Assertion Reasoning Quiz

Question 1 of 7

Assertion (A): Building a ladder to the moon involves linear growth of distance.
Reason (R): Linear growth is multiplicative, where the total distance is found by repeatedly multiplying the distance of one step.

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.

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Question 2 of 7

Assertion (A): In a pond where lotuses double every day, if it is full on day 30, it was one-quarter (1/4) full on day 28.
Reason (R): Since the population doubles every day, moving backwards in time means halving the population for each day.

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.

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Question 3 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.

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Question 4 of 7

Assertion (A): When a paper is folded 46 times, its thickness increases linearly.
Reason (R): Folding a paper in half doubles its thickness with every fold, which represents multiplicative or exponential growth.

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.

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Question 5 of 7

Assertion (A): The expression \( \frac{4^7}{4^{-2}} \) simplifies to \( 4^9 \).
Reason (R): When dividing powers with the same base, you subtract the exponents: \( n^a \div n^b = n^{a-b} \).

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.

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Question 6 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.

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Question 7 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.

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Assertion Reasoning Quiz