<image>In what desert are these horses?
|
sahara
| 62,701 | null |
sahara
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5353.jpg"
}
] |
<image>Which side of the stop sign is visible?
|
back
| 62,722 | null |
back
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5417.jpg"
}
] |
<image>Name the material used to make this toy shown in this picture?
|
felt
| 62,786 | null |
felt
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5427.jpg"
}
] |
<image>What do men sleep on when their wives kick them out of the bedroom?
|
sofa
| 62,796 | null |
sofa
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5443.jpg"
}
] |
<image>What vehicle is this?
|
car
| 62,812 | null |
car
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5470.jpg"
}
] |
<image>How many floors are on the cruise ship?
|
6
| 62,839 | null |
6
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5487.jpg"
}
] |
<image>What part of group does this man belong?
|
navy
| 62,856 | null |
navy
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5490.jpg"
}
] |
<image>What type of seat is this?
|
toilet
| 62,859 | null |
toilet
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5502.jpg"
}
] |
<image>What brand are the rear view mirrors on the bus?
|
honda
| 62,871 | null |
honda
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5504.jpg"
}
] |
<image>This sport is called who's passtime?
|
americas
| 62,873 | null |
americas
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5566.jpg"
}
] |
<image>Name this type of four letter animal?
|
bird
| 62,935 | null |
bird
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5612.jpg"
}
] |
<image>What cocktail is this lady drinking?
|
vodka cranberry
| 62,981 | null |
vodka cranberry
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5630.jpg"
}
] |
<image>What would be strapped to this animal to transport humans?
|
saddle
| 62,999 | null |
saddle
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5642.jpg"
}
] |
<image>What type of horse is in the image?
|
clydesdale
| 63,011 | null |
clydesdale
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5650.jpg"
}
] |
<image>How does the animal in this image produce its distinctive sound?
|
pure
| 63,019 | null |
pure
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5651.jpg"
}
] |
<image>Is this cat relaxing or waiting to ambush human prey?
|
relax
| 63,020 | null |
relax
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5705.jpg"
}
] |
<image>Who makes chairs like this?
|
ikea
| 63,074 | null |
ikea
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5715.jpg"
}
] |
<image>How much water do this animal consume in a day?
|
5 gallons
| 63,084 | null |
5 gallons
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5730.jpg"
}
] |
<image>What is the most likely relationship of these people?
|
sister
| 63,099 | null |
sister
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5747.jpg"
}
] |
<image>Who is currently ranked number one in this sport in the men's category?
|
rafael nadal
| 63,116 | null |
rafael nadal
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5762.jpg"
}
] |
<image>When were these transportation vessels first created?
|
8200bc
| 63,131 | null |
8200bc
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5774.jpg"
}
] |
<image>What is in the mug?
|
coffee
| 63,143 | null |
coffee
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5800.jpg"
}
] |
<image>What kind of event is this?
|
fair
| 63,169 | null |
fair
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5845.jpg"
}
] |
<image>Which part of this man's face is sporting a look often associated with villains?
|
chin
| 63,214 | null |
chin
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5866.jpg"
}
] |
<image>Why is this woman smiling?
|
giraffe
| 63,235 | null |
giraffe
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5955.jpg"
}
] |
<image>Which country does this food originate from?
|
italy
| 63,324 | null |
italy
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5961.jpg"
}
] |
<image>The three chairs are made from what material?
|
bamboo
| 63,330 | null |
bamboo
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5965.jpg"
}
] |
<image>If wearing proper glasses what might this picture do?
|
pop out
| 63,334 | null |
pop out
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/5993.jpg"
}
] |
<image>What do they like to eat?
|
leaf
| 63,362 | null |
leaf
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6012.jpg"
}
] |
<image>What kind of clouds are pictured?
|
storm
| 63,381 | null |
storm
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6015.jpg"
}
] |
<image>Where did they get this pizza?
|
domino
| 63,384 | null |
domino
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6021.jpg"
}
] |
<image>Who made those shoes?
|
shoemaker
| 63,390 | null |
shoemaker
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6060.jpg"
}
] |
<image>How hot are these peppers?
|
very hot
| 63,429 | null |
very hot
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6192.jpg"
}
] |
<image>In soccer what is the term to stop the ball?
|
block
| 63,561 | null |
block
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6211.jpg"
}
] |
<image>What do the red street signs mean?
|
wrong way
| 63,580 | null |
wrong way
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6264.jpg"
}
] |
<image>Is this a good example of a sea creature or land creature?
|
land
| 63,633 | null |
land
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6284.jpg"
}
] |
<image>What class of animal do these belong?
|
cattle
| 63,653 | null |
cattle
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6339.jpg"
}
] |
<image>What cafe is his shirt from?
|
road kill
| 63,708 | null |
road kill
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6346.jpg"
}
] |
<image>The horse seen here has a friend that is shaped like a stick of gum called what?
|
gumby
| 63,715 | null |
gumby
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6377.jpg"
}
] |
<image>What is this kind of vehicle called?
|
cherry picker
| 63,746 | null |
cherry picker
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6455.jpg"
}
] |
<image>What type of lighting is noticeably absent from this room?
|
overhead
| 63,824 | null |
overhead
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6470.jpg"
}
] |
<image>What animal is chassing this sheep?
|
cat
| 63,839 | null |
cat
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6479.jpg"
}
] |
<image>What is this vehicle used for?
|
haul
| 63,848 | null |
haul
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6488.jpg"
}
] |
<image>What is used to help the green plant grow?
|
fertilizer
| 63,857 | null |
fertilizer
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6491.jpg"
}
] |
<image>What major us retailer was this animal used as the mascot for?
|
toy r us
| 63,860 | null |
toy r us
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6493.jpg"
}
] |
<image>Its a bird its a blank?
|
plane
| 63,862 | null |
plane
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6559.jpg"
}
] |
<image>What breed of dog is in the picture?
|
collie
| 63,928 | null |
collie
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6582.jpg"
}
] |
<image>What type of pavement is the bus traveling on?
|
cement
| 63,951 | null |
cement
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6699.jpg"
}
] |
<image>How fast does this goes?
|
500 mph
| 64,068 | null |
500 mph
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6700.jpg"
}
] |
<image>What is usually in the big blue metal box?
|
newspaper
| 64,069 | null |
newspaper
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6708.jpg"
}
] |
<image>What kind of playground this is?
|
bat cage
| 64,077 | null |
bat cage
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6745.jpg"
}
] |
<image>What is around this mans neck that's orange in color?
|
bow tie
| 64,114 | null |
bow tie
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6748.jpg"
}
] |
<image>What type of bar is located on this desk behind the computer?
|
sound
| 64,117 | null |
sound
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6823.jpg"
}
] |
<image>What are these people waiting for?
|
parade
| 64,192 | null |
parade
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6839.jpg"
}
] |
<image>Does the person eating pizza look more like carmen sandiego or michael jackson?
|
michael jackson
| 64,208 | null |
michael jackson
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6873.jpg"
}
] |
<image>What historical period was this object used most?
|
1920s
| 64,242 | null |
1920s
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6874.jpg"
}
] |
<image>What model of truck is this?
|
dodge
| 64,243 | null |
dodge
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6890.jpg"
}
] |
<image>How many calories are in this meal?
|
400
| 64,259 | null |
400
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6911.jpg"
}
] |
<image>What breed of the first horse?
|
appaloosa
| 64,280 | null |
appaloosa
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6921.jpg"
}
] |
<image>What brand of bicycle is that?
|
huffy
| 64,290 | null |
huffy
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6947.jpg"
}
] |
<image>What is that scooter in the background called?
|
vespa
| 64,316 | null |
vespa
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6957.jpg"
}
] |
<image>What resturant sells this?
|
fast food
| 64,326 | null |
fast food
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6961.jpg"
}
] |
<image>In which province is the grey guy originated?
|
india
| 64,330 | null |
india
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/6983.jpg"
}
] |
<image>How skilled does this skier appear to be?
|
very
| 64,352 | null |
very
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7018.jpg"
}
] |
<image>What do you call a racing event for this mode of transportation?
|
regatta
| 64,387 | null |
regatta
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7028.jpg"
}
] |
<image>What type of item is singer most known for producing?
|
sew machine
| 64,397 | null |
sew machine
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7037.jpg"
}
] |
<image>What is the largest one of these in the world?
|
shanghai metro
| 64,406 | null |
shanghai metro
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7042.jpg"
}
] |
<image>What is the purpose of this vehicle?
|
transportation
| 64,411 | null |
transportation
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7046.jpg"
}
] |
<image>Why does the boy in the white play baseball?
|
for fun
| 64,415 | null |
for fun
|
[
{
"bytes": null,
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/7057.jpg"
}
] |
<image>Name the place where these persons are playing?
|
baseball field
| 64,426 | null |
baseball field
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/0.jpg"
}
] |
<image>AB and DE are parallel. The measure of angle BAC is 30 , and the measure of angle CDE is 50. What is the measure of angle ACD?
Choices:
(A) 100
(B) 90
(C) 80
(D) 70
(E) cannot be determined from the information
|
90
| 64,439 | null |
90
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/1.jpg"
}
] |
<image>Given a circle with the center indicated. Find x.
Choices:
(A) 100
(B) 80
(C) 50
(D) 40
(E) None
|
40
| 64,440 | null |
40
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/2.jpg"
}
] |
<image>In the figure above, AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC?
Choices:
(A) 18
(B) 13.5
(C) 9
(D) 4.5
(E) 3
|
4.5
| 64,441 | null |
4.5
|
[
{
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/3.jpg"
}
] |
<image>Given the circle at the right with two intersecting chords. Find x.
Choices:
(A) 2
(B) 6
(C) 8
(D) 10
(E) None
|
8
| 64,442 | null |
8
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/4.jpg"
}
] |
<image>In the diagram at the right, AC = DC = DB. If the measure of angle ACD is 48, find the measure of angle B.
Choices:
(A) 24 degrees
(B) 33 degrees
(C) 48 degrees
(D) 66 degrees
(E) None
|
33 degrees
| 64,443 | null |
33 degrees
|
[
{
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/5.jpg"
}
] |
<image>Given Circle O with diameter CD. AB is parallel with CD and AB=80*\degree. Find angle of arc CA.
Choices:
(A) 50
(B) 60
(C) 80
(D) 100
(E) None
|
50
| 64,444 | null |
50
|
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/6.jpg"
}
] |
<image>Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x.
Choices:
(A) 4
(B) 5
(C) 8
(D) 10\sqrt(10)
(E) None
|
10\sqrt(10)
| 64,445 | null |
10\sqrt(10)
|
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/7.jpg"
}
] |
<image>A and B are equidistant from the line l. How many circles can be drawn with their centers on line l and that pass through both A and B?
Choices:
(A) 1
(B) 2
(C) 3
(D) 4
(E) >10
|
3
| 64,446 | null |
3
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geos/unsolved_images/8.jpg"
}
] |
<image>In the diagram at the right, parallel lines a and m are cut by transversal t, 1 = 4x + 16 and 2 = 2x - 22. Find 1.
Choices:
(A) 31 degrees
(B) 40 degrees
(C) 140 degrees
(D) 148 degrees
(E) None
|
31 degrees
| 64,447 | null |
31 degrees
|
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