Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): Six \(60°\) equilateral-triangle angles meet exactly at the centre of a regular hexagon.
Reason (R): \(6\times60°=360°\).

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 6

Assertion (A): In the diagram, equal 5 cm arcs from the ends of a 12 cm segment locate two intersection points.
Reason (R): Two intersections require the common radius to exceed 6 cm.

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 6

Assertion (A): A \(3\times5\) grid can be tiled by \(2\times1\) dominoes.
Reason (R): The grid contains 15 unit squares.

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 6

Assertion (A): In the diagram, A and B are distinct points satisfying \(AX=AY\) and \(BX=BY\). Therefore line AB is the perpendicular bisector of XY.
Reason (R): A \(12\times13\) rectangle needs 78 dominoes.

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 6

Assertion (A): Bisecting a \(90°\) angle produces \(45°\).
Reason (R): A \(4\times6\) grid needs 12 dominoes.

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 6

Assertion (A): A \(7\times10\) grid can be tiled by 35 dominoes.
Reason (R): Its 10 columns can be paired, giving five \(7\times2\) strips, each tiled horizontally.

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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