VL-Cogito
Collection
3 items
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geomverse_6377
|
If the arc length of the ABC sector is 20.56, the adjacent angles BED and FEB are complementary, the adjacent angles BDE and BDG are complementary and the angle CBA is vertical to EBD, compute the length of the BC side of the ABC sector. Assume $\pi=3.14$. Round computations to 2 decimal places.
<image>
|
14.9
|
geomverse
|
|
multimath_300k_21378
|
The problem statement is as follows:
"Positive integers are arranged according to a certain rule in a triangular number array as shown in the figure. According to this arrangement rule, the 3rd number from the left in the 20th row of the number array is __(___)
<image>_
Options:
(A) 574
(B) 576
(C) 577
(D) 580"
|
577
|
multimath_300k
|
|
GEOQA_PLUS_25150
|
<image>
A set of triangular rulers is placed as shown in the figure, then the degree of ∠1 is ( ).
A. 45°
B. 60°
C. 65°
D. 75°
|
D
|
GEOQA_PLUS
|
|
AI2D_4816
|
<image>
Which of these is a tertiary consumer
|
hunter
|
AI2D
|
|
raven_26498
|
<image>
Choose the figure that would logically complete the sequence.
|
A
|
raven
|
|
dvqa(cauldron,llava_format)_5373
|
<image> How many groups of bars contain at least one bar with value smaller than 9?
Answer the question using a single word or phrase.
|
two
|
R1-Onevision/dvqa(cauldron,llava_format)
|
|
GEOQA_PLUS_15649
|
As shown in the figure, there are two points A and B on the outer edge of the angle measuring instrument, with readings of 70° and 40° respectively, then ∠1 ( )
A. 15°
B. 30°
C. 40°
D. 70°
<image>
|
A
|
GEOQA_PLUS
|
|
MathV360K_241948
|
<image> What is the percentage of the pie chart that is Orange Red, and how does it compare to the percentage that is Red?
|
Orange Red is 40%, Red is 60%
|
MathV360K
|
|
geometry3k_212
|
<image>
Find the area of the shaded sector. Round to the nearest tenth.
|
46.5
|
geometry3k
|
|
multimath_300k_271656
|
When the graph of a function is symmetric with respect to the y-axis, the function is called an even function. Among the following four functions: ① \(y=2x\); ② \(y=-3x-1\); ③ <image>; ④ \(y=x^{2}+1\), how many of them are even functions?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
|
1
|
multimath_300k
|
|
geomverse_9062
|
<image>
If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the length of the height of the equilateral triangle part of the ABCDE shape is 7, the area of the FBA sector is 39.25, the area of the BGHI parallelogram is 108 and the angle GBI is vertical to FBA, compute the perimeter of the ABCDE shape. Assume $\pi=3.14$. Round computations to 2 decimal places.
|
59.12
|
geomverse
|
|
multimath_300k_212504
|
<image>In order to promote environmental protection knowledge and enhance environmental awareness, a university randomly selected 30 students to participate in an environmental protection knowledge test, with scores (on a ten-point scale) as shown in the figure. Suppose the median of the scores is \(m\), the mode is \(n\), and the mean is \( \overset{ .}{x} \). Then \( (__ ) \)
Options:
(A) \(m=n= \overset{ .}{x}\)
(B) \(m=n < \overset{ .}{x}\)
(C) \(m < n < \overset{ .}{x}\)
(D) \(n < m < \overset{ .}{x}\)
|
D
|
multimath_300k
|
|
multimath_300k_251550
|
<image>A university conducted a statistical analysis of the test scores from a self-selective admission level test of 1000 students, and obtained the sample frequency distribution histogram as shown in the figure. Now, it is stipulated that a score of no less than 70 points is considered passing. The number of passing students is ___ .
|
550
|
multimath_300k
|
|
multimath_300k_211277
|
<image>The image shows a stem-and-leaf plot based on the height (in cm) of 10 high school freshmen. The numbers on the left represent the hundred and ten digits of the students' heights, while the numbers on the right represent the unit digits. From the image, the median height of these 10 students is ( ).
Options:
(A) 161cm
(B) 162cm
(C) 163cm
(D) 164cm
|
162
|
multimath_300k
|
|
MathV360K_98732
|
<image> What percentage of the honors graduates received Magna cum laude?
|
22.81%
|
MathV360K
|
|
geomverse_2574
|
<image>
If the length of the AB side is 16 and the length of the BC side is 21, compute the degree of the BCA angle. Round computations to 2 decimal places.
|
49.46
|
geomverse
|
|
MathV360K_300905
|
<image> Which artery is located before the popliteal artery?
|
T
|
MathV360K
|
|
intergps_217
|
In quadrilateral A B C D, A C = 188, B D = 214, m \angle B P C = 70, and P is the midpoint of A C and B D. Find the perimeter of quadrilateral A B C D.
<image>
|
2
|
intergps
|
|
GEOQA_PLUS_45897
|
As shown in the figure, AB and AC are chords of circle O, and the tangent line passing through point B of circle O intersects the extension of AC at point D. Point E is the midpoint of arc AC, and AE is connected. If ∠EAB = 65°, the degree of ∠D is ( )
A. 25°
B. 50°
C. 65°
D. 70°
<image>
|
B
|
GEOQA_PLUS
|
|
MathV360K_171326
|
<image> What is the average (mean) score achieved?
|
7.98
|
MathV360K
|
|
geomverse_6732
|
<image>
If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the length of the AB side is 24 and the length of the height of the equilateral triangle part of the ABCDE shape is 6, compute the perimeter of the ABCDE shape. Round computations to 2 decimal places.
|
68.88
|
geomverse
|
|
GEOQA_PLUS_29009
|
If ∠2 = 40°, the degree of ∠1 is ()
A. 60°
B. 50°
C. 40°
D. 30°
<image>
|
B
|
GEOQA_PLUS
|
|
geomverse_1254
|
<image>
If the area of the ABC sector is 76.93, the area of the BDEF parallelogram is 108, the area of the BGHD rectangle is 78 and the angle CBA is vertical to DBF, compute the length of the BC side of the ABC sector. Assume $\pi=3.14$. Round computations to 2 decimal places.
|
14.83
|
geomverse
|
|
OKVQA_2403
|
The cage around the suet helps ward off what creatures?
<image>
|
squirrels
|
OKVQA
|
|
ChartQA_19870
|
<image>
How many metric tons of sugar beet were produced in the previous year?
|
273.71
|
ChartQA
|
|
multimath_300k_181050
|
<image> The graph of the function \( y = ax + b \) is shown in the figure. Then the solution of the equation \( ax + b = 0 \) is ____. The inequality 0 ____ holds.
|
0≤x<3
|
multimath_300k
|
|
raven_5697
|
Which figure should complete the logical sequence?
<image>
|
A
|
raven
|
|
multimath_300k_145840
|
The general term formula for the sequence {an} is an = 4n - 1. Let bn = <image>. Then the sum of the first n terms of the sequence {bn} is (_).
A. n^2
B. 2n^2 + 4n
C. n^2 + n
D. n^2 + 2n
Options:
|
正确
|
multimath_300k
|
|
raven_17000
|
<image>
Which figure would finalize the logical sequence and replace the question mark?
|
H
|
raven
|
|
GEOQA_PLUS_37356
|
<image>
As shown in the figure, line C intersects lines A and B at points A and B respectively, with ∠1 = 120°. If A is parallel to B, then the degree of ∠2 is ( )
A. 60°
B. 120°
C. 30°
D. 150°
|
B
|
GEOQA_PLUS
|
|
multimath_300k_105971
|
Based on the figure, given that AB ∥ CD and ∠1 = 56°, what is the measure of ∠2 (__ )<image>
Options:
(A) 34°
(B) 56°
(C) 65°
(D) 124°
|
56°
|
multimath_300k
|
|
ChartQA_3968
|
<image>
What's the most popular response?
|
Somewhat more
|
ChartQA
|
|
MathV360K_302943
|
<image> A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between these two years?
|
16
|
MathV360K
|
|
geometry3k_620
|
<image>
In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{C B F}$
|
225
|
geometry3k
|
|
OKVQA_1272
|
<image>
What kind of dog is that?
|
doberman
|
OKVQA
|
|
MMIQ_1623
|
Divide the following six figures into two categories, so that each category of figures has its own common characteristics or patterns. The correct classification is:
A: ①②⑥, ③④⑤
B: ①②⑤, ③④⑥
C: ①②③, ④⑤⑥
D: ①③⑤, ②④⑥
<image>
|
B
|
MMIQ
|
|
GEOQA_PLUS_25252
|
<image>
As shown in the figure, in quadrilateral ABCD, AB = BD, point E is on BD, and CE = CB. If ∠ADB = 65°, then ∠DCE equals ( )
A. 20°
B. 15°
C. 30°
D. 35°
|
B
|
GEOQA_PLUS
|
|
multimath_300k_17307
|
<image>As shown in the picture, a ball moves from point A to point B. The functional relationship between the speed v (meters/second) and the time t (seconds) is v = 2t. If the speed of the ball when it reaches point B is 6 meters/second, the time it takes for the ball to travel from point A to point B is (__)
Options:
(A) 1 second
(B) 2 seconds
(C) 3 seconds
(D) 4 seconds
|
3秒
|
multimath_300k
|
|
llava_cot_100k_natural_scene_8378
|
<image> Why is the woman in the blue top laying on the sand?
|
to sunbathe
|
R1-Onevision/llava_cot_100k_natural_scene
|
|
ChartQA_21982
|
<image>
What was the inflation rate in Chad in 2020?
|
3.48
|
ChartQA
|
|
dvqa(cauldron,llava_format)_3407
|
<image> How many groups of bars contain at least one bar with value greater than 7?
Answer the question using a single word or phrase.
|
zero
|
R1-Onevision/dvqa(cauldron,llava_format)
|
|
MMIQ_1790
|
<image>
Choose the most appropriate option from the given four options to present a certain regularity:
|
A
|
MMIQ
|
|
ArxivQA_2987
|
In the Downstream Task Adaptation phase, what role does the highlighted 'h*' play?
A. It denotes the hyperparameters optimized during pre-training.
B. It represents the best performing model selected after the pre-training phase.
C. It signifies the loss function used during the downstream task training.
D. It indicates the feature extraction process before label assignment.
<image>
|
B
|
ArxivQA
|
|
MathV360K_304414
|
<image> Which part of the brain is responsible for regulating motor movements?
|
U
|
MathV360K
|
|
MathV360K_315396
|
<image> Is this less than Medium Mint?
|
yes
|
MathV360K
|
|
multimath_300k_40912
|
1. If the value of <image> is zero, then the value of x is (________)A 7 or -1______ B -7 or 1_____ C7_______ D_ -1_
Options:
|
C 7
|
multimath_300k
|
|
raven_31446
|
<image>
Which figure would finalize the logical sequence and replace the question mark?
|
H
|
raven
|
|
multimath_300k_40635
|
The value of the fraction <image> does not exist, so the value of x is (___).
Options:
(A) x=3
(B) x=-3
(C) x=2
(D) x=-2
|
-2
|
multimath_300k
|
|
multimath_300k_219040
|
As shown in the <image>, which of the following judgments is incorrect (__)
Options:
(A) ∠1 and ∠2 are consecutive interior angles
(B) ∠3 and ∠4 are alternate interior angles
(C) ∠5 and ∠6 are consecutive interior angles
(D) ∠5 and ∠8 are corresponding angles
|
C
|
multimath_300k
|
|
raven_24165
|
Which figure should complete the logical sequence?
<image>
|
E
|
raven
|
|
ArxivQA_44509
|
What does the radius 'r' represent in the context of this Mohr's circle diagram?
The maximum principal stress
The radius of the minor circle
The radius of the major circle
The difference between the major and minor principal stresses
<image>
|
C
|
ArxivQA
|
|
raven_22976
|
<image>
Which figure should complete the logical sequence?
|
B
|
raven
|
|
raven_10608
|
<image>
Choose the figure that would logically complete the sequence.
|
B
|
raven
|
|
AI2D_3248
|
<image>
From the above food web diagram, if the population of birds increases then population of spider
|
decreases
|
AI2D
|
|
GEOQA_PLUS_24443
|
As shown in the figure, in the trapezoid, AB‖CD, E is the midpoint of BC, EF⊥AD to point F, AD=4, EF=5, the area of the trapezoid is ( )
A. 40
B. 30
C. 20
D. 10
<image>
|
C
|
GEOQA_PLUS
|
|
scienceqa_new_10458
|
<image>
Which of the following could Eli's test show?
A. if the weather station would work when the temperature was 50°C
B. how well the weather station would work when it was windy
|
A
|
scienceqa_new
|
|
ChartQA_20739
|
How many Filipinos have been infected with coronavirus COVID-19?
<image>
|
121
|
ChartQA
|
|
AI2D_3177
|
What type of fault is Label B?
<image>
|
thrust
|
AI2D
|
|
multimath_300k_68942
|
<image> Using cubes with an edge length of 3 centimeters to form the following shape, what is its volume in cubic centimeters? What is its surface area in square centimeters?
|
306
|
multimath_300k
|
|
MathV360K_228130
|
<image> What is the color of the object that is on the left side of the cyan tandem bike, on the right side of the rubber biplane, and in front of the golden car?
|
yellow
|
MathV360K
|
|
AI2D_3482
|
<image>
Which receives its energy from the producer?
|
Herbavore
|
AI2D
|
|
AI2D_6530
|
<image>
Which part of the plant in the diagram is responsible for photosynthesis?
|
C
|
AI2D
|
|
MathV360K_70957
|
<image> What type of eclipse is depicted in the image?
|
Solar eclipse
|
MathV360K
|
|
AI2D_976
|
<image>
The lion is what?
|
predator
|
AI2D
|
|
AI2D_917
|
According to the food web, what would happen if the gypsy moth caterpillar population was to decrease?
<image>
|
The fiery searcher beetle and carpenter ant population would decline.
|
AI2D
|
|
MathV360K_109029
|
<image> Are there any pedestrians visible on the sidewalk?
|
No
|
MathV360K
|
|
multimath_300k_59048
|
<image>(2016 Weifang Simulation) A batch of workpieces with dimensions between (40 and 100 mm) is divided into six segments, i.e., [40, 50), [50, 60), ..., [90, 100). The resulting frequency distribution histogram is shown in the figure. The value of the real number a in the figure is ____.
|
0.03
|
multimath_300k
|
|
multimath_300k_244783
|
Given the graph of the function \( y = f(x) \) as shown in the image, the number of zeros and the number that can be solved using the bisection method are respectively ( )
<image>
Options:
(A) 4, 4
(B) 3, 4
(C) 5, 4
(D) 4, 3
|
4,3
|
multimath_300k
|
|
intergps_968
|
<image>
Find x.
|
34
|
intergps
|
|
raven_26184
|
<image>
Choose the figure that would logically complete the sequence.
|
B
|
raven
|
|
multimath_300k_49633
|
As shown in the figure, the side length of the small square is 1 cm. Please calculate the area of the large square.
<image>
|
25
|
multimath_300k
|
|
raven_31660
|
<image>
Which figure should complete the logical sequence?
|
E
|
raven
|
|
MathV360K_172104
|
<image> What is the average number of peanuts per bag of trail mix in the 'Stem' category?
|
6.5
|
MathV360K
|
|
AI2D_1927
|
which diagram denotes spring equinox sun above the equator ?
<image>
|
E
|
AI2D
|
|
GEOQA_PLUS_25254
|
<image>
As shown in the figure, to measure the height of a tree, Xiaogang used a 2-meter-long bamboo pole as a measuring tool. He moved the bamboo pole so that the shadow of the pole and the top of the tree fell exactly on the same point on the ground. At this time, the bamboo pole was 6 meters from the point and 15 meters from the tree. The height of the tree is ( )
A. 5m
B. 7m
C. 7.5m
D. 21m
|
A
|
GEOQA_PLUS
|
|
llava_cot_100k_natural_scene_9538
|
<image> What is the baby sheep doing?
|
drinking
|
R1-Onevision/llava_cot_100k_natural_scene
|
|
multimath_300k_201718
|
The reciprocal of <image> is ……………………………………………………………( _____)
A. -3________B. - ______C. 3________D.
Options:
|
3
|
multimath_300k
|
|
raven_24087
|
Choose the figure that would logically complete the sequence.
<image>
|
G
|
raven
|
|
multimath_300k_199791
|
The population consists of 300 individuals numbered 001, 002, 003, ..., 299, 300. Using the following random number table to select 5 individuals, the selection method is to start with the 3rd, 4th, and 5th column digits of the first row of the random number table, selecting three digits in sequence from left to right. The number of the 5th individual selected is (___)
<image>
Options:
(A) 080
(B) 263
(C) 140
(D) 280
|
280
|
multimath_300k
|
|
GEOQA_PLUS_35126
|
<image>
As shown in the figure, ∠b = 20°, ∠c = 30°. If MP and Qn are perpendicular bisectors of AB and AC, respectively, then ∠Paq equals ( )
A. 50°
B. 75°
C. 80°
D. 105°
|
C
|
GEOQA_PLUS
|
|
raven_38281
|
Which figure should complete the logical sequence?
<image>
|
E
|
raven
|
|
MathV360K_19114
|
<image> Are there an equal number of metal aeroplanes that are on the left side of the tiny shiny aeroplane and purple matte sedans that are in front of the gray scooter?
|
False
|
MathV360K
|
|
multimath_300k_38641
|
As shown in the figure, AB ∥ CD, AD and BC intersect at point O, ∠A=40°, ∠AOB=75°, then ∠C=___ degrees.
<image>
|
65
|
multimath_300k
|
|
scienceqa_new_471
|
Select the organism in the same species as the Burmese python.
A. Python reticulatus
B. Cervus canadensis
C. Python bivittatus
<image>
|
C
|
scienceqa_new
|
|
MMIQ_149
|
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity:
<image>
|
D
|
MMIQ
|
|
MathV360K_255660
|
<image> How many vehicles are there in total, and how many of them are buses?
|
Total vehicles: 8, Buses: 5
|
MathV360K
|
|
geomverse_971
|
If the arc length of the blue sector is 17.99, the angle $\alpha$ is vertical to $\gamma$ and the angle $\omega$ is vertical to $\beta$, compute the degree of the angle marked with question mark. Assume $\pi=3.14$. Round computations to 2 decimal places.
<image>
|
75.5
|
geomverse
|
|
geometry3k_1634
|
<image>
Find x
|
4
|
geometry3k
|
|
MMIQ_825
|
Divide the following six figures into two categories, so that each category of figures has its own common characteristics or patterns. The correct classification is:
A: ①④⑤, ②③⑥
B: ①④⑥, ②③⑤
C: ①③⑤, ②④⑥
D: ①②③, ④⑤⑥
<image>
|
A
|
MMIQ
|
|
raven_38064
|
<image>
Which figure should complete the logical sequence?
|
B
|
raven
|
|
geomverse_2828
|
<image>
If the arc length of the ABC sector is 12.85, the diagonal of the BDEC rectangle is 21, the degree of the DBF angle is 70 and the arc length of the FBD sector is 15.42, compute the degree of the CBA angle. Assume $\pi=3.14$. Round computations to 2 decimal places.
|
43.2
|
geomverse
|
|
dvqa(cauldron,llava_format)_7505
|
<image> How many algorithms have accuracy higher than 2 in at least one dataset?
Answer the question using a single word or phrase.
|
Two
|
R1-Onevision/dvqa(cauldron,llava_format)
|
|
geomverse_3927
|
If the yellow shape is a rectangle where an equilateral triangle has been removed from one side of it and the area of the yellow shape is 90, compute the area of the blue parallelogram. Round computations to 2 decimal places.
<image>
|
142.49
|
geomverse
|
|
multimath_300k_103706
|
As shown in the <image>, it is known that BC intersects with DE at point O. Given the following three statements: ①∠B=∠E, ②AB∥DE, ③BC∥EF, please use two of these statements as conditions and the other as a conclusion to write a proposition that you believe is correct, and explain your reasoning.
|
∠B=∠E
|
multimath_300k
|
|
multimath_300k_220459
|
Given the sequence \(\left\{ a_n \right\}\) satisfies: \(a_1 = 1, a_2 = \dfrac{1}{2}\), and \(a_{n+2} = \dfrac{a_{n+1}^2}{a_n + a_{n+1}} \) \((n \in \mathbb{N^*})\), the sum of all the numbers in the 9th row in the figure is _______.<image>
|
1022
|
multimath_300k
|
|
MathV360K_97386
|
<image> What is the total number of fish in all the tanks combined?
|
190
|
MathV360K
|
|
multimath_300k_56572
|
As shown in the figure, in the rectangle ABCD, AB = 4, BC = 6, and the height on side BC is AE = 2. What is the length of the height AF on side DC? <image>_____
|
3
|
multimath_300k
|
|
GEOQA_PLUS_28675
|
As shown in the figure, in the right triangle ABC, ∠ABC = 90°, AB = BC = 2, a circle with BC as its diameter intersects AC at point D, the area of the shaded part in the figure is ( ).
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1
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GEOQA_PLUS
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ArxivQA_59727
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In which scenario does the graph indicate the most prolonged emission of gravitational waves post-merger?
A. Type I: Prompt collapse
B. Type II: HMNS
C. Type IIIa: SMNS
D. Type IIIb: MNS
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C
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ArxivQA
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geomverse_388
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<image>
If the perimeter of the orange parallelogram is 54 and the circumference of the blue semi-circle is 53.97, compute the area of the cyan square. Assume $\pi=3.14$. Round computations to 2 decimal places.
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36
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geomverse
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