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The full dataset viewer is not available (click to read why). Only showing a preview of the rows.
The dataset generation failed
Error code:   DatasetGenerationError
Exception:    ArrowInvalid
Message:      JSON parse error: Invalid value. in row 0
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 324, in _generate_tables
                  df = pandas_read_json(f)
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 38, in pandas_read_json
                  return pd.read_json(path_or_buf, **kwargs)
                         ~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/pandas/io/json/_json.py", line 791, in read_json
                  json_reader = JsonReader(
                      path_or_buf,
                  ...<16 lines>...
                      engine=engine,
                  )
                File "/usr/local/lib/python3.14/site-packages/pandas/io/json/_json.py", line 905, in __init__
                  self.data = self._preprocess_data(data)
                              ~~~~~~~~~~~~~~~~~~~~~^^^^^^
                File "/usr/local/lib/python3.14/site-packages/pandas/io/json/_json.py", line 917, in _preprocess_data
                  data = data.read()
                File "/usr/local/lib/python3.14/site-packages/datasets/utils/file_utils.py", line 844, in read_with_retries
                  out = read(*args, **kwargs)
                File "<frozen codecs>", line 325, in decode
              UnicodeDecodeError: 'utf-8' codec can't decode byte 0xff in position 0: invalid start byte
              
              During handling of the above exception, another exception occurred:
              
              Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 327, in _generate_tables
                  raise e
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 290, in _generate_tables
                  pa_table = paj.read_json(
                      io.BytesIO(batch), read_options=paj.ReadOptions(block_size=block_size)
                  )
                File "pyarrow/_json.pyx", line 342, in pyarrow._json.read_json
                File "pyarrow/error.pxi", line 155, in pyarrow.lib.pyarrow_internal_check_status
                  return check_status(status)
                File "pyarrow/error.pxi", line 92, in pyarrow.lib.check_status
                  raise convert_status(status)
              pyarrow.lib.ArrowInvalid: JSON parse error: Invalid value. in row 0
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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id
string
ques_image_paths
string
question
string
choices
string
answer
string
category
string
grade
null
dataset
string
task
string
text_score
float64
visual_score
null
composite_score
null
M1
float64
M2
float64
M3
float64
M4
float64
pass
bool
fail_reason
string
error
null
ques_image_path_lst
list
sub category
string
cac967c9-422a-42b8-b57d-9ef61d278f84
cac967c9-422a-42b8-b57d-9ef61d278f84_1.jpg
How many points are there in the three unseen sides of dice? <image1>
[]
11
Discrete Mathematics & Formal Logic
null
MathVision
Arithmetic
26
null
null
2
3
4
4
true
pass
null
[ "cac967c9-422a-42b8-b57d-9ef61d278f84_1.jpg" ]
Arithmetic & Concrete Number Theory
bbe07578-d02f-4428-985d-7c0a1225de2b
bbe07578-d02f-4428-985d-7c0a1225de2b_1.jpg
Six different numbers, chosen from integers 1 to 9 , are written on the faces of a cube, one number per face. The sum of the numbers on each pair of opposite faces is always the same. Which of the following numbers could have been written on the opposite side with the number 8 ? <image1>
[]
3
Discrete Mathematics & Formal Logic
null
MathVision
Logic
56
null
null
2
3
3
4
true
pass
null
[ "bbe07578-d02f-4428-985d-7c0a1225de2b_1.jpg" ]
Abstract Logic & Procedural Puzzles
0cd379fa-0ae3-4f23-bce4-7dfbfffd946e
0cd379fa-0ae3-4f23-bce4-7dfbfffd946e_1.jpg
Three of the cards shown will be dealt to Nadia, the rest to Riny. Nadia multiplies the three values of her cards and Riny multiplies the two values of his cards. It turns out that the sum of those two products is a prime number. Determine the sum of the values of Nadia's cards. <image1>
[]
13
Continuous Mathematics & Analysis
null
MathVision
Algebra
110
null
null
2
3
4
4
true
pass
null
[ "0cd379fa-0ae3-4f23-bce4-7dfbfffd946e_1.jpg" ]
Foundations of Algebra
e336df98-8b63-44fe-a592-49b12d2ebb53
e336df98-8b63-44fe-a592-49b12d2ebb53_1.jpg
Each side of a die is marked with either 1,2 or 3 dots so that the probability of rolling a 1 is equal to $\frac{1}{2}$, the probability of rolling a 2 is equal to $\frac{1}{3}$ and the probability of rolling a 3 is equal to $\frac{1}{6}$. Which of these pictures cannot be a picture of this particular die? <image1>
['A', 'B', 'C', 'D', 'E']
C
Geometry Reasoning
null
MathVision
Solid Geometry
59
null
null
2
3
3
4
true
pass
null
[ "e336df98-8b63-44fe-a592-49b12d2ebb53_1.jpg" ]
Solid Geometry & Volumetrics
1eb3ceb1-a773-4985-96a5-a479eb7a75a3
1eb3ceb1-a773-4985-96a5-a479eb7a75a3_1.jpg
Frank laid out his dominoes as shown in the picture. (Dominoes which touch must always have the same number of points). Before his brother George removed two dominoes there were 33 points altogether. How many points is the questionmark worth? <image1>
[]
4
Continuous Mathematics & Analysis
null
MathVision
Algebra
41
null
null
2
3
3
4
true
pass
null
[ "1eb3ceb1-a773-4985-96a5-a479eb7a75a3_1.jpg" ]
Foundations of Algebra
bfcd8e97-37a5-4e81-a210-7fbee1e97fed
bfcd8e97-37a5-4e81-a210-7fbee1e97fed_1.jpg
Baris has a few dominoes as shown in the picture. He wants to lay them in a line according to the rules of dominoes, that is that two dominoes can only be laid together if the neighbouring squares have the same number of dots in them. What is the biggest number of these dominoes that he can lay in a single line? <image...
[]
5
Discrete Mathematics & Formal Logic
null
MathVision
Graph Theory
63
null
null
2
3
4
4
true
pass
null
[ "bfcd8e97-37a5-4e81-a210-7fbee1e97fed_1.jpg" ]
Combinatorics & Graph Structures
1cf3d4a0-2216-4666-b3df-3a2ab13b92d3
1cf3d4a0-2216-4666-b3df-3a2ab13b92d3_1.jpg
Amy, Bert, Carl, Doris and Ernst each throw two dice. Who has got the biggest total altogether? <image1>
['Amy', 'Bert', 'Carl', 'Doris', 'Ernst']
E
Discrete Mathematics & Formal Logic
null
MathVision
Arithmetic
18
null
null
2
3
4
4
true
pass
null
[ "1cf3d4a0-2216-4666-b3df-3a2ab13b92d3_1.jpg" ]
Arithmetic & Concrete Number Theory
dbbfa00d-f717-476b-9939-27fba44134ff
dbbfa00d-f717-476b-9939-27fba44134ff_1.jpg
The sum of the dots on opposite sides of an ordinary die is 7. Which of the following dice could be an ordinary die? <image1>
['A', 'B', 'C', 'D', 'E']
E
Geometry Reasoning
null
MathVision
Solid Geometry
25
null
null
2
3
4
4
true
pass
null
[ "dbbfa00d-f717-476b-9939-27fba44134ff_1.jpg" ]
Solid Geometry & Volumetrics
0c2740e4-5aa4-47c8-b407-b47ac8873347
0c2740e4-5aa4-47c8-b407-b47ac8873347_1.jpg
In a game of dominoes the tiles always have to be placed so that the touching halves of two adjacent domino tiles show the same number of dots. Paul has six domino tiles in front of him (see diagram). <image1> In several steps Paul tries to arrange them in a correct order. In each step he is either allowed to swap any ...
[]
3
Discrete Mathematics & Formal Logic
null
MathVision
Graph Theory
93
null
null
2
3
3
4
true
pass
null
[ "0c2740e4-5aa4-47c8-b407-b47ac8873347_1.jpg" ]
Combinatorics & Graph Structures
1d3d441a-9749-43c7-a2d8-6f9041faa8cb
1d3d441a-9749-43c7-a2d8-6f9041faa8cb_1.jpg
If you add the numbers on opposite faces of this special die, you will get the same total three times. The numbers on the hidden faces of the die are prime numbers. Which number is on the face opposite to 14? <image1>
[]
23
Discrete Mathematics & Formal Logic
null
MathVision
Logic
84
null
null
2
2
3
4
true
pass
null
[ "1d3d441a-9749-43c7-a2d8-6f9041faa8cb_1.jpg" ]
Abstract Logic & Procedural Puzzles
a7276d84-c4bc-4cc9-8782-e336efa98a09
a7276d84-c4bc-4cc9-8782-e336efa98a09_1.jpg
Four identical dice are arranged in a row as shown in the diagram. Although each die does have 1, 2, 3, 4, 5, 6 dots, the sum of the numbers of dots on each pair of opposite faces is not necessarily 7 . What is the total number of dots on the six touching faces of the dice? <image1>
[]
20
Discrete Mathematics & Formal Logic
null
MathVision
Arithmetic
118
null
null
2
3
4
4
true
pass
null
[ "a7276d84-c4bc-4cc9-8782-e336efa98a09_1.jpg" ]
Arithmetic & Concrete Number Theory
bae0c03b-7d37-4a2e-9b82-7ebe0f9f1297
bae0c03b-7d37-4a2e-9b82-7ebe0f9f1297_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
MathVision
Combinatorics
77
null
null
2
3
4
3
true
pass
null
[ "bae0c03b-7d37-4a2e-9b82-7ebe0f9f1297_1.jpg" ]
Combinatorics & Graph Structures
48786c87-48cd-4275-9420-630075f6a2bf
48786c87-48cd-4275-9420-630075f6a2bf_1.jpg
The numbers on each pair of opposite faces on a die add up to 7 . A die is rolled without slipping around the circuit shown. At the start the top face is 3 . What number will be displayed on the top face at the end point? <image1>
[]
6
Geometry Reasoning
null
MathVision
Solid Geometry
49
null
null
2
3
4
4
true
pass
null
[ "48786c87-48cd-4275-9420-630075f6a2bf_1.jpg" ]
Solid Geometry & Volumetrics
1173374b-7f00-4b60-8bf1-28ef0aeba3b3
1173374b-7f00-4b60-8bf1-28ef0aeba3b3_1.jpg
The diagram shows two ordinary dice. What is the total number of spots on all the faces that cannot be seen in the diagram? <image1>
[]
27
Geometry Reasoning
null
MathVision
Solid Geometry
50
null
null
3
3
4
4
true
pass
null
[ "1173374b-7f00-4b60-8bf1-28ef0aeba3b3_1.jpg" ]
Solid Geometry & Volumetrics
7a08e6cc-85a0-4a73-b1ba-9201c6a99cb3
7a08e6cc-85a0-4a73-b1ba-9201c6a99cb3_1.jpg
Three dice with faces numbered 1 through 6 are stacked as shown. Seven of the eighteen faces are visible, leaving eleven faces hidden (back, bottom, between). The total number of dots NOT visible in this view is <image1>
[]
41
Geometry Reasoning
null
MathVision
Solid Geometry
76
null
null
2
3
3
4
true
pass
null
[ "7a08e6cc-85a0-4a73-b1ba-9201c6a99cb3_1.jpg" ]
Solid Geometry & Volumetrics
733e3e3b-d882-4c25-87e1-758fd16a3d75
733e3e3b-d882-4c25-87e1-758fd16a3d75_1.jpg
Is a pair of dice a solid, a liquid, or a gas?
['a gas', 'a liquid', 'a solid']
2
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
12
null
null
2
3
4
4
true
pass
null
[ "733e3e3b-d882-4c25-87e1-758fd16a3d75_1.jpg" ]
Physical Systems Reasoning
19b50313-a3b8-420f-8e4b-a3c8ae02bc81
19b50313-a3b8-420f-8e4b-a3c8ae02bc81_1.jpg
(1) First, consider just the 5 3D dice. Assume that all dice in the image are standard dice with the numbers on opposite sides adding up to 7. For the following question ignore the dice in the front and in the back and focus just on the three dice in the middle. Additionally, some splodges of paint have been split on t...
null
1638
Discrete Mathematics & Formal Logic
null
zerobench
Puzzle
764
null
null
2
3
4
4
true
pass
null
[ "19b50313-a3b8-420f-8e4b-a3c8ae02bc81_1.jpg" ]
Abstract Logic & Procedural Puzzles
6ecf41ce-e874-49c4-bdfd-cc542cc600f4
6ecf41ce-e874-49c4-bdfd-cc542cc600f4_1.jpg
Frank laid out his dominoes as shown in the picture. (Dominoes which touch must always have the same number of points). Before his brother George removed two dominoes there were 33 points altogether. How many points is the questionmark worth? <image1>
[]
4
Continuous Mathematics & Analysis
null
STELAR-topo_vision_reasoning_preference_50k
Algebra
41
null
null
2
3
4
4
true
pass
null
[ "6ecf41ce-e874-49c4-bdfd-cc542cc600f4_1.jpg" ]
Foundations of Algebra
6e9a970b-51ec-43fd-962e-49c4cbe644b5
6e9a970b-51ec-43fd-962e-49c4cbe644b5_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "6e9a970b-51ec-43fd-962e-49c4cbe644b5_1.jpg" ]
Combinatorics & Graph Structures
9cab2582-6fce-4786-b477-bad72fda417a
9cab2582-6fce-4786-b477-bad72fda417a_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "9cab2582-6fce-4786-b477-bad72fda417a_1.jpg" ]
Combinatorics & Graph Structures
7981518b-a124-4e17-9ef1-4d3c747a9092
7981518b-a124-4e17-9ef1-4d3c747a9092_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "7981518b-a124-4e17-9ef1-4d3c747a9092_1.jpg" ]
Combinatorics & Graph Structures
a0154ebd-20cf-41c4-a5f5-f7a88b160cdd
a0154ebd-20cf-41c4-a5f5-f7a88b160cdd_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "a0154ebd-20cf-41c4-a5f5-f7a88b160cdd_1.jpg" ]
Combinatorics & Graph Structures
197c0210-016d-4d5e-9f14-e02ca30a0df7
197c0210-016d-4d5e-9f14-e02ca30a0df7_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "197c0210-016d-4d5e-9f14-e02ca30a0df7_1.jpg" ]
Combinatorics & Graph Structures
0c184ffe-d083-43c8-95ec-c8a50dc4f27f
0c184ffe-d083-43c8-95ec-c8a50dc4f27f_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
3
4
true
pass
null
[ "0c184ffe-d083-43c8-95ec-c8a50dc4f27f_1.jpg" ]
Combinatorics & Graph Structures
5fd06605-5d24-4aea-ade3-08fc729f93cf
5fd06605-5d24-4aea-ade3-08fc729f93cf_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "5fd06605-5d24-4aea-ade3-08fc729f93cf_1.jpg" ]
Combinatorics & Graph Structures
f24c60ea-22d7-49f6-950f-90fd6f6964e7
f24c60ea-22d7-49f6-950f-90fd6f6964e7_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
2
4
4
true
pass
null
[ "f24c60ea-22d7-49f6-950f-90fd6f6964e7_1.jpg" ]
Combinatorics & Graph Structures
5701f970-ad9a-49c4-8495-f9e0b1c218f1
5701f970-ad9a-49c4-8495-f9e0b1c218f1_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
4
4
true
pass
null
[ "5701f970-ad9a-49c4-8495-f9e0b1c218f1_1.jpg" ]
Combinatorics & Graph Structures
7bcdb4ea-b501-4175-b41a-05129dec8c42
7bcdb4ea-b501-4175-b41a-05129dec8c42_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
3
4
true
pass
null
[ "7bcdb4ea-b501-4175-b41a-05129dec8c42_1.jpg" ]
Combinatorics & Graph Structures
344c6514-cd1d-41bb-814d-fd5bdc6805b9
344c6514-cd1d-41bb-814d-fd5bdc6805b9_1.jpg
Dominoes are said to be arranged correctly if, for each pair of adjacent dominoes, the numbers of spots on the adjacent ends are equal. Paul laid six dominoes in a line as shown in the diagram. <image1> He can make a move either by swapping the position of any two dominoes (without rotating either domino) or by rotatin...
[]
3
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Combinatorics
77
null
null
2
3
3
4
true
pass
null
[ "344c6514-cd1d-41bb-814d-fd5bdc6805b9_1.jpg" ]
Combinatorics & Graph Structures
010f8418-92ee-4f1b-8f18-010cdb7c2793
010f8418-92ee-4f1b-8f18-010cdb7c2793_1.jpg
Amy, Bert, Carl, Doris and Ernst each throw two dice. Who has got the biggest total altogether? <image1>
['Amy', 'Bert', 'Carl', 'Doris', 'Ernst']
E
Discrete Mathematics & Formal Logic
null
STELAR-topo_vision_reasoning_preference_50k
Arithmetic
18
null
null
3
3
3
4
true
pass
null
[ "010f8418-92ee-4f1b-8f18-010cdb7c2793_1.jpg" ]
Arithmetic & Concrete Number Theory
05819ef6-132c-4a7e-944b-3be40b4cef0d
05819ef6-132c-4a7e-944b-3be40b4cef0d_1.jpg
The sum of the dots on opposite sides of an ordinary die is 7. Which of the following dice could be an ordinary die? <image1>
['A', 'B', 'C', 'D', 'E']
E
Geometry Reasoning
null
STELAR-topo_vision_reasoning_preference_50k
Solid Geometry
25
null
null
2
3
3
4
true
pass
null
[ "05819ef6-132c-4a7e-944b-3be40b4cef0d_1.jpg" ]
Solid Geometry & Volumetrics
059f5621-7d4e-4436-a25c-17af0ef1ec64
059f5621-7d4e-4436-a25c-17af0ef1ec64_1.jpg
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
null
0.2549
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
186
null
null
3
2
4
4
true
pass
null
[ "059f5621-7d4e-4436-a25c-17af0ef1ec64_1.jpg" ]
Arithmetic & Concrete Number Theory
96fc26c3-6717-4d62-b55a-61f6fcf6528d
96fc26c3-6717-4d62-b55a-61f6fcf6528d_1.jpg
Tom writes down two five-digit number. He places different shapes on different digits. He places the same shape on the same digits. Find the value of first five-digit number.
null
46444
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
145
null
null
2
3
3
4
true
pass
null
[ "96fc26c3-6717-4d62-b55a-61f6fcf6528d_1.jpg" ]
Arithmetic & Concrete Number Theory
6489a881-a3ad-49ba-b984-6be9240a1ca6
6489a881-a3ad-49ba-b984-6be9240a1ca6_1.jpg
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
null
0.2549
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
186
null
null
2
3
4
4
true
pass
null
[ "6489a881-a3ad-49ba-b984-6be9240a1ca6_1.jpg" ]
Arithmetic & Concrete Number Theory
32848f38-ca5f-4990-99f2-413911d864b3
32848f38-ca5f-4990-99f2-413911d864b3_1.jpg
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
null
0.2549
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
186
null
null
2
2
3
4
true
pass
null
[ "32848f38-ca5f-4990-99f2-413911d864b3_1.jpg" ]
Arithmetic & Concrete Number Theory
3201924a-54ee-4d2c-a594-b0341418ab13
3201924a-54ee-4d2c-a594-b0341418ab13_1.jpg
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
null
0.2549
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
186
null
null
2
3
3
4
true
pass
null
[ "3201924a-54ee-4d2c-a594-b0341418ab13_1.jpg" ]
Arithmetic & Concrete Number Theory
d5375371-378c-4980-9b85-921008f67fd2
d5375371-378c-4980-9b85-921008f67fd2_1.jpg
Tom writes down two five-digit number. He places different shapes on different digits. He places the same shape on the same digits. Find the value of first five-digit number.
null
99274
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
145
null
null
3
3
4
4
true
pass
null
[ "d5375371-378c-4980-9b85-921008f67fd2_1.jpg" ]
Arithmetic & Concrete Number Theory
c95c9fc7-eb2b-4f4e-b56f-07270668af44
c95c9fc7-eb2b-4f4e-b56f-07270668af44_1.jpg
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
null
0.2353
Discrete Mathematics & Formal Logic
null
DynaMath_Sample
Arithmetic
186
null
null
3
3
4
4
true
pass
null
[ "c95c9fc7-eb2b-4f4e-b56f-07270668af44_1.jpg" ]
Arithmetic & Concrete Number Theory
2b629a93-0a96-4b70-a33f-d7f8d613a6fd
2b629a93-0a96-4b70-a33f-d7f8d613a6fd_1.jpg
Given the outer surface of a paper box on the left, which option on the right can be folded into it?
null
A
Geometry Reasoning
null
MM-IQ
3D-Geometry
21
null
null
2
2
3
4
true
pass
null
[ "2b629a93-0a96-4b70-a33f-d7f8d613a6fd_1.jpg" ]
Solid Geometry & Volumetrics
39c3d5ce-d9ca-4e9c-a82e-56f28eb30cca
39c3d5ce-d9ca-4e9c-a82e-56f28eb30cca_1.jpg
Pick out the one that is different from the four figures:
null
D
Geometry Reasoning
null
MM-IQ
3D-Geometry
11
null
null
4
2
3
4
true
pass
null
[ "39c3d5ce-d9ca-4e9c-a82e-56f28eb30cca_1.jpg" ]
Solid Geometry & Volumetrics
292c6d44-badd-49b4-a94a-809939c846a9
292c6d44-badd-49b4-a94a-809939c846a9_1.jpg
The sum of the points on the opposite faces of the cube in the figure below is 7. First, rotate the cube 3 times in the direction of B, then 1 time in the direction of A, and then 2 times in the direction of D. The number of points on the upward face at this time is (). A: 5 B: 4 C: 3 D: 2
null
D
Geometry Reasoning
null
MM-IQ
3D-Geometry
67
null
null
3
3
4
4
true
pass
null
[ "292c6d44-badd-49b4-a94a-809939c846a9_1.jpg" ]
Solid Geometry & Volumetrics
a52d2642-c359-4cb5-b7de-78f4d602a1f1
a52d2642-c359-4cb5-b7de-78f4d602a1f1_1.jpg
Match each term with its description. <image 1>
['iv; ii; vi; vii; iii; v; i; viii.', 'vi; ii; iv; vii; iii; v; i; viii.', 'iv; ii; vi; viii; iii; v; i; vii.', 'ii; i; vi; vii; iii; v; iv; viii.']
A
Socio-Economic & Contextual Mathematics
null
MMMU
Managerial Accounting
8
null
null
4
2
3
4
true
pass
null
[ "a52d2642-c359-4cb5-b7de-78f4d602a1f1_1.jpg" ]
Operational & Financial Analytics
4300cd44-71f8-4c3a-b75f-6346aa292368
4300cd44-71f8-4c3a-b75f-6346aa292368_1.jpg
U.S. Treasuries represent a significant holding in many pension portfolios. You decide to analyze the yield curve for U.S. Treasury notes. You are considering the purchase of a zero-coupon U.S. Treasury note with 4 years to maturity. On the basis of the above yield-curve analysis, calculate the price for the security ...
['$758.35', '$771.40', '$785.91']
A
Socio-Economic & Contextual Mathematics
null
MMMU
Investment
53
null
null
2
3
3
4
true
pass
null
[ "4300cd44-71f8-4c3a-b75f-6346aa292368_1.jpg" ]
Operational & Financial Analytics
bd8c3859-e72b-4f0d-82da-c9a74fa4a6b6
bd8c3859-e72b-4f0d-82da-c9a74fa4a6b6_1.jpg
Here are data on two companies. The T-bill rate is 4% and the market risk premium is 6%. <image 1> What would be the fair return for each company, according to the capital asset pricing model(CAPM)
['13%', '11%', '10%']
C
Socio-Economic & Contextual Mathematics
null
MMMU
Investment
36
null
null
2
3
4
4
true
pass
null
[ "bd8c3859-e72b-4f0d-82da-c9a74fa4a6b6_1.jpg" ]
Operational & Financial Analytics
16e12107-c97a-4bed-9ba8-7c4a8160d72a
16e12107-c97a-4bed-9ba8-7c4a8160d72a_1.jpg
Which indifference curve represents the greatest level of utility that can be achieved by the investor? <image 1>
[]
2
Socio-Economic & Contextual Mathematics
null
MMMU
Investment
18
null
null
4
2
3
4
true
pass
null
[ "16e12107-c97a-4bed-9ba8-7c4a8160d72a_1.jpg" ]
Operational & Financial Analytics
6c378338-84c5-4ff7-b758-cc01f8ab1c13
6c378338-84c5-4ff7-b758-cc01f8ab1c13_1.jpg
Match the concept on the left to its correct description. <image 1>
['V. III. VI. I. IV. II. VII.', 'VI. I. II. V. III. VII. IV.', 'IV. II. I. V. III. VI. VII.', 'IV. VII. II. I. III. V. VI.']
A
Socio-Economic & Contextual Mathematics
null
MMMU
Managerial Accounting
12
null
null
2
2
4
3
true
pass
null
[ "6c378338-84c5-4ff7-b758-cc01f8ab1c13_1.jpg" ]
Operational & Financial Analytics
c8ed7fea-cd00-4530-ba3b-24781d6cca1e
c8ed7fea-cd00-4530-ba3b-24781d6cca1e_1.jpg
On the basis of the utility formula above, which investment would you select if you were risk averse with A= 4? <image 1>
['1', '2', '3', '4']
C
Socio-Economic & Contextual Mathematics
null
MMMU
Investment
23
null
null
2
3
3
4
true
pass
null
[ "c8ed7fea-cd00-4530-ba3b-24781d6cca1e_1.jpg" ]
Operational & Financial Analytics
b991f48d-ff20-43ce-b0b1-d3206830d77a
b991f48d-ff20-43ce-b0b1-d3206830d77a_1.jpg
An excursion company is considering adding small boats to their fleet. The company has $200,000 to invest in this venture. At present there is an estimated maximum demand of 6,000 customers per season for these tours. The company does not wish to provide capacity in excess of the estimated maximum demand. The basic dat...
['4 boats of Type 1 and 1 boat of Type 2', '5 boats of Type 1 and 0 boats of Type 2', '3 boats of Type 1 and 2 boats of Type 2', '6 boats of Type 1 and 0 boats of Type 2']
B
Socio-Economic & Contextual Mathematics
null
MMMU
Operations Research
132
null
null
2
3
3
4
true
pass
null
[ "b991f48d-ff20-43ce-b0b1-d3206830d77a_1.jpg" ]
Operational & Financial Analytics
4cdb9e5b-0636-4ba0-8628-94f53d0f8958
4cdb9e5b-0636-4ba0-8628-94f53d0f8958_1.jpg
Consider the following problem: Minimize (x1 - 3)^2 + (x2 - 2)^2 subject to x1^2 - x2 - 3 $\le $ 0 x2 - 1 $\le $ 0 - x1 $\le $ 0 Give the solution. <image 1>
['(0, 0)', '(2, 2)', '(3, 3)', '(2, 1)']
D
Socio-Economic & Contextual Mathematics
null
MMMU
Operations Research
38
null
null
2
3
3
3
true
pass
null
[ "4cdb9e5b-0636-4ba0-8628-94f53d0f8958_1.jpg" ]
Operational & Financial Analytics
f955cc05-d74f-4282-8de8-143f6ec81b38
f955cc05-d74f-4282-8de8-143f6ec81b38_1.jpg
<image 1>Let R be the shaded region bounded by the graph of y = 2- In x and the line y =4-x,as shown above.an integral expression that can be used to find the volume of the solid generated when R is rotated about the line x =-1.
['$V=\\pi\\int_{0.853}^{3.841}\\left[(e^{2-y}+1)^{2}-(4-y+1)^{2}\\right]d y$', '$V=\\pi\\int_{0.853}^{3.841}\\left[(4-y+1)^{2}-(e^{2-y}+1)^{2}\\right]d y$', '$V=\\pi\\int_{0.853}^{3.841}\\left[(e^{y-2}+1)^{2}+(4-y+1)^{2}\\right]d y$']
B
Continuous Mathematics & Analysis
null
MMMU
Calculus
47
null
null
2
3
3
4
true
pass
null
[ "f955cc05-d74f-4282-8de8-143f6ec81b38_1.jpg" ]
Calculus & Advanced Analysis
af08241c-fb06-4e3d-a079-744ba36934e8
af08241c-fb06-4e3d-a079-744ba36934e8_1.jpg
Consider the optimal allocation of a scarce resource between two processes where the total amount of resource available is b (see Fig. 1). It is required to maximize the return from both processes. Thus, one has max(x)1, (x)2 f(x1) + f(x2) such that x1 + x2 = b. Use the Lagrangian Multipliers to solve. <image 1>
['x1* = x2* = (b/2), $\\lambda $* = b - 4, and for b = 4, $\\lambda $* = 0', 'x1* = 2x2*, $\\lambda $* = b + 4, and for b = 4, $\\lambda $* = 2', 'x1* = x2* = (b/4), $\\lambda $* = b - 2, and for b = 4, $\\lambda $* = 1', 'x1* = x2* = (b/3), $\\lambda $* = b - 3, and for b = 4, $\\lambda $* = 1']
A
Socio-Economic & Contextual Mathematics
null
MMMU
Operations Research
56
null
null
2
3
3
3
true
pass
null
[ "af08241c-fb06-4e3d-a079-744ba36934e8_1.jpg" ]
Operational & Financial Analytics
e459ce8b-15b9-4a24-bfb5-d3e168619e65
e459ce8b-15b9-4a24-bfb5-d3e168619e65_1.jpg
A company produces two types of mopeds. The low speed moped is produced at their New Jersey plant which can only handle 1,000 mopeds per month. The high speed moped is produced at their Maryland plant which can only handle 850 mopeds per month. The company has a sufficient supply of parts to build 1,175 low speed moped...
['(0, 0)', '(850, 0)', '(850, 384 1/3)', '(600, 800)']
D
Socio-Economic & Contextual Mathematics
null
MMMU
Operations Research
118
null
null
2
3
3
4
true
pass
null
[ "e459ce8b-15b9-4a24-bfb5-d3e168619e65_1.jpg" ]
Operational & Financial Analytics
87925bda-bd05-45b3-9ebf-c00df8c5f5fa
87925bda-bd05-45b3-9ebf-c00df8c5f5fa_1.jpg
An airplane's Mach number M is the ratio of its speed to the speed of sound. When a plane is flying at a constant altitude, then its Mach angle is given by $\mu =2\sin^{-1}\left(\frac{1}{M}\right)$. <image 1> If $\mu $ = 1.4, Find the Mach angle (to the nearest degree)
['92°', '42°', '27°', '82°']
A
Continuous Mathematics & Analysis
null
MMMU
Calculus
49
null
null
3
3
4
4
true
pass
null
[ "87925bda-bd05-45b3-9ebf-c00df8c5f5fa_1.jpg" ]
Calculus & Advanced Analysis
502b78c7-8a50-4fe5-ad2f-046c498c8434
502b78c7-8a50-4fe5-ad2f-046c498c8434_1.jpg
Consider: Minimize 2x1 - x2 Subject to: - x1 + x2 ≦ 2 2x1 + x2 ≦ 6 x1, x2 ≦ 0. Determine an improved basic feasible solution starting from the b. f. s. with basis B➙ = [a1➙, a2➙]. Identify the blocking variable? <image 1>
['x1 is the blocking variable and the new basic feasible solution is (x1, x2, x3, x4) = (0, 2, 0, 4).', 'x2 is the blocking variable and the new basic feasible solution is (x1, x2, x3, x4) = (2, 0, 4, 0).', 'x3 is the blocking variable and the new basic feasible solution is (x1, x2, x3, x4) = (2, 4, 0, 0).', 'x4 is the...
A
Socio-Economic & Contextual Mathematics
null
MMMU
Operations Research
46
null
null
2
2
4
3
true
pass
null
[ "502b78c7-8a50-4fe5-ad2f-046c498c8434_1.jpg" ]
Operational & Financial Analytics
fc427b5c-da94-4685-b46a-12352cc0d436
fc427b5c-da94-4685-b46a-12352cc0d436_1.jpg
A printed page must contain 60 cm^2 of printed material. There are to be margins of 5 cm on either side and margins of 3 cm on the top and bottom (Fig. 16-3). How long should the printed lines be in order to minimize the amount of paper used?<image 1>
['10', '9', '15', '3']
A
Continuous Mathematics & Analysis
null
MMMU
Calculus
50
null
null
2
3
3
4
true
pass
null
[ "fc427b5c-da94-4685-b46a-12352cc0d436_1.jpg" ]
Calculus & Advanced Analysis
2dc9e6e5-c37c-4367-a689-8857aede5c9f
2dc9e6e5-c37c-4367-a689-8857aede5c9f_1.jpg
Determine the value of $i_0$, $i_1$, $i_2$, $i_3$, $i_4$, $i_5$ in <image 1>.
['17A, 17A, 6A, 4A, 7A, 10A', '17A, 15A, 5A, 4A, 7A, 10A', '17A, 17A, 6A, 5A, 7A, 10A', '17A, 17A, 6A, 4A, 4A, 10A', '17A, 17A, 6A, 4A, 7A, 15A']
A
Discrete Mathematics & Formal Logic
null
MMMU
Graph Theory
13
null
null
3
3
3
4
true
pass
null
[ "2dc9e6e5-c37c-4367-a689-8857aede5c9f_1.jpg" ]
Combinatorics & Graph Structures
1029697f-e931-48b8-b247-81d6d32d36f3
1029697f-e931-48b8-b247-81d6d32d36f3_1.jpg
Which is the graph of the function $y=\sqrt{|(1+x)(1-|x|)|}$? <image1>
['A', 'B', 'C', 'D', 'E']
D
null
null
MathVision
Analytic Geometry
9
null
null
3
3
4
4
true
pass
null
[ "1029697f-e931-48b8-b247-81d6d32d36f3_1.jpg" ]
null
833381a3-1ff4-46de-aa50-756d377a11cd
833381a3-1ff4-46de-aa50-756d377a11cd_1.jpg
Which of the following graphs represents the solution set of $(x-|x|)^{2}+(y-|y|)^{2}=4$? <image1>
['A', 'B', 'C', 'D', 'E']
A
null
null
MathVision
Analytic Geometry
12
null
null
2
3
3
4
true
pass
null
[ "833381a3-1ff4-46de-aa50-756d377a11cd_1.jpg" ]
null
10cb6941-95f3-48b1-aafb-89e92de2a90f
10cb6941-95f3-48b1-aafb-89e92de2a90f_1.jpg
The rectangles $S_{1}$ and $S_{2}$ shown in the picture have the same area. Determine the ratio $x: y$. <image1>
['$1: 1$', '$3: 2$', '$4: 3$', '$7: 4$', '$8: 5$']
E
null
null
MathVision
Analytic Geometry
19
null
null
2
3
3
4
true
pass
null
[ "10cb6941-95f3-48b1-aafb-89e92de2a90f_1.jpg" ]
null
f03a32f2-4ca9-4bd9-a3cc-92d2e3cacdf0
f03a32f2-4ca9-4bd9-a3cc-92d2e3cacdf0_1.jpg
An ant walked $6 \mathrm{~m}$ every day to go from point $A$ to point $B$ in a straight line. One day Johnny put a straight cylinder of one meter high in that way. Now the ant walks on the same straight line or above it, having to go up and down the cylinder, as shown in the picture. How much does she have to walk now ...
['$8 \\mathrm{~m}$', '$9 \\mathrm{~m}$', '$6+\\pi \\mathrm{~m}$', '$12-\\pi \\mathrm{~m}$', '$10 \\mathrm{~m}$']
A
Geometry Reasoning
null
MathVision
Solid Geometry
73
null
null
3
2
4
3
true
pass
null
[ "f03a32f2-4ca9-4bd9-a3cc-92d2e3cacdf0_1.jpg" ]
Solid Geometry & Volumetrics
e70f4c36-d6d5-408f-b840-2b38599440ae
e70f4c36-d6d5-408f-b840-2b38599440ae_1.jpg
If a laser beam hits a mirror it changes its direction (see left diagram). Each mirror has mirrored sides on both sides. At which letter does the laser beam end? <image1>
['A', 'B', 'C', 'D', 'E']
B
Geometry Reasoning
null
MathVision
Transformation Geometry
31
null
null
3
3
4
4
true
pass
null
[ "e70f4c36-d6d5-408f-b840-2b38599440ae_1.jpg" ]
Kinematics, Transformations & Projections
57acc5d6-4640-4e97-aed6-1068034ed251
57acc5d6-4640-4e97-aed6-1068034ed251_1.jpg
In the diagram you see the rectangular garden of Green's family. It has an area of $30 \mathrm{~m}^{2}$ and is divided into three rectangular parts. One side of the part where flowers are growing has a length of $2 \mathrm{~m}$. Its area is $10 \mathrm{~m}^{2}$. The part with strawberries has one side of length $3 \mat...
['$4 \\mathrm{~m}^{2}$', '$6 \\mathrm{~m}^{2}$', '$8 \\mathrm{~m}^{2}$', '$10 \\mathrm{~m}^{2}$', '$12 \\mathrm{~m}^{2}$']
C
Geometry Reasoning
null
MathVision
Metric Geometry - Area
68
null
null
3
3
4
4
true
pass
null
[ "57acc5d6-4640-4e97-aed6-1068034ed251_1.jpg" ]
Plane Geometry & Metric Analysis
de1d887c-a1f7-47c6-a6ff-c01d3d553eac
de1d887c-a1f7-47c6-a6ff-c01d3d553eac_1.jpg
Four ribbons $\mathrm{M}, \mathrm{N}, \mathrm{P}$ and $\mathrm{Q}$ are wrapped around a box. <image1> In which order were they wrapped around the box?
['M, N, Q, P', 'N, M, P, Q', 'N, Q, M, P', 'N, M, Q, P', '$Q, N, M, P$']
D
Geometry Reasoning
null
MathVision
Descriptive Geometry
22
null
null
4
3
3
4
true
pass
null
[ "de1d887c-a1f7-47c6-a6ff-c01d3d553eac_1.jpg" ]
Kinematics, Transformations & Projections
26f4d5d7-4731-41f5-b59d-824b2ddc4aff
26f4d5d7-4731-41f5-b59d-824b2ddc4aff_1.jpg
Five students carry out a run. Their results are recorded in the graph opposite, according to the time taken (Zeit) and the distance covered (Strecke). Who had the greatest average speed? <image1>
['Anja', 'Bernd', 'Chris', 'Doris', 'Ernst']
D
null
null
MathVision
Analytic Geometry
32
null
null
2
3
3
4
true
pass
null
[ "26f4d5d7-4731-41f5-b59d-824b2ddc4aff_1.jpg" ]
null
7bcb2897-ba0c-4e4a-8d8b-feab31f80716
7bcb2897-ba0c-4e4a-8d8b-feab31f80716_1.jpg
In a drawing we can see a three quarter circle with centre M and an indicated orientation arrow. This three-quarter circle is first turned $90^{\circ}$ anti-clockwise about M and then reflected in the x - axis. Which is the resulting picture? <image1> <image2>
['A', 'B', 'C', 'D', 'E']
D
null
null
MathVision
Analytic Geometry
43
null
null
4
3
3
4
true
pass
null
[ "7bcb2897-ba0c-4e4a-8d8b-feab31f80716_1.jpg" ]
null
51071993-260e-4bae-a092-6474eff55949
51071993-260e-4bae-a092-6474eff55949_1.jpg
The line $P Q$ is divided into six parts by the points $V, W, X, Y$ and $Z$. Squares are drawn on $P V, V W, W X, X Y, Y Z$ and $Z Q$ as shown in the diagram. The length of line $P Q$ is $24 \mathrm{~cm}$. What is the length of the path from $P$ to $Q$ indicated by the arrows? <image1>
['$48 \\mathrm{~cm}$', '$60 \\mathrm{~cm}$', '$66 \\mathrm{~cm}$', '$72 \\mathrm{~cm}$', '$96 \\mathrm{~cm}$']
D
Geometry Reasoning
null
MathVision
Metric Geometry - Length
65
null
null
3
3
4
4
true
pass
null
[ "51071993-260e-4bae-a092-6474eff55949_1.jpg" ]
Plane Geometry & Metric Analysis
6632f688-52b7-4a94-a99d-ec98829b6ed4
6632f688-52b7-4a94-a99d-ec98829b6ed4_1.jpg
The trapezium shown in the diagram is rotated anti-clockwise by $90^{\circ}$ around the origin $O$, and then reflected in the $x$-axis. Which of the following shows the end result of these transformations? <image1> <image2>
['A', 'B', 'C', 'D', 'E']
A
null
null
MathVision
Analytic Geometry
34
null
null
4
2
3
4
true
pass
null
[ "6632f688-52b7-4a94-a99d-ec98829b6ed4_1.jpg" ]
null
87f4dd10-49d1-490d-8a2c-d430a5966dcc
87f4dd10-49d1-490d-8a2c-d430a5966dcc_1.jpg
A unit cube is cut twice to form three triangular prisms, two of which are congruent, as shown in Figure 1. The cube is then cut in the same manner along the dashed lines shown in Figure 2. This creates nine pieces. What is the volume of the piece that contains vertex $ W$? <image1>
['$\\frac{1}{12}$', '$\\frac{1}{9}$', '$\\frac{1}{8}$', '$\\frac{1}{6}$', '$\\frac{1}{4}$']
A
Geometry Reasoning
null
MathVision
Solid Geometry
55
null
null
2
3
3
4
true
pass
null
[ "87f4dd10-49d1-490d-8a2c-d430a5966dcc_1.jpg" ]
Solid Geometry & Volumetrics
42dcb542-3f89-47e1-a22c-addd29721740
42dcb542-3f89-47e1-a22c-addd29721740_1.jpg
The vertical axis indicates the number of employees, but the scale was accidentally omitted from this graph. What percent of the employees at the Gauss company have worked there for $5$ years or more? <image1>
['$9\\%$', '$23\\frac{1}{3}\\%$', '$30\\%$', '$42\\frac{6}{7}\\%$', '$50\\%$']
C
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
35
null
null
3
2
3
4
true
pass
null
[ "42dcb542-3f89-47e1-a22c-addd29721740_1.jpg" ]
Probability, Statistics & Analytics
8181c1de-f0df-4f89-add1-e3a8a00f1810
8181c1de-f0df-4f89-add1-e3a8a00f1810_1.jpg
Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops. He shops at the mall for an hour. Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through cit...
['A', 'B', 'C', 'D', 'E']
B
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
91
null
null
3
3
4
4
true
pass
null
[ "8181c1de-f0df-4f89-add1-e3a8a00f1810_1.jpg" ]
Probability, Statistics & Analytics
5ad41385-861b-4f0a-8493-d1a0cb583ed3
5ad41385-861b-4f0a-8493-d1a0cb583ed3_1.jpg
Car M traveled at a constant speed for a given time. This is shown by the dashed line. Car N traveled at twice the speed for the same distance. If Car N's speed and time are shown as solid line, which graph illustrates this? <image1>
['A', 'B', 'C', 'D', 'E']
D
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
45
null
null
2
3
3
4
true
pass
null
[ "5ad41385-861b-4f0a-8493-d1a0cb583ed3_1.jpg" ]
Probability, Statistics & Analytics
858bee9c-550b-49ee-a05b-aef3f3436ff4
858bee9c-550b-49ee-a05b-aef3f3436ff4_1.jpg
A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it? ...
['$\\text{A}$', '$\\text{B}$', '$\\text{C}$', '$\\text{D}$', '$\\text{E}$']
A
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
60
null
null
2
3
3
4
true
pass
null
[ "858bee9c-550b-49ee-a05b-aef3f3436ff4_1.jpg" ]
Probability, Statistics & Analytics
447e38a7-e40d-4545-8d3b-a4f83e2751c6
447e38a7-e40d-4545-8d3b-a4f83e2751c6_1.jpg
Amanda Reckonwith draws five circles with radii 1, 2, 3, 4 and 5. Then for each circle she plots the point (C; A), where C is its circumference and A is its area. Which of the following could be her graph?
['<image1>', '<image2>', '<image3>', '<image4>', '<image5>']
A
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
41
null
null
2
3
3
4
true
pass
null
[ "447e38a7-e40d-4545-8d3b-a4f83e2751c6_1.jpg" ]
Probability, Statistics & Analytics
85ced6f8-0b8a-4339-9883-deb2180760a7
85ced6f8-0b8a-4339-9883-deb2180760a7_1.jpg
A tortoise challenges a hare to a race. The hare eagerly agrees and quickly runs ahead, leaving the slow-moving tortoise behind. Confident that he will win, the hare stops to take a nap. Meanwhile, the tortoise walks at a slow steady pace for the entire race. The hare awakes and runs to the finish line, only to find th...
['A', 'B', 'C', 'D', 'E']
B
Applied Sciences & Grounded Reasoning
null
MathVision
Statistics
90
null
null
2
3
4
4
true
pass
null
[ "85ced6f8-0b8a-4339-9883-deb2180760a7_1.jpg" ]
Probability, Statistics & Analytics
2d5190fb-587d-42a2-a3ee-f796f82f1792
2d5190fb-587d-42a2-a3ee-f796f82f1792_1.jpg
When a spring does work on an object, we cannot find the work by simply multiplying the spring force by the object's displacement. The reason is that there is no one value for the force-it changes. However, we can split the displacement up into an infinite number of tiny parts and then approximate the force in each as ...
null
1.2
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
393
null
null
4
2
4
4
true
pass
null
[ "2d5190fb-587d-42a2-a3ee-f796f82f1792_1.jpg" ]
Probability, Statistics & Analytics
9fa7d654-782c-4aaf-a7c8-4c52b2f7b383
9fa7d654-782c-4aaf-a7c8-4c52b2f7b383_1.jpg
The diagrams below show two pure samples of gas in identical closed, rigid containers. Each colored ball represents one gas particle. Both samples have the same number of particles. Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
sample A
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
368
null
null
4
2
4
3
true
pass
null
[ "9fa7d654-782c-4aaf-a7c8-4c52b2f7b383_1.jpg" ]
Probability, Statistics & Analytics
71c8b46b-53df-48b1-80c2-cfef0a428831
71c8b46b-53df-48b1-80c2-cfef0a428831_1.jpg
What is the sum of accuracies of the algorithm liver for all the datasets?
null
24
Applied Sciences & Grounded Reasoning
null
MathVista
Arithmetic and Statistical Reasoning
28
null
null
4
2
4
4
true
pass
null
[ "71c8b46b-53df-48b1-80c2-cfef0a428831_1.jpg" ]
Probability, Statistics & Analytics
98c833a5-477b-4dd8-9d59-ba62743c84f2
98c833a5-477b-4dd8-9d59-ba62743c84f2_1.jpg
An image has the gray level PDF $p_r(r)$ shown in Fig. Q1a. One wants to do histogram specification SO that the processed image will have the specified $p_z(z)$ shown in Fig. Q1b. Can we use intensity mapping function $T: z=1-r$ to achieve the goal?
['True', 'False']
False
Continuous Mathematics & Analysis
null
MathVista
Geometry and Algebraic Reasoning
220
null
null
2
3
3
4
true
pass
null
[ "98c833a5-477b-4dd8-9d59-ba62743c84f2_1.jpg" ]
Foundations of Algebra
6e9af27c-5cc9-4def-a3f4-1f82a6c69b2f
6e9af27c-5cc9-4def-a3f4-1f82a6c69b2f_1.jpg
What is the lowest accuracy reported in the whole chart?
null
1
Applied Sciences & Grounded Reasoning
null
MathVista
Statistical Reasoning
10
null
null
3
2
4
4
true
pass
null
[ "6e9af27c-5cc9-4def-a3f4-1f82a6c69b2f_1.jpg" ]
Probability, Statistics & Analytics
a479ed9a-9a12-4fd0-851c-62b4f4798383
a479ed9a-9a12-4fd0-851c-62b4f4798383_1.jpg
The diagram below is a model of two solutions. Each pink ball represents one particle of solute. Which solution has a higher concentration of pink particles?
['neither; their concentrations are the same', 'Solution B', 'Solution A']
Solution B
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
260
null
null
2
3
3
4
true
pass
null
[ "a479ed9a-9a12-4fd0-851c-62b4f4798383_1.jpg" ]
Probability, Statistics & Analytics
20da8d80-4700-47bd-b53b-03ad98179014
20da8d80-4700-47bd-b53b-03ad98179014_1.jpg
Consider the infinitely long chain of resistors shown below. What is the resistance between terminals a and b if R=1?
null
0.73
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
80
null
null
4
3
4
4
true
pass
null
[ "20da8d80-4700-47bd-b53b-03ad98179014_1.jpg" ]
Probability, Statistics & Analytics
f830f2aa-d5cf-4a72-acad-d505a5f8c938
f830f2aa-d5cf-4a72-acad-d505a5f8c938_1.jpg
How many algorithms have accuracy lower than 8 in at least one dataset?
null
3
Applied Sciences & Grounded Reasoning
null
MathVista
Statistical Reasoning
13
null
null
2
2
3
4
true
pass
null
[ "f830f2aa-d5cf-4a72-acad-d505a5f8c938_1.jpg" ]
Probability, Statistics & Analytics
5bad6b29-b5cc-47ee-8739-3acad2a77c91
5bad6b29-b5cc-47ee-8739-3acad2a77c91_1.jpg
A perceptual audio codec is used to compress an audio signal. The codec groups every 4 barks into a subband and then allocates bits to different subbands according to the result of a spectrum analysis based on a psychoacoustic model. All samples in the same subband are quantized with the same quantizer, and the bit res...
null
7
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
118
null
null
4
2
3
4
true
pass
null
[ "5bad6b29-b5cc-47ee-8739-3acad2a77c91_1.jpg" ]
Probability, Statistics & Analytics
9af76750-6cbb-44ff-a9d4-9e24e54db93e
9af76750-6cbb-44ff-a9d4-9e24e54db93e_1.jpg
What is the accuracy of the algorithm with highest accuracy?
null
8
Applied Sciences & Grounded Reasoning
null
MathVista
Statistical Reasoning
10
null
null
3
2
3
4
true
pass
null
[ "9af76750-6cbb-44ff-a9d4-9e24e54db93e_1.jpg" ]
Probability, Statistics & Analytics
511d725d-69b4-43ae-bd1e-0f4e7a9c5335
511d725d-69b4-43ae-bd1e-0f4e7a9c5335_1.jpg
In Figure, suppose that Barbara's velocity relative to Alex is a constant $v_{B A}=52 \mathrm{~km} / \mathrm{h}$ and car $P$ is moving in the negative direction of the $x$ axis. (a) If Alex measures a constant $v_{P A}=-78 \mathrm{~km} / \mathrm{h}$ for car $P$, what velocity $v_{P B}$ will Barbara measure?
null
-130
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
204
null
null
4
2
4
4
true
pass
null
[ "511d725d-69b4-43ae-bd1e-0f4e7a9c5335_1.jpg" ]
Probability, Statistics & Analytics
8bc1cfec-5eaf-482b-a0e6-a7c9d75cf419
8bc1cfec-5eaf-482b-a0e6-a7c9d75cf419_1.jpg
What is the lowest accuracy reported in the whole chart?
null
1
Applied Sciences & Grounded Reasoning
null
MathVista
Statistical Reasoning
10
null
null
4
3
3
4
true
pass
null
[ "8bc1cfec-5eaf-482b-a0e6-a7c9d75cf419_1.jpg" ]
Probability, Statistics & Analytics
397438bb-46b0-4a0f-afae-51cf97187391
397438bb-46b0-4a0f-afae-51cf97187391_1.jpg
You can see how organisms are interconnected from the diagram given. What will be the effect if all the Killer whales are removed?
['The population of tuna will increase', 'Mouse will decrease in number', 'The phytoplankton will decrease', 'The grasshopper will die']
The population of tuna will increase
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
828
null
null
4
2
4
4
true
pass
null
[ "397438bb-46b0-4a0f-afae-51cf97187391_1.jpg" ]
Probability, Statistics & Analytics
f2132369-b63a-4980-bdb7-f0d9563de15a
f2132369-b63a-4980-bdb7-f0d9563de15a_1.jpg
Part of an ecosystem is shown in this diagram. Imagine the algae and floating plants are prevented from growing. How will that most likely affect this ecosystem?
['The number of ducks will increase', 'The number of minnows will increase', 'There will be no effect on this ecosystem', 'The number of aquatic crustaceans will decrease']
The number of aquatic crustaceans will decrease
Applied Sciences & Grounded Reasoning
null
MathVista
Scientific Reasoning
1,269
null
null
3
2
3
4
true
pass
null
[ "f2132369-b63a-4980-bdb7-f0d9563de15a_1.jpg" ]
Probability, Statistics & Analytics
7d6443d6-78fc-49a5-a426-24ee4a42f468
7d6443d6-78fc-49a5-a426-24ee4a42f468_1.jpg
What is the highest accuracy reported in the whole chart?
null
8
Applied Sciences & Grounded Reasoning
null
MathVista
Statistical Reasoning
10
null
null
3
3
3
4
true
pass
null
[ "7d6443d6-78fc-49a5-a426-24ee4a42f468_1.jpg" ]
Probability, Statistics & Analytics
eecc3e62-9765-4a47-8a75-690ebf0364c1
eecc3e62-9765-4a47-8a75-690ebf0364c1_1.jpg
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 9$.
null
116
null
null
geometry3k
Geometry
45
null
null
3
3
4
4
true
pass
null
[ "eecc3e62-9765-4a47-8a75-690ebf0364c1_1.jpg" ]
null
7a62c31a-a663-4379-a7cb-8a2d71b95655
7a62c31a-a663-4379-a7cb-8a2d71b95655_1.jpg
<image>In the figure, line $l$ is parallel to line $m$. Line $n$ intersects both $l$ and $m$. Which of the following lists includes all of the angles that are supplementary to $ ∠1 $?
null
angles 2,3, 6, and 7
null
null
geometry3k
Geometry
680
null
null
2
3
3
4
true
pass
null
[ "7a62c31a-a663-4379-a7cb-8a2d71b95655_1.jpg" ]
null
6f0c2be4-dba3-457c-bfee-509478fa89ff
6f0c2be4-dba3-457c-bfee-509478fa89ff_1.jpg
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
null
\frac { 1 } { 2 }
null
null
geometry3k
Geometry
374
null
null
3
2
3
4
true
pass
null
[ "6f0c2be4-dba3-457c-bfee-509478fa89ff_1.jpg" ]
null
15489d0d-1422-4f5e-bc6e-8810f449af12
15489d0d-1422-4f5e-bc6e-8810f449af12_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['sample B', 'sample A', 'neither; the samples have the same temperature']
1
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
4
2
3
4
true
pass
null
[ "15489d0d-1422-4f5e-bc6e-8810f449af12_1.jpg" ]
Physical Systems Reasoning
c59440ad-911e-4146-bcb4-6c8f021b9d9a
c59440ad-911e-4146-bcb4-6c8f021b9d9a_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
2
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
3
2
3
4
true
pass
null
[ "c59440ad-911e-4146-bcb4-6c8f021b9d9a_1.jpg" ]
Physical Systems Reasoning
5b7612ae-9172-48fa-a0ba-1741eb15c5a3
5b7612ae-9172-48fa-a0ba-1741eb15c5a3_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
2
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
2
3
3
4
true
pass
null
[ "5b7612ae-9172-48fa-a0ba-1741eb15c5a3_1.jpg" ]
Physical Systems Reasoning
1021969d-ead5-45e5-88ab-e9966eddc815
1021969d-ead5-45e5-88ab-e9966eddc815_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
2
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
2
3
3
4
true
pass
null
[ "1021969d-ead5-45e5-88ab-e9966eddc815_1.jpg" ]
Physical Systems Reasoning
90b1b91c-6368-40e5-9e69-aa5e6db1c351
90b1b91c-6368-40e5-9e69-aa5e6db1c351_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample B', 'sample A']
1
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
2
3
3
4
true
pass
null
[ "90b1b91c-6368-40e5-9e69-aa5e6db1c351_1.jpg" ]
Physical Systems Reasoning
fa3d9ff5-09db-4b4c-bfc6-2c2979ada5c7
fa3d9ff5-09db-4b4c-bfc6-2c2979ada5c7_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
2
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
2
3
3
4
true
pass
null
[ "fa3d9ff5-09db-4b4c-bfc6-2c2979ada5c7_1.jpg" ]
Physical Systems Reasoning
7665c5c3-d895-4109-a0a5-a51e32e60e10
7665c5c3-d895-4109-a0a5-a51e32e60e10_1.jpg
Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature?
['neither; the samples have the same temperature', 'sample A', 'sample B']
1
Applied Sciences & Grounded Reasoning
null
ScienceQA
Physics
17
null
null
2
3
3
4
true
pass
null
[ "7665c5c3-d895-4109-a0a5-a51e32e60e10_1.jpg" ]
Physical Systems Reasoning
2eaa354e-e3df-4fe9-8f87-6baa03f7e61d
2eaa354e-e3df-4fe9-8f87-6baa03f7e61d_1.jpg
Let $Z$ be the set of integers. $f: Z \rightarrow Z$ is defined by $f(n) = n - 10$ for $n > 100$ and $f(n) = f(f(n+11))$ for $n = 100$. Find the set of possible values of $f$.
null
['We show that $f(n) = 91$ for $n \\le 100$. For $n = 100, 99, \\dots, 90$, we have $f(n) = f(f(n+11)) = f(n+11-10) = f(n+1)$. But $f(101) = 91$, so $f(n) = 91$ for $n = 100, 99, \\dots, 90$. Now for $n = 89, 88, \\dots, 1, 0, -1, \\dots$ we use induction. We have $f(n) = f(f(n+11)) = f(91)$ which, by induction, is 91....
Continuous Mathematics & Analysis
null
MathNet
Algebraic Expressions
15,249
null
null
2
2
4
4
true
pass
null
[ "2eaa354e-e3df-4fe9-8f87-6baa03f7e61d_1.jpg" ]
Foundations of Algebra
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