videoID stringlengths 36 36 | question_id int64 0 419 | category stringclasses 10
values | question stringlengths 19 867 | options listlengths 5 5 | answer stringclasses 5
values | steps stringlengths 204 5.09k | length stringclasses 3
values |
|---|---|---|---|---|---|---|---|
33273208-85b8-4c76-8663-1fd7408002cc | 303 | Puzzle | A cube is formed by folding the given 2D net. Which of the following 3D views correctly represents the folded cube? | [
"A. A",
"B. B",
"C. C",
"D. D",
"E. None of the above."
] | C | {"1": "To solve the problem of determining which 3D view correctly represents the folded cube from a given 2D net, we first need to understand how the faces of the net are arranged and how they will fold into a cube.", "2": "The video discusses that in cube folding problems, adjacent edges in the net will connect when ... | long |
26397054-b8b8-4019-bfee-a7e9a32370cd | 14 | Geometry Area | What is the area shaded in blue? | [
"A. 16π",
"B. 12",
"C. 14",
"D. 16",
"E. 12π"
] | D | {"1": "Draw EF connecting the centers B and E of the quarter-circle arcs.", "2": "Since quarter-circles at B and E have the same radius, region AFE is congruent to region FDC.", "3": "Hence the shaded region AFCE can be mapped onto ECDF, so its area equals the area of ECDF.", "4": "ECDF is a rectangle with EC = 4 and C... | short |
42042ab5-896e-4aeb-a0d8-d8290e81c40e | 278 | Puzzle | Move 2 matchsticks to create the biggest possible number. Its allowed to rotate matchsticks board as well? | [
"A. 91151",
"B. 15118",
"C. 95771",
"D. 908",
"E. 81151"
] | E | {"1": "Start with the original configuration displaying the numbers 5, 0, and 8 using matchsticks.", "2": "Remove the bottom and top horizontal matchsticks from the '0'. Now the digit '0' is converted to '1'.", "3": "Use that matchsticks to create '1' to the leftmost side, resulting 1,5,1,1,8.", "4": "Rotate the matchs... | medium |
e293cefb-7f22-41f0-ad3a-f8ca7ae611ac | 262 | Chart | How does Austria’s public health spending compare to its private health spending? | [
"A. 3.2",
"B. 2.9",
"C. 2.0",
"D. 1.8",
"E. 3.5"
] | B | {"1": "The video explores health spending as a share of GDP across OECD countries, highlighting how the U.S. differs in both public and private spending. It questions the assumption that private healthcare is more efficient than public healthcare.", "2": "To answer this question, we focus on the chart shown at timestam... | long |
3201bdb9-2fd3-4a3e-9225-360a085bfe6b | 290 | Arithmetic | Based on the assumptions and constraints in the video, which of the following options gives the most productive weekly schedule in terms of total productive hours? | [
"A. Work 15 hours, Study 45 hours",
"B. Work 20 hours, Study 40 hours",
"C. Work 12 hours, Study 48 hours",
"D. Work 10 hours, Study 50 hours",
"E. There is insufficient information to solve the problem"
] | B | {"1": "List the constraints: w + s ≤ 60; 10 ≤ w ≤ 40; s + 2w ≤ 80; s ≥ 0, w ≥ 0.", "2": "The productivity equation is: p = w + 0.8s.", "3": "Check each option against the constraints and calculate p if valid. Option 1: w=20, s=40 → w+s=60, s+2w=80 (Valid), p=20+0.8×40=20+32=52. Option 2: w=10, s=50 → w+s=60, s+2w=70 (... | long |
07f5c41b-0ea4-42e0-8fa1-94b9bab63e2a | 417 | Puzzle | Can you tell which way the bus is moving? | [
"A. Right",
"B. The bus is not moving",
"C. Left",
"D. nan",
"E. Not enough information to determine"
] | C | {"1": "The question asks which way the bus is moving.", "2": "To determine the direction, we need to consider the position of the bus doors. Bus doors are typically located on the right side of the bus.", "3": "In the given video, the doors are not visible. Hence, it implies that the right side of the bus is facing awa... | short |
f8deb459-7e55-4ded-b12a-48b2fe725fa9 | 77 | Geometry Area | What is the area of the rectangle shaded in blue? | [
"A. 11 m²",
"B. 22 m²",
"C. 15 m²",
"D. 16 m²",
"E. 18 m²"
] | C | {"1": "Let the width of the second rectangle be x.", "2": "Then the first rectangles width is 7 - x, and the third rectangles width is 8 - x.", "3": "All three rectangles share the same height y.", "4": "The first rectangles area is (7 - x)·y = 20.", "5": "The third rectangles area is (8 - x)·y = 25.", "6": "The second... | short |
49fab4fb-eabd-44c3-820f-a406ddf9f4ae | 325 | Counting | In the last example shown in the video, the structure is made up of identical cubes. Based on the examples shown earlier on how to solve this task, count how many individual cubes make up the entire structure? | [
"A. 11",
"B. 10",
"C. 12",
"D. 14",
"E. 13"
] | C | {"1": "To solve the problem of counting the cubes in the structure, we start by identifying the layers of the structure. The topmost layer has only one cube.", "2": "On the second layer, there are three visible cubes. These include one cubee that is directly supporting the top cube.", "3": "For the bottom layer, we cou... | long |
7d02e734-81e9-4e22-9ab8-6b8d76eae8d9 | 394 | Arithmetic | Based on the lecture, complete the simplification the next expression? | [
"A. n³",
"B. √n (n/e)ⁿ",
"C. 2ⁿ / √n",
"D. n!",
"E. 2ⁿ"
] | C | {"1": "The video is from an MIT lecture where the instructor is solving a set of problems involving asymptotic analysis. Around the 14-minute mark, the instructor focuses on a specific function involving a binomial coefficient and begins the detailed process of estimating its growth rate using mathematical tools.", "2"... | long |
b3c764a7-4dcd-470c-948a-ee4a2aad136d | 64 | Geometry Area | What is the area shaded in red? | [
"A. 18π - 27√3",
"B. 18π - 18√3",
"C. 36π - 27√3",
"D. 18π - 9√3",
"E. 36π - 54√3"
] | E | {"1": "First focus on the top petal of the flower shape, which is the intersection of two circles of radius 6 centered at P and Q, with its apex at S.", "2": "In triangle PSO, PS = OS = 6 (both radii of circle O) and SO = 6, so △PSO is equilateral.", "3": "Half the petals area equals the area of the 60° sector of radiu... | medium |
5d395d75-6c2b-400d-9692-2743cce41974 | 419 | Puzzle | How many holes the t-shirt in the given video have? | [
"A. 4",
"B. 2",
"C. 10",
"D. 8",
"E. 6"
] | D | {"1": "Identify the base openings of a typical t-shirt: the neckline, the two sleeves, and the bottom hem.", "2": "Count these base openings: neckline (1) + sleeves (2) + bottom (1) = 4 holes so far.", "3": "Notice the additional holes (rips) in the middle of the shirt as shown in the image.", "4": "Count the four midd... | short |
df56fd54-9203-4187-9b57-061f1fdbe9a9 | 100 | Counting | Count the total number of triangles for the example that also contains horizontal lines? | [
"A. 53",
"B. 60",
"C. 40",
"D. 75",
"E. 66"
] | B | {"1": "Observe that the big triangle has four horizontal lines, which create four smaller (large) triangles each sharing the same apex and having a base divided into 5 equal parts.", "2": "Recall that a triangle whose base is divided into n parts contains 1 + 2 + … + n = n(n+1)/2 total triangles inside it.", "3": "Here... | long |
61944b75-f799-42b0-a501-1bd4343f6c59 | 162 | Statistics | If the highest mark is removed, how many students scored above the new mean? | [
"A. 6",
"B. 10",
"C. 9",
"D. 8",
"E. 7"
] | B | {"1": "The original list of ordered samples is: 15, 20, 25, 31, 34, 34, 35, 35, 36, 36, 36, 38, 38, 39, 43.", "2": "The original sum of the marks for the class is 495.", "3": "The highest mark in the class is 43. If this mark is removed, the new sum of the marks becomes 495 - 43 = 452.", "4": "There are originally 15 s... | medium |
5664757b-fc0a-48e2-b51b-53b5ff4b5e35 | 311 | Puzzle | In the final example of the video, a sheet is folded and a hole is punched. Which of the following options shows the correct unfolded result? | [
"A. A",
"B. B",
"C. C",
"D. D",
"E. E"
] | C | {"1": "Recognize the folding sequence: the paper is first folded vertically in half to the left, then folded along a diagonal axis, and then folded again along the same diagonal direction.", "2": "After those folds, two half-holes are punched along the most recent (second diagonal) crease.", "3": "First unfolding step ... | long |
27a55497-538c-42be-8e3f-2d35567c5390 | 90 | Geometry Length | Find the length of the green line? | [
"A. 10",
"B. 10√3",
"C. 5/√3",
"D. 10√2",
"E. 10/√3"
] | A | {"1": "Consider a hemisphere with a radius of 10 meters.", "2": "A cube is constructed such that its bottom face shares the same center as the hemisphere.", "3": "The size of the cube is increased until the four corners of its top face touch the hemisphere.", "4": "A line segment (the green line) is drawn from the cent... | short |
50d53828-1c8a-4ccd-8fe7-255de1eb3dc0 | 359 | Graph Theory | Assume that each node is airport. What is the shortest path from airport A to airport E in the given weighted graph? | [
"A. 10",
"B. 4",
"C. 5",
"D. 11",
"E. 7"
] | E | {"1": "Initialize distances from A: dist(A)=0, dist(B)=∞, dist(C)=∞, dist(D)=∞, dist(E)=∞; all nodes unvisited.", "2": "From A, relax edges: A→B has weight 1 so update dist(B)=1; A→D has weight 6 so update dist(D)=6. Mark A visited.", "3": "Select the unvisited node with smallest dist, B (dist=1). From B, relax edges: ... | medium |
741541bc-4b12-4e77-a20b-374d7f029836 | 245 | Geometry Length | What is the radius of the perfect wheel? | [
"A. 10",
"B. 4",
"C. 6",
"D. 2",
"E. 8"
] | A | {"1": "Draw lines from the center of the wheel to the two points where it touches the wall and the brick; these form a right triangle with the center as the vertex of the right angle.", "2": "Label the radius of the wheel as R (the hypotenuse of the triangle) and the two legs as R-2 and R-4, corresponding to the distan... | short |
18d6d3ae-1f7d-4065-bd2c-0a8c14656451 | 153 | Chart | Between which months did NVIDIA's chip manufacturer experience the most significant growth in shares? | [
"A. October 2022 - November 2022",
"B. January 2023 - February 2023",
"C. November 2022 - December 2022",
"D. April 2023 - May 2023",
"E. February 2023 - March 2023"
] | C | {"1": "The full video discusses the semiconductor industry, covering major companies like Nvidia, Amazon, Apple, and Samsung, and focusing on manufacturing, AI chip development, market competition, geopolitical risks, and the global chip supply chain.", "2": "Since the question asks about Nvidias chip manufacturer expe... | long |
8a3141a4-0e11-45c7-bfb7-774140f273ef | 222 | Arithmetic | Based on this video: what is the value of y of the parabola vertex? | [
"A. -3",
"B. 1",
"C. -1",
"D. -2",
"E. 2"
] | C | {"1": "Identify the parabola as y = x^2 + 4x + 3 and recall the vertex x-coordinate formula x = -b/(2a).", "2": "Here a = 1 and b = 4, so x = -4/(2·1) = -2.", "3": "To find the y-coordinate, substitute x = -2 into the equation: y = (-2)^2 + 4·(-2) + 3.", "4": "Compute each term: (-2)^2 = 4 and 4·(-2) = -8, so y = 4 + (... | medium |
a68aeccf-81b3-4f41-af2b-9dc985a004d1 | 380 | Arithmetic | Continue solving based on the steps shown and find the value of x,y,z, and w. Which of the following is NOT part of the correct solution? | [
"A. x=1",
"B. y=2",
"C. z=1",
"D. w=3",
"E. Both A and D."
] | C | {"1": "We start with the system of four linear equations in four unknowns: X + Y + Z + W = 6, 2X + 3Y - W = 0, -3X + 4Y + Z + 2W = 4, and X + 2Y - Z + W = 0.", "2": "First, we eliminate W by adding equations 1 and 2, resulting in 3X + 4Y + Z = 6, which we label as equation 5.", "3": "Next, we eliminate W again by multi... | long |
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