10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): A cube resting flat on one face necessarily has a regular-hexagonal orthogonal projection.
Reason (R): Balancing a cube symmetrically on a corner can give an isometric projection with regular-hexagonal outline.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 2 of 10

Assertion (A): The front view is the projection on the horizontal plane.
Reason (R): The top view is the projection on the horizontal plane.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 3 of 10

How many holes are present at Step 2 of the Sierpinski Carpet?

A 1 B 8 C 9 D 64

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Question 4 of 10

How many faces, edges and vertices does a cube have, respectively?

A 8, 12, 6 B 6, 8, 12 C 6, 12, 8 D 12, 8, 6

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Question 5 of 10

How many sides does Step 2 of the Koch Snowflake have?

A 36 B 48 C 24 D 64

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Question 6 of 10

A straight segment joining two marked points goes outside the chosen cuboid net. What should be done?

A Use the outside part anyway B Try another valid unfolding in which the segment stays on the net C Replace the line by a longer curve D Measure only the portion inside the net

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Question 7 of 10

Assertion (A): In an isometric projection of a cube, projected unit edges in the three principal directions have equal length.
Reason (R): A cube has 8 vertices.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 8 of 10

Which solid can show a square outline when viewed directly towards one of its faces?

A Sphere B Cone C Cylinder D Cube

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Question 9 of 10

Assertion (A): The length of an orthogonal projection of a segment cannot exceed the segment's actual length.
Reason (R): Every segment has a projection equal to its full length in every orientation.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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Question 10 of 10

Assertion (A): A net is a plane arrangement of faces that can be folded to form a solid.
Reason (R): Unfolding the faces of the solid without changing their shapes produces such a plane arrangement.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

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10 Question MCQ (including Assertion)