Assertion Reasoning Quiz

Question 1 of 5

Assertion (A): The number of 3-letter words that can be formed using the letters A, B, C, D (where repetition is allowed) is 64.

Reason (R): If repetition of letters is not allowed, the number of 3-letter words formed from A, B, C, D is 24.

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 5

Assertion (A): A committee of 3 members is to be formed from 3 boys and 2 girls. The number of ways to form this committee such that it contains at least one girl is 9.

Reason (R): The number of combinations with "at least one" restriction can be calculated by subtracting the number of combinations with "none" from the "total" possible combinations without restriction.

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 5

Assertion: If 12 persons each shake hands once with every other person, the total number of handshakes is 66.

Reason: Each person shakes hands with 11 others, so there are \(12\times 11=132\) different handshakes.

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

Select one option. Answers are shown after the test.

Question 4 of 5

Assertion (A): The number of ways to arrange the letters of the word "ROSE" such that the vowels (O, E) are always together is 12.

Reason (R): When specific objects must occur together, they are treated as a single object for the arrangement, and then arranged internally among themselves.

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 5

Assertion (A): \(0! = 1\).

Reason (R): Arranging 0 objects at all is the same as leaving behind all the objects, and there is exactly one way of doing so.

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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