Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): A group of 10 has mean 12 and a group of 20 has mean 18. Their combined mean is 15.
Reason (R): The combined total is \(10\times12+20\times18=480\).

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): Adding 4 to every value in 3, 6, 8 and 11 raises both mean and median by 4.
Reason (R): The new list 7, 10, 12, 15 keeps all positions and adds 4 to each middle value and to the fair share.

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 rise from 30 registrations to 45 registrations is a 50% increase.
Reason (R): The median of 2, 3, 7 and 20 is 5.

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): The datasets 2, 6, 10 and 4, 6, 8 have the same range.
Reason (R): Both datasets have mean 6.

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): Adding both 0 and 20 to the data 8, 9, 10, 11 and 12 keeps the mean at 10.
Reason (R): The original total is 50; the new total is 70 across 7 values, and \(70\div7=10\).

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): The datasets 4, 5, 6 and 1, 5, 9 have different ranges.
Reason (R): The mean of 20, 25 and 30 is 25.

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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