Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): A rectangle cannot have a 9 cm side and a 7 cm diagonal.
Reason (R): The diagonal must be longer than either side of a non-degenerate rectangle.

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): A point at the intersection of two radius-6 circles centred at B and C is 6 cm from both centres.
Reason (R): A 4 cm square has perimeter 16 cm.

Two radius-6 circles

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 rotated 6 cm square still has side length 6 cm.
Reason (R): A 5 cm radius circle has diameter 10 cm.

Rotated 6 cm square

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): After D, C and B are fixed, drawing parallels through D and B completes rectangle ABCD.
Reason (R): The two new lines are drawn perpendicular to each other at C.

Three fixed vertices D, C and B

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): Two circles of radius 5 cm with centres 12 cm apart intersect twice.
Reason (R): Their radii total only 10 cm, so the circles do not meet.

Two separated radius-5 circles

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): For a 5 cm side and 8 cm diagonal, B lies on a radius-8 arc centred at D.
Reason (R): The arc must instead be centred at C because C lies on the perpendicular.

Side DC = 5 cm; diagonal DB = 8 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.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular