{ "title": "Nets of Cubes & Cuboids (Geometry & Spatial Understanding) - Grade 5", "total_questions": 100, "questions": [ {"id": 1, "difficulty": "easy", "question": "How many faces does a cube have?", "options": {"A": "4", "B": "5", "C": "6", "D": "8"}, "correct_answer": "C"}, { "id": 2, "difficulty": "easy", "question": "Can every shape made of 6 connected squares be folded into a cube?", "options": { "A": "Yes", "B": "No", "C": "Only some shapes", "D": "Only square shapes" }, "correct_answer": "C" } , {"id": 3, "difficulty": "easy", "question": "A cuboid has how many rectangular faces?", "options": {"A": "4", "B": "5", "C": "6", "D": "8"}, "correct_answer": "C"}, {"id": 4, "difficulty": "easy", "question": "When you fold a net of a cube, how many faces meet at each vertex (corner)?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"}, { "id": 5, "difficulty": "easy", "question": "Is every T-shaped arrangement of 6 squares a net of a cube?", "options": { "A": "Yes", "B": "No", "C": "Some are, some are not", "D": "Only large ones" }, "correct_answer": "C" } , {"id": 6, "difficulty": "easy", "question": "How many edges does a cube have?", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"}, {"id": 7, "difficulty": "easy", "question": "A net is a ______ shape that can be folded to make a 3D object.", "options": {"A": "2D", "B": "3D", "C": "1D", "D": "4D"}, "correct_answer": "A"}, {"id": 8, "difficulty": "easy", "question": "In a net of a cuboid, how many pairs of identical rectangles are there?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"}, { "id": 9, "difficulty": "easy", "question": "Can the opposite face of a cube be determined without seeing the full net?", "options": { "A": "Yes, always", "B": "Yes, sometimes", "C": "No", "D": "Only for cubes" }, "correct_answer": "C" } , {"id": 10, "difficulty": "easy", "question": "How many vertices (corners) does a cuboid have?", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"}, {"id": 11, "difficulty": "easy", "question": "All faces of a cube are ______.", "options": {"A": "rectangles", "B": "squares", "C": "triangles", "D": "circles"}, "correct_answer": "B"}, {"id": 12, "difficulty": "easy", "question": "A net of a cube must have exactly how many squares?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C"}, {"id": 13, "difficulty": "easy", "question": "When you fold a net, the edges of the squares become the ______ of the cube.", "options": {"A": "faces", "B": "vertices", "C": "edges", "D": "sides"}, "correct_answer": "C"}, {"id": 14, "difficulty": "easy", "question": "Which of these can be a net for a cuboid? (A shape with 6 rectangles)", "options": {"A": "Yes", "B": "No", "C": "Only if all rectangles are same", "D": "Only if it has 3 pairs of equal rectangles"}, "correct_answer": "D"}, {"id": 15, "difficulty": "easy", "question": "In a cube, each face touches ______ other faces.", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"}, { "id": 16, "difficulty": "easy", "question": "Why can a net with 6 squares in a straight row not form a cube?", "options": { "A": "Faces overlap", "B": "It cannot fold into 3D", "C": "Edges do not meet", "D": "All of the above" }, "correct_answer": "D" } , {"id": 17, "difficulty": "easy", "question": "A cuboid has ______ pairs of parallel edges.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"}, {"id": 18, "difficulty": "easy", "question": "If you cut along the edges of a cube and lay it flat, you get a ______.", "options": {"A": "shadow", "B": "net", "C": "map", "D": "projection"}, "correct_answer": "B"}, {"id": 19, "difficulty": "easy", "question": "How many different nets are there for a cube?", "options": {"A": "1", "B": "6", "C": "11", "D": "Many"}, "correct_answer": "C"}, {"id": 20, "difficulty": "easy", "question": "A cube is a special type of cuboid where all ______ are equal.", "options": {"A": "faces", "B": "edges", "C": "angles", "D": "All of the above"}, "correct_answer": "D"}, { "id": 21, "difficulty": "medium", "question": "In a cube net, which face becomes opposite to a given face?", "options": { "A": "The face across in the net", "B": "The face not touching it", "C": "The face sharing an edge", "D": "It depends on the net" }, "correct_answer": "D" } , {"id": 22, "difficulty": "medium", "question": "Which of the following arrangements of 6 squares is NOT a valid net for a cube?", "options": {"A": "A cross shape", "B": "A shape with four squares in a row and one on each side of the second square", "C": "A shape with three squares in a row, one above the first, and two stacked on the side of the second", "D": "A shape with two rows of three squares"}, "correct_answer": "D"}, { "id": 23, "difficulty": "medium", "question": "A cuboid has dimensions 2 cm × 3 cm × 4 cm. What is its total surface area?", "options": { "A": "24 sq cm", "B": "26 sq cm", "C": "52 sq cm", "D": "62 sq cm" }, "correct_answer": "C" } , { "id": 24, "difficulty": "medium", "question": "In a cube net, which face becomes opposite to a given face after folding?", "options": { "A": "A face sharing an edge", "B": "A face sharing a corner", "C": "A face not touching it", "D": "The center face" }, "correct_answer": "C" } , {"id": 25, "difficulty": "medium", "question": "How many edges meet at a single vertex of a cube?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"}, {"id": 26, "difficulty": "medium", "question": "If a cube has a side length of 5 cm, what is the area of one face in its net?", "options": {"A": "10 sq cm", "B": "20 sq cm", "C": "25 sq cm", "D": "30 sq cm"}, "correct_answer": "C"}, { "id": 27, "difficulty": "medium", "question": "In a cube net, when can two faces become opposite faces?", "options": { "A": "When they share an edge", "B": "When they do not touch", "C": "Always when separated by one face", "D": "It depends on the net" }, "correct_answer": "D" } , {"id": 28, "difficulty": "medium", "question": "What is the number of vertices in a cube?", "options": {"A": "6", "B": "8", "C": "12", "D": "24"}, "correct_answer": "B"}, {"id": 29, "difficulty": "medium", "question": "Which net will form a closed cube when folded? Net A has 5 squares in a row. Net B has 4 squares in a row with two attached to the second square.", "options": {"A": "Net A", "B": "Net B", "C": "Both", "D": "Neither"}, "correct_answer": "B"}, {"id": 30, "difficulty": "medium", "question": "A cuboid's net has three different sized rectangles. How many of each size are there?", "options": {"A": "1 each", "B": "2 each", "C": "3 each", "D": "4 each"}, "correct_answer": "B"}, {"id": 31, "difficulty": "medium", "question": "When folded, which edge of the net will join with edge 'P' to form a cube edge?", "options": {"A": "The edge parallel to P", "B": "The edge marked Q in the diagram", "C": "The edge perpendicular to P", "D": "It depends on the net."}, "correct_answer": "D"}, {"id": 32, "difficulty": "medium", "question": "The sum of the lengths of all edges of a cube is 60 cm. What is the length of one side?", "options": {"A": "5 cm", "B": "6 cm", "C": "10 cm", "D": "12 cm"}, "correct_answer": "A"}, {"id": 33, "difficulty": "medium", "question": "In a net, if face A is adjacent to face B, and face B is adjacent to face C, then in the cube, face A and face C are ______.", "options": {"A": "always adjacent", "B": "always opposite", "C": "could be adjacent or opposite", "D": "never adjacent"}, "correct_answer": "C"}, {"id": 34, "difficulty": "medium", "question": "A cube has a face diagonal of 10√2 cm. What is the area of one face in its net?", "options": {"A": "50 sq cm", "B": "100 sq cm", "C": "150 sq cm", "D": "200 sq cm"}, "correct_answer": "B"}, {"id": 35, "difficulty": "medium", "question": "Which of the following is a net of a cuboid of dimensions 2x2x4? (Look for a net with two pairs of small squares and one pair of rectangles)", "options": {"A": "Yes", "B": "No", "C": "Only if the rectangles are 2x4", "D": "Only if the squares are 2x2"}, "correct_answer": "A"}, {"id": 36, "difficulty": "medium", "question": "How many faces of a cube are visible from any given external point?", "options": {"A": "1", "B": "2", "C": "3", "D": "It depends on the point."}, "correct_answer": "C"}, {"id": 37, "difficulty": "medium", "question": "A net of a cube is cut out of paper. If you fold it, some faces will be on the inside temporarily. How many faces are never on the inside during folding?", "options": {"A": "0", "B": "1", "C": "3", "D": "6"}, "correct_answer": "B"}, {"id": 38, "difficulty": "medium", "question": "What is the three-dimensional object formed by folding a net of 6 squares?", "options": {"A": "Cube", "B": "Cuboid", "C": "Square pyramid", "D": "Either A or B"}, "correct_answer": "A"}, {"id": 39, "difficulty": "medium", "question": "If the total surface area of a cube is 96 sq cm, what is the area of one square in its net?", "options": {"A": "8 sq cm", "B": "16 sq cm", "C": "24 sq cm", "D": "32 sq cm"}, "correct_answer": "B"}, {"id": 40, "difficulty": "medium", "question": "In a cube, the face opposite to the face with the number 1 is ______.", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "D"}, {"id": 41, "difficulty": "medium", "question": "A net has squares arranged such that one square is surrounded by four others. The surrounded square will be opposite to which face in the cube?", "options": {"A": "One of the surrounding squares", "B": "The square not attached to the surrounded square", "C": "There is no opposite face for the center.", "D": "It becomes an internal face."}, "correct_answer": "B"}, {"id": 42, "difficulty": "medium", "question": "The volume of a cube is 64 cubic cm. What is the perimeter of one face in its net?", "options": {"A": "16 cm", "B": "20 cm", "C": "24 cm", "D": "32 cm"}, "correct_answer": "A"}, {"id": 43, "difficulty": "medium", "question": "Which net will NOT form a cube? A net with two squares stacked, and four squares in a row attached to the bottom of the left stacked square.", "options": {"A": "It will form a cube.", "B": "It will not form a cube because faces overlap.", "C": "It will not form a cube because a face is missing.", "D": "It will form a cuboid."}, "correct_answer": "B"}, { "id": 44, "difficulty": "medium", "question": "Why is the volume of a cuboid not always uniquely determined from the areas of its faces?", "options": { "A": "Different dimensions can give same face areas", "B": "Faces may not be rectangles", "C": "Edges are unknown", "D": "All of the above" }, "correct_answer": "A" } , { "id": 45, "difficulty": "medium", "question": "How many nets of a cube have four squares in a straight row?", "options": { "A": "3", "B": "4", "C": "5", "D": "6" }, "correct_answer": "C" } , {"id": 46, "difficulty": "medium", "question": "In a cube, if three faces meet at a corner, the sum of the numbers on those faces is 9. What is the number on the face opposite to the face numbered 1?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "D"}, { "id": 47, "difficulty": "medium", "question": "If the side length of a cube is 5 cm, what is its total surface area?", "options": { "A": "100 sq cm", "B": "125 sq cm", "C": "150 sq cm", "D": "200 sq cm" }, "correct_answer": "C" } , {"id": 48, "difficulty": "medium", "question": "Which of the following is true for all nets of a cube?", "options": {"A": "They have a square in the center.", "B": "They have exactly 6 squares.", "C": "They can be colored with 3 colors so that no two adjacent faces have the same color.", "D": "They have rotational symmetry."}, "correct_answer": "B"}, {"id": 49, "difficulty": "medium", "question": "A cube is painted red on all faces and cut into 27 smaller identical cubes. How many smaller cubes have red on exactly two faces?", "options": {"A": "4", "B": "8", "C": "12", "D": "16"}, "correct_answer": "C"}, {"id": 50, "difficulty": "medium", "question": "The net of a cuboid has rectangles of sides 3cm x 5cm, 3cm x 5cm, 3cm x 7cm, 3cm x 7cm, 5cm x 7cm, and 5cm x 7cm. What are the dimensions of the cuboid?", "options": {"A": "3,5,7", "B": "5,5,7", "C": "3,3,7", "D": "3,5,5"}, "correct_answer": "A"}, {"id": 51, "difficulty": "medium", "question": "If you rotate a net of a cube, is it still the same net?", "options": {"A": "Yes, always.", "B": "No, never.", "C": "Yes, if the connectivity is the same.", "D": "Only if it is symmetric."}, "correct_answer": "C"}, {"id": 52, "difficulty": "medium", "question": "A cube has a surface area of 150 sq cm. What is the area of one face in its net?", "options": {"A": "15 sq cm", "B": "20 sq cm", "C": "25 sq cm", "D": "30 sq cm"}, "correct_answer": "C"}, {"id": 53, "difficulty": "medium", "question": "In a net, face 'A' is connected to face 'B' along an edge. In the cube, faces A and B are ______.", "options": {"A": "adjacent", "B": "opposite", "C": "sometimes adjacent, sometimes opposite", "D": "perpendicular"}, "correct_answer": "A"}, {"id": 54, "difficulty": "medium", "question": "How many edges does a cuboid have?", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"}, {"id": 55, "difficulty": "medium", "question": "A cube is cast from a cuboid of clay with dimensions 10cm x 20cm x 5cm. What is the maximum number of such cubes with 5cm side that can be made?", "options": {"A": "4", "B": "8", "C": "10", "D": "20"}, "correct_answer": "B"}, {"id": 56, "difficulty": "medium", "question": "Which net represents a cube? Net 1: A cross of 6 squares. Net 2: A shape with 5 squares in an 'L' shape with one attached.", "options": {"A": "Net 1 only", "B": "Net 2 only", "C": "Both", "D": "Neither"}, "correct_answer": "A"}, { "id": 57, "difficulty": "medium", "question": "The length of the space diagonal of a cube is 10√3 cm. What is the side length of the cube?", "options": { "A": "5 cm", "B": "10 cm", "C": "15 cm", "D": "20 cm" }, "correct_answer": "B" } , {"id": 58, "difficulty": "medium", "question": "A net of a cube has faces marked 1 to 6. If 1 is opposite 6, and 2 is adjacent to 1 and 3, which face is opposite 4?", "options": {"A": "1", "B": "2", "C": "3", "D": "5"}, "correct_answer": "C"}, {"id": 59, "difficulty": "medium", "question": "How many faces of a cuboid are rectangles?", "options": {"A": "4", "B": "5", "C": "6", "D": "8"}, "correct_answer": "C"}, {"id": 60, "difficulty": "medium", "question": "If the volume of a cube is 27 cubic cm, what is the total length of all its edges?", "options": {"A": "27 cm", "B": "36 cm", "C": "54 cm", "D": "72 cm"}, "correct_answer": "B"}, {"id": 61, "difficulty": "medium", "question": "A net has 6 squares. Two squares share only a vertex (corner). In the folded cube, the corresponding faces will be ______.", "options": {"A": "adjacent", "B": "opposite", "C": "the same", "D": "not connected"}, "correct_answer": "B"}, {"id": 62, "difficulty": "medium", "question": "What is the ratio of the total surface area of a cube to the area of one of its faces?", "options": {"A": "1:1", "B": "2:1", "C": "4:1", "D": "6:1"}, "correct_answer": "D"}, {"id": 63, "difficulty": "medium", "question": "A cube is cut into 64 smaller cubes of equal size. How many smaller cubes are there?", "options": {"A": "32", "B": "48", "C": "64", "D": "128"}, "correct_answer": "C"}, {"id": 64, "difficulty": "medium", "question": "Which of the following can be a net of a cube? A shape with a 'U' made of 5 squares and one square attached to the bottom of the 'U'.", "options": {"A": "Yes", "B": "No", "C": "Only if the 'U' is wide", "D": "Only if the attached square is large"}, "correct_answer": "A"}, { "id": 65, "difficulty": "medium", "question": "A cuboid has dimensions 5 cm, 5 cm, and 10 cm. What is its volume?", "options": { "A": "125 cubic cm", "B": "200 cubic cm", "C": "250 cubic cm", "D": "500 cubic cm" }, "correct_answer": "C" } , {"id": 66, "difficulty": "medium", "question": "How many nets of a cube have a 'T' shape?", "options": {"A": "0", "B": "2", "C": "4", "D": "6"}, "correct_answer": "B"}, {"id": 67, "difficulty": "medium", "question": "A cube has a side of 'a'. What is the length of the space diagonal?", "options": {"A": "a√2", "B": "a√3", "C": "2a", "D": "3a"}, "correct_answer": "B"}, { "id": 68, "difficulty": "medium", "question": "In a cube, faces that meet at a corner are ______ to each other.", "options": { "A": "parallel", "B": "opposite", "C": "perpendicular", "D": "identical" }, "correct_answer": "C" } , {"id": 69, "difficulty": "medium", "question": "The number of vertices in a cuboid is ______.", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"}, {"id": 70, "difficulty": "medium", "question": "If the surface area of a cube is 54 sq cm, what is its volume?", "options": {"A": "9 cubic cm", "B": "18 cubic cm", "C": "27 cubic cm", "D": "36 cubic cm"}, "correct_answer": "C"}, { "id": 71, "difficulty": "medium", "question": "If the area of one face of a cube is 9 sq cm, what is the side length of the cube?", "options": { "A": "2 cm", "B": "3 cm", "C": "4 cm", "D": "6 cm" }, "correct_answer": "B" } , {"id": 72, "difficulty": "medium", "question": "Which face is opposite the face with a circle in a standard dice net where the circles are on the middle of the cross arms?", "options": {"A": "The face with one dot", "B": "The face with six dots", "C": "The face with five dots", "D": "The face with two dots"}, "correct_answer": "B"}, {"id": 73, "difficulty": "medium", "question": "A cube has ______ planes of symmetry.", "options": {"A": "3", "B": "6", "C": "9", "D": "12"}, "correct_answer": "C"}, {"id": 74, "difficulty": "medium", "question": "The net of a cube is cut from a sheet of paper. What is the minimum number of cuts required to separate all the squares?", "options": {"A": "5", "B": "7", "C": "10", "D": "12"}, "correct_answer": "B"}, {"id": 75, "difficulty": "medium", "question": "A cuboid has a volume of 240 cubic cm. Its dimensions are 4 cm, 6 cm, and 10 cm. What is its total surface area?", "options": {"A": "248 sq cm", "B": "284 sq cm", "C": "296 sq cm", "D": "328 sq cm"}, "correct_answer": "A"}, {"id": 76, "difficulty": "medium", "question": "How many nets of a cube are there that have 4 squares in a row and two squares attached to the second square?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"}, {"id": 77, "difficulty": "medium", "question": "A cube is painted and cut into 125 smaller cubes. How many cubes have paint on exactly one face?", "options": {"A": "27", "B": "54", "C": "81", "D": "96"}, "correct_answer": "B"}, {"id": 78, "difficulty": "medium", "question": "The lateral surface area of a cube is 64 sq cm. What is the side length?", "options": {"A": "2 cm", "B": "4 cm", "C": "6 cm", "D": "8 cm"}, "correct_answer": "B"}, {"id": 79, "difficulty": "medium", "question": "In a net, the faces are numbered. If face 1 is adjacent to 2, 3, 4, and 5 in the net, which face is opposite 1 in the cube?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "D"}, {"id": 80, "difficulty": "medium", "question": "A cube has a side of 10 cm. What is the distance from one vertex to the opposite vertex (space diagonal)?", "options": {"A": "10√2 cm", "B": "10√3 cm", "C": "20 cm", "D": "30 cm"}, "correct_answer": "B"}, {"id": 81, "difficulty": "hard", "question": "What is the number of distinct nets for a cube?", "options": {"A": "6", "B": "8", "C": "11", "D": "13"}, "correct_answer": "C"}, {"id": 82, "difficulty": "hard", "question": "A cube is truncated (cut at the corners). How many new faces are created?", "options": {"A": "6", "B": "8", "C": "12", "D": "14"}, "correct_answer": "B"}, {"id": 83, "difficulty": "hard", "question": "The net of a cube is drawn on a paper with a side of 4 cm. What is the perimeter of the net? (Consider a cross net)", "options": {"A": "32 cm", "B": "40 cm", "C": "48 cm", "D": "56 cm"}, "correct_answer": "C"}, {"id": 84, "difficulty": "hard", "question": "A cube is inscribed in a sphere. The ratio of the volume of the cube to the volume of the sphere is ______.", "options": {"A": "2:√3π", "B": "2:3π", "C": "1:√2π", "D": "√2:π"}, "correct_answer": "A"}, {"id": 85, "difficulty": "hard", "question": "How many nets of a cube have a 'zig-zag' pattern of 6 squares?", "options": {"A": "2", "B": "4", "C": "6", "D": "8"}, "correct_answer": "C"}, {"id": 86, "difficulty": "hard", "question": "A cube is painted red on two opposite faces, blue on two other opposite faces, and green on the remaining two faces. It is cut into 64 smaller cubes. How many cubes have only one red face?", "options": {"A": "4", "B": "8", "C": "12", "D": "16"}, "correct_answer": "D"}, {"id": 87, "difficulty": "hard", "question": "What is the maximum number of cubes of side 2 cm that can be packed into a cuboidal box of dimensions 10 cm x 12 cm x 14 cm?", "options": {"A": "180", "B": "210", "C": "240", "D": "280"}, "correct_answer": "B"}, {"id": 88, "difficulty": "hard", "question": "A cube has a volume of 512 cubic cm. What is the length of its space diagonal?", "options": {"A": "8√3 cm", "B": "16√2 cm", "C": "16√3 cm", "D": "24 cm"}, "correct_answer": "C"}, {"id": 89, "difficulty": "hard", "question": "How many nets of a cube are also nets of a regular octahedron?", "options": {"A": "0", "B": "2", "C": "4", "D": "6"}, "correct_answer": "B"}, {"id": 90, "difficulty": "hard", "question": "A cube is cut by a plane passing through the midpoints of three edges meeting at a vertex. What is the shape of the cross-section?", "options": {"A": "Triangle", "B": "Square", "C": "Rectangle", "D": "Hexagon"}, "correct_answer": "A"}, {"id": 91, "difficulty": "hard", "question": "The sum of the lengths of all edges of a cuboid is 100 cm. If the total surface area is 250 sq cm, what is the length of the space diagonal?", "options": {"A": "5√5 cm", "B": "10√2 cm", "C": "15 cm", "D": "20 cm"}, "correct_answer": "C"}, {"id": 92, "difficulty": "hard", "question": "A cube is painted on all faces and cut into 27 smaller cubes. How many cubes have no painted face?", "options": {"A": "0", "B": "1", "C": "4", "D": "8"}, "correct_answer": "B"}, {"id": 93, "difficulty": "hard", "question": "What is the minimum number of colors required to color the faces of a cube so that no two adjacent faces have the same color?", "options": {"A": "2", "B": "3", "C": "4", "D": "6"}, "correct_answer": "B"}, {"id": 94, "difficulty": "hard", "question": "A cube is transformed into a cuboid by doubling one of its dimensions. How does the total surface area change?", "options": {"A": "It doubles.", "B": "It becomes 4/3 times.", "C": "It increases by 50%.", "D": "It depends on which dimension is doubled."}, "correct_answer": "D"}, {"id": 95, "difficulty": "hard", "question": "How many nets of a cube have a 'spiral' pattern?", "options": {"A": "0", "B": "2", "C": "4", "D": "6"}, "correct_answer": "A"}, {"id": 96, "difficulty": "hard", "question": "A cube has a side of 'a'. What is the ratio of the volume of the cube to the volume of the inscribed sphere?", "options": {"A": "6:π", "B": "3:2π", "C": "2:√3π", "D": "1:π/6"}, "correct_answer": "A"}, {"id": 97, "difficulty": "hard", "question": "A cube is cut into smaller cubes by making 4 cuts along each dimension. How many smaller cubes are there?", "options": {"A": "64", "B": "125", "C": "216", "D": "343"}, "correct_answer": "B"}, { "id": 98, "difficulty": "hard", "question": "How many planes of symmetry does a cube have?", "options": { "A": "3", "B": "6", "C": "9", "D": "13" }, "correct_answer": "C" } , {"id": 99, "difficulty": "hard", "question": "A cube is placed on a table. What is the maximum number of cubes that can be placed around it such that each new cube touches a face of the central cube?", "options": {"A": "4", "B": "5", "C": "6", "D": "8"}, "correct_answer": "C"}, {"id": 100, "difficulty": "hard", "question": "A net of a cube is drawn on a paper. The paper is then folded to form the cube. Which of the following is always true about the net?", "options": {"A": "It has a center of symmetry.", "B": "It has at least one line of symmetry.", "C": "The squares are arranged in a convex polygon.", "D": "None of the above."}, "correct_answer": "D"} ] }