id
int64 0
49
| question
stringlengths 65
468
| reference_answer
stringlengths 1
305
| reference_reasoning
stringclasses 0
values | generated_answer
stringlengths 1
147
| generated_reasoning
stringlengths 0
551
| image
imagewidth (px) 281
2.52k
|
|---|---|---|---|---|---|---|
0
|
How many street lights are in the image?
Options:
- A. 0
- B. 9
- C. 11
- D. 10
- E. 8
- F. 12
|
(D)
| null |
C. 11
|
There is one street light visible in the image.
| |
1
|
How many bowls are in the image?
Options:
- A. 3
- B. 4
- C. 1
- D. 0
- E. 2
|
(E)
| null |
E. 2
|
There are two bowls visible in the image, one containing a sandwich and the other containing a sausage and tomato.
| |
2
|
Considering the relative positions of the cabinet and the flowers in the image provided, where is the cabinet located with respect to the flowers?
Options:
- A. above
- B. below
|
(B)
| null |
B.
|
The cabinet is located below the flowers in the image.
| |
3
|
How many persons are in the image?
Options:
- A. 4
- B. 2
- C. 0
- D. 3
- E. 1
|
(B)
| null |
B.
|
There are two people visible in the image, one standing and one sitting on a bench.
| |
4
|
How many walls are in the image?
Options:
- A. 4
- B. 3
- C. 1
- D. 0
- E. 2
|
(E)
| null |
A
|
The image shows a room with a window, which indicates that there is at least one wall visible outside the window. There are no walls visible inside the room, and the room is enclosed by a roof and walls, suggesting a total of four walls.
| |
5
|
Which object is closer to the camera taking this photo, the car (highlighted by a red box) or the pedestrian (highlighted by a blue box)?
Options:
- A. car
- B. pedestrian
|
(B)
| null |
B. pedestrian
|
The pedestrian (highlighted by a blue box) is closer to the camera than the car (highlighted by a red box).
| |
6
|
Considering the relative positions of the potted plant (annotated by the red box) and the dining table in the image provided, where is the potted plant (annotated by the red box) located with respect to the dining table?
Options:
- A. above
- B. below
|
(A)
| null |
B. below
|
The potted plant annotated by the red box is placed on the dining table, which is evident from its position relative to the table's surface.
| |
7
|
Estimate the real-world distances between objects in this image. Which object is closer to the books (highlighted by a red box), the television (highlighted by a blue box) or the table (highlighted by a green box)?
Options:
- A. television
- B. table
|
(B)
| null |
B. table
|
The books are highlighted by a red box, and the television is highlighted by a blue box. The table is highlighted by a green box. The table is closer to the books than the television.
| |
8
|
How many roads are in the image?
Options:
- A. 3
- B. 2
- C. 1
- D. 0
|
(C)
| null |
D. 0
|
There are no roads visible in the image.
| |
9
|
Estimate the real-world distances between objects in this image. Which object is closer to the bus (highlighted by a red box), the pedestrian (highlighted by a blue box) or the truck (highlighted by a green box)?
Options:
- A. pedestrian
- B. truck
|
(B)
| null |
B. truck
|
The truck is highlighted by a green box and is positioned directly behind the bus, while the pedestrian is highlighted by a blue box and is further away, closer to the background. The bus is the closest object to the truck.
| |
10
|
Considering Region 1, does Medium Complexity or Low Complexity contribute more to the overall LDI?
|
Region 1: Medium=18, Low=12. Medium contributes more. Answer: Medium Complexity
| null |
Medium Complexity
|
Region 1 has a higher LDI value for Medium Complexity compared to Low Complexity.
| |
11
|
What is the approximate ratio of the peak density values of 'Swimmer Endurance Levels' to 'Boxing Punch Impact Power'?
|
Divide the peak density of Swimmer (~0.175) by Boxing (~0.125). Answer: Approximate ratio is 1.4.
| null |
3.5
|
The peak density value for 'Swimmer Endurance Levels' is approximately 0.175, and the peak density value for 'Boxing Punch Impact Power' is approximately 0.05. The ratio of these two values is approximately 0.175 / 0.05 = 3.5.
| |
12
|
What is the maximum y-axis value shown in the radar chart in the third subplot?
|
The maximum y-axis value shown in the radar chart in the third subplot is 900.
| null |
0.8
|
The maximum y-axis value in the radar chart is 0.8, as indicated by the highest point on the chart.
| |
13
|
How many evaluation stages are represented on the x-axis in the subplot titled 'Error Analysis of Conceptual Mastery Levels'?
|
There are 5 evaluation stages represented on the x-axis in the subplot titled 'Error Analysis of Conceptual Mastery Levels'.
| null |
The x-axis in the subplot titled 'Error Analysis of Conceptual Mastery Levels' represents 4 evaluation stages.
|
Failed to parse 'Final Answer'; using raw output as answer.
| |
14
|
How many labeled epochs are present on the x-axis, and what are their names?
|
There are 4 labeled epochs on the x-axis: 'Ancient Algorithms', 'Medieval Methods', 'Renaissance Techniques', and 'Modern Simulations'.
| null |
8
|
The x-axis of the chart lists labeled epochs such as "No Noise Peak Observation", "Noise Peak Observation", "Grainy Improvement", "Eternal Trend", "Historical Epochs of Computational Methods", "Ancient Algorithms", "Middle Ages", "Modern Algorithms", and "Quantum Algorithms".
| |
15
|
Which elements on the chart are annotated, and what do the annotations represent?
|
All 10 bubbles on the chart are annotated. Each annotation represents the label of the corresponding category, such as 'Product A', 'Segment A', etc.
| null |
Campaigns and segments.
|
The chart includes annotations for each campaign and segment, with each element labeled with a unique identifier.
| |
16
|
What is the second-largest metric recorded in subplot (f) and which category does it belong to during Stage 5?
|
In subplot (f), at Stage 5 the three plotted values are Awareness Level (~30), Emotional Connectivity (~28), and Negative Thoughts (~10). Comparing these shows Awareness Level is highest, Emotional Connectivity is the next largest, and Negative Thoughts is the smallest. Answer: 28, Emotional Connectivity
| null |
The second-largest metric recorded in subplot (f) during Stage 5 is "Emotional Energy Flow" and it belongs to the "Emotional Energy Flow" category.
|
Failed to parse 'Final Answer'; using raw output as answer.
| |
17
|
In the fourth subplot (vertical bar chart), what is the value of the horizontal dashed red threshold line, and what does it represent?
|
The value of the horizontal dashed red threshold line is 20, and it represents the 'Minimum Effective Threshold.'
| null |
The value of the horizontal dashed red threshold line is 100 mg, and it represents the upper limit of the normal range for the measured value.
|
Failed to parse 'Final Answer'; using raw output as answer.
| |
18
|
In Subplot (c), which biological factor has the highest average value across all six months?
|
Calculate the average of values for each row and compare them: Prey Population > Predation Pressure > Food Availability. Answer: Predation Pressure
| null |
Biological Population Dynamics
|
The orange area in Subplot (c) represents the Biological Population Dynamics, which has the highest average value across all six months.
| |
19
|
How many labeled points are within the highlighted 'Critical Thermal Stress Zone' range, and which group(s) do they belong to?
|
Within the range 1.9-2.1, labeled points are 'System B2', 'System B5', and one from Group C. Answer: Three labeled points; Groups B and C.
| null |
2
|
The highlighted 'Critical Thermal Stress Zone' is defined by the range of thermal stress index values from 250 to 300. Within this range, there are two labeled points: 'Optimized Performance' and 'Point 2'. These points are within the 'Critical Thermal Stress Zone'.
| |
20
|
What is the maximum y-axis value in the bubble chart (subplot 3)?
|
The maximum y-axis value in the bubble chart is 1500.
| null |
35
| ||
21
|
In subplot (f), at what Service Speed Index (SSI) and Patient Outcomes Index (POI) does the efficiency level peak?
|
Peak efficiency occurs near SSI = 140 and POI = 90 from the heatmap center. Answer: SSI = 140, POI = 90.
| null |
0.9 and 0.9
|
The subplot (f) shows a heat map with Service Speed Index (SSI) on the x-axis and Patient Outcomes Index (POI) on the y-axis. The peak efficiency level is indicated by the darkest color, which is located at the intersection of the SSI and POI values of 0.9 and 0.9, respectively.
| |
22
|
In the first subplot, what is the range of the performance score on the x-axis, and at what intervals are the ticks spaced?
|
In the first subplot, the range of the performance score on the x-axis is from 50 to 100, and the ticks are spaced at intervals of 10.
| null |
0 to 100, 20 intervals
|
The x-axis of the first subplot is labeled "Performance Score" and the values range from 0 to 100, with ticks at intervals of 20.
| |
23
|
What is the purpose of the zoomed-in inset, and how many data points are highlighted within it?
|
The zoomed-in inset emphasizes the dynamics of data points within a specific range of 'Time (in seconds)' between 10 and 14 and 'Energy Output (in Joules)' between 450 and 800. It highlights 3 data points.
| null |
4 data points
|
The zoomed-in inset is labeled "Zoomed-in inset" and contains a legend with categories such as "Performance Categories" and "Performance Metrics." It also shows a scatter plot with data points representing different metrics over time.
| |
24
|
How many unique labels are annotated in the bubble chart (subplot 2)?
|
There are 10 unique labels annotated in the bubble chart.
| null |
10
|
The bubble chart (subplot 2) contains multiple labeled circles, each representing a different environmental factor influencing ecosystem health. The labels are distinct and not overlapping, indicating a unique label for each factor.
| |
25
|
Consider the dark square in an array of unit squares, part of which is shown. The first ring of squares around this center square contains $ 8$ unit squares. The second ring contains $ 16$ unit squares.
<image1>
If we continue this process, the number of unit squares in the $ 100^\text{th}$ ring is
Options:
- A. $396$
- B. $404$
- C. $800$
- D. $10,\!000$
- E. $10,\!404$
|
C
| null |
E
|
The pattern of the number of unit squares in each ring is increasing by 8 each time, starting from 8 in the first ring. This forms an arithmetic sequence where the first term \(a_1 = 8\) and the common difference \(d = 8\). The formula for the \(n\)th term of an arithmetic sequence is \(a_n = a_1 + (n - 1)d\). For the 100th ring, \(n = 100\).
| |
26
|
A river starts at point $A$. As it flows the river splits into two. One branch takes $\frac{1}{3}$ of the water and the second takes the rest. Later the second branch splits into two, one taking $\frac{3}{4}$ of the branch's water, the other the rest. The map below shows the situation. What part of the original water flows at the point $B$?
<image1>
Options:
- A. $\frac{1}{4}$
- B. $\frac{2}{9}$
- C. $\frac{1}{2}$
- D. $\frac{1}{6}$
- E. Cannot be determined
|
D
| null |
B
|
The river splits into two branches at point A, with one taking $\frac{1}{3}$ of the water and the other taking the rest. Later, the second branch splits into two, with one taking $\frac{3}{4}$ of the branch's water and the other taking the rest. The question asks for the part of the original water that flows at point B.
| |
27
|
Figures $I$, $II$, and $III$ are squares. The perimeter of $I$ is $12$ and the perimeter of $II$ is $24$. The perimeter of $III$ is
<image1>
|
36
| null |
36
|
The perimeter of a square is calculated as 4 times the length of one of its sides. Given that the perimeter of figure I is 12, the length of one side of figure I is 12/4 = 3. Similarly, the perimeter of figure II is 24, so the length of one side of figure II is 24/4 = 6. The perimeter of figure III is the sum of the perimeters of figures I and II, which is 12 + 24 = 36.
| |
28
|
There are $5$ yellow pegs, $4$ red pegs, $3$ green pegs, $2$ blue pegs, and $1$ orange peg on a triangular peg board. In how many ways can the pegs be placed so that no (horizontal) row or (vertical) column contains two pegs of the same color?
<image1>
Options:
- A. $0$
- B. $1$
- C. $5!\cdot4!\cdot3!\cdot2!\cdot1!$
- D. $\frac{15!}{5!\cdot4!\cdot3!\cdot2!\cdot1!}$
- E. $15!$
|
B
| null |
D
|
The problem requires placing pegs on a triangular peg board such that no row or column contains two pegs of the same color. The number of ways to arrange the pegs is equivalent to the number of permutations of the pegs, which is calculated by the factorial of the total number of pegs divided by the factorial of the number of pegs of each color.
| |
29
|
Each of the nine paths in a park is $100 \mathrm{~m}$ long. Ann wants to go from $X$ to $Y$ without going along any path more than once. What is the length of the longest route she can choose? <image1>
Options:
- A. $900 \mathrm{~m}$
- B. $800 \mathrm{~m}$
- C. $700 \mathrm{~m}$
- D. $600 \mathrm{~m}$
- E. $500 \mathrm{~m}$
|
C
| null |
A
|
The longest route from X to Y involves traversing all nine paths without repeating any path. Since each path is 100 meters long, the total length of the longest route is 9 * 100 meters.
| |
30
|
In the picture, three strips of the same horizontal width $a$ are marked 1,2,3. These strips connect the two parallel lines. Which strip has the biggest area?
<image1>
Options:
- A. All three strips have the same area
- B. Strip 1
- C. Strip 2
- D. Strip 3
- E. Impossible to answer without knowing $a$
|
A
| null |
A. All three strips have the same area
|
The strips are of the same horizontal width $a$ and are connected to two parallel lines. The strips are of equal length, and the area of a rectangle is calculated as length times width. Since all strips have the same width $a$, the area of each strip is the same regardless of their lengths.
| |
31
|
Which number should be written in place of the question mark?
<image1>
|
60
| null |
60
|
The numbers decrease by 10 each step, starting from 90 and ending at 30.
| |
32
|
An $n$-pyramid is defined to be a stack of $n$ layers of balls, with each layer forming a triangular array. The layers of a 3-pyramid are shown in the diagram.
An 8-pyramid is now formed where all the balls on the outside of the 8 -pyramid are black (including the base layer) and the balls on the inside are all white. How many layers are there in the white pyramid?
<image1>
|
4
| null |
4
|
The diagram shows a 3-pyramid with 3 layers, and the question asks for the number of layers in an 8-pyramid where all outside balls are black and inside balls are white.
| |
33
|
The board beside is formed by little white and dark squares. After a ninety-degree turn, how can this board appear?
<image1>
<image2>
Options:
- A. A
- B. B
- C. C
- D. D
- E. E
|
D
| null |
B
|
The board is initially composed of white and dark squares arranged in a specific pattern. After a ninety-degree turn, the squares will be oriented differently, and the new arrangement will be one of the options provided.
| |
34
|
The distance from the top of the can on the floor to the top of the bottle on the table is $150 \mathrm{~cm}$. The distance from the top of the bottle on the floor to the top of the can on the table is $110 \mathrm{~cm}$. What is the height of the table?
<image1>
Options:
- A. $110 \mathrm{~cm}$
- B. $120 \mathrm{~cm}$
- C. $130 \mathrm{~cm}$
- D. $140 \mathrm{~cm}$
- E. $150 \mathrm{~cm}$
|
C
| null |
C
|
The distance from the top of the can on the floor to the top of the bottle on the table is 150 cm, and the distance from the top of the bottle on the floor to the top of the can on the table is 110 cm. The height of the table is the difference between these two distances.
| |
35
|
In right triangle $ABC$, $M$ and $N$ are midpoints of legs $\overline{AB}$ and $\overline{BC}$, respectively. Leg $\overline{AB}$ is 6 units long, and leg $\overline{BC}$ is 8 units long. How many square units are in the area of $\triangle APC$? <image1>
|
8
| null |
24
|
In a right triangle, the area of a triangle formed by the hypotenuse and a median to the hypotenuse is half the area of the original triangle. Since $M$ and $N$ are midpoints of legs $\overline{AB}$ and $\overline{BC}$, respectively, $\triangle APC$ is half the area of $\triangle ABC$.
| |
36
|
The numbers on the faces of this cube are consecutive whole numbers. The sums of the two numbers on each of the three pairs of opposite faces are equal. The sum of the six numbers on this cube is
<image1>
|
81
| null |
71
|
The numbers on the faces of the cube are consecutive whole numbers, and the sums of the two numbers on each of the three pairs of opposite faces are equal. The numbers on the faces are 11, 12, 13, 14, 15, and 16. The sum of these numbers is 11 + 12 + 13 + 14 + 15 + 16 = 71.
| |
37
|
Rectangle $ABCD$ has $AB=5$ and $BC=4$. Point $E$ lies on $\overline{AB}$ so that $EB=1$, point $G$ lies on $\overline{BC}$ so that $CG=1$. and point $F$ lies on $\overline{CD}$ so that $DF=2$. Segments $\overline{AG}$ and $\overline{AC}$ intersect $\overline{EF}$ at $Q$ and $P$, respectively. What is the value of $\frac{PQ}{EF}$?
<image1>
Options:
- A. $\frac{\sqrt{13}}{16}$
- B. $\frac{\sqrt{2}}{13}$
- C. $\frac{9}{82}$
- D. $\frac{10}{91}$
- E. $\frac{1}{9}$
|
D
| null |
C
|
The problem involves a rectangle with given side lengths and points on its sides. The goal is to find the ratio of segments formed by the intersection of diagonals and a line segment within the rectangle. The key visual evidence is the rectangle's dimensions and the specific points on its sides.
| |
38
|
In an arcade game, the "monster" is the shaded sector of a circle of radius $ 1$ cm, as shown in the figure. The missing piece (the mouth) has central angle $ 60^{\circ}$. What is the perimeter of the monster in cm?
<image1>
Options:
- A. $\pi + 2$
- B. $2\pi$
- C. $\frac{5}{3} \pi$
- D. $\frac{5}{6} \pi + 2$
- E. $\frac{5}{3} \pi + 2$
|
E
| null |
E.
|
The perimeter of the monster includes the arc length of the shaded sector and the two radii. The arc length of a sector with a central angle of 60° in a circle of radius 1 cm is given by the formula \( \frac{\theta}{360} \times 2\pi r \), where \( \theta \) is the central angle in degrees and \( r \) is the radius. Substituting the given values, the arc length is \( \frac{60}{360} \times 2\pi \times 1 = \frac{1}{6} \times 2\pi = \frac{\pi}{3} \). The perimeter is then the sum of the arc length and the two radii, which is \( \frac{\pi}{3} + 2 \).
| |
39
|
A gray square with an area of $36 \mathrm{~cm}^{2}$ and a black square with an area of $25 \mathrm{~cm}^{2}$ are superimposed, as shown beside. What is the perimeter of the overlapping region, represented by the white quadrilateral, which has a vertex on the side of the gray square?
<image1>
Options:
- A. It is not determined.
- B. $11 \mathrm{~cm}$
- C. $16 \mathrm{~cm}$
- D. $18 \mathrm{~cm}$
- E. $20 \mathrm{~cm}$
|
B
| null |
A
|
The gray square has an area of 36 cm², so its side length is √36 = 6 cm. The black square has an area of 25 cm², so its side length is √25 = 5 cm. The overlapping region is a white quadrilateral with a vertex on the side of the gray square, and its side length is 2 cm. The perimeter of the overlapping region is 2 * (2 + 5) = 14 cm.
| |
40
|
Is the car ahead of us driving away from us or towards us?
A. Away from us.
B. Towards us.
Please answer directly with only the letter of the correct option and nothing else.
|
B
| null |
A.
|
The car is positioned further away from the viewer, indicating it is driving away.
| |
41
|
How many vehicles are there in the image?
Please answer directly with a single word or number.
|
3
| null |
Three
|
There are three vehicles visible in the image.
| |
42
|
Are the vehicles facing left?
Please answer directly with a single word or number.
|
Yes
| null |
Yes
|
The vehicles are positioned with their fronts facing left.
| |
43
|
How many plastic bags are here?
A. There are three plastic bags here.
B. There are four plastic bags here.
C. There are two plastic bags here.
Please answer directly with only the letter of the correct option and nothing else.
|
C
| null |
C
|
<one short sentence that identifies the key visual or chart/mathematical evidence>
| |
44
|
How many black dials are on this device?
A. There are 5 black dials on this device.
B. There are 4 black dials on this device.
C. There are 2 black dials on this device.
Please answer directly with only the letter of the correct option and nothing else.
|
C
| null |
C.
|
The device has two black dials, one for volume and one for input source.
| |
45
|
What is the speed limit?
Please answer directly with a single word or number.
|
35
| null |
40
|
The speed limit is not visible in the image.
| |
46
|
Is it legal to park in the parking spot ahead of us for the next 2 hours?
Please answer directly with a single word or number.
|
Yes
| null |
No
|
The sign indicates a 2-hour time limit for parking.
| |
47
|
What color is the relevant set of traffic lights to this lane?
Please answer directly with a single word or number.
|
Red
| null |
Green
|
The traffic lights are green.
| |
48
|
How many cars are moving?
A. 2
B. 1
C. 0
Please answer directly with only the letter of the correct option and nothing else.
|
C
| null |
C
|
There are no visible moving cars in the image.
| |
49
|
How many pedestrians in this image?
Please answer directly with a single word or number.
|
1
| null |
0
|
There are no pedestrians visible in the image.
|
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