Assertion Reasoning Quiz

Question 1 of 7

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.

Select one option. Answers are shown after the test.

Question 2 of 7

Assertion (A): A straight segment between two points on a suitable cuboid net gives a shortest surface path.
Reason (R): Unfolding preserves path length, and a straight segment is shortest between two plane points.

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.

Select one option. Answers are shown after the test.

Question 3 of 7

Assertion (A): A cube has 6 faces, 12 edges and 8 vertices.
Reason (R): Faces meet along edges, and edges meet at vertices in exactly these counts for a cube.

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.

Select one option. Answers are shown after the test.

Question 4 of 7

Assertion (A): The source stack contains 10 cubes.
Reason (R): Its rows contain 1, 2, 3 and 5 cubes, whose sum is 11.

A triangular stack with rows of one, two, three and four visible cubes.

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.

Select one option. Answers are shown after the test.

Question 5 of 7

Assertion (A): Step 2 of the Sierpinski Carpet has 64 remaining squares.
Reason (R): Each remaining square produces 9 remaining squares in the next step.

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.

Select one option. Answers are shown after the test.

Question 6 of 7

Assertion (A): Non-degenerate orthogonal projections of parallel lines remain parallel.
Reason (R): Parallel lines have the same direction, whose projected components therefore have the same direction.

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.

Select one option. Answers are shown after the test.

Question 7 of 7

Assertion (A): Step 1 of the Sierpinski Carpet has 8 remaining squares.
Reason (R): The Koch Snowflake starts from an equilateral triangle.

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.

Select one option. Answers are shown after the test.

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