Assertion Reasoning Quiz

Question 1 of 7

Assertion: A digits-only code of length 9 is sufficient to give a unique code to each of \(8.5\times10^9\) milk packets.
Reason: \(10^9<8.5\times10^9<10^{10}\), so at least 10 digits are required.

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 2 of 7

Assertion (A): If a digital locker has a 5-digit passcode (using digits 0-9), there are 1,00,000 possible combinations.
Reason (R): The total combinations are found by adding the choices for each slot: \( 10 + 10 + 10 + 10 + 10 \).

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 3 of 7

Assertion: If the world has about \(2\times10^{16}\) ants and \(8\times10^9\) humans, there are approximately \(2.5\times10^6\) ants per human.
Reason: \(\dfrac{2\times10^{16}}{8\times10^9}=0.25\times10^7=2.5\times10^6\).

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 7

Assertion (A): The value of \( (-1)^{56} \) is positive 1.
Reason (R): A negative base raised to an even power always results in a positive number.

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: If there are \(3\times10^{12}\) trees and each has about \(10^4\) leaves, the total number of leaves is approximately \(3\times10^{16}\).
Reason: When powers of 10 are multiplied, their exponents are added.

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 6 of 7

Assertion: A 4-character alphanumeric code, using capital letters and digits with repetition allowed, has \(36^4\) possible codes.
Reason: There are 40 possible symbols for each position: 26 letters and 14 digits.

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 7 of 7

Assertion (A): \( 6^4 \times 3^2 \) is equal to \( 2^4 \times 3^6 \).
Reason (R): The power of a product rule states that \( (m \times n)^a = m^a \times n^a \).

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