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Assertion (A): 7 × 2 + 3 is a composite number. Reason (R): A composite number has more than two factors. - Mathematics

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Question

Assertion (A): 7 × 2 + 3 is a composite number.

Reason (R): A composite number has more than two factors.

Options

  • Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

  • Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (А).

  • Assertion (A) is true, but Reason (R) is false.

  • Assertion (A) is false, but Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

Assertion (A) is false, but Reason (R) is true.

Explanation:

Assertion (A): 7 × 2 + 3 = 14 + 3 = 17

17 is a prime number because it is divisible only by 1 and itself.

So, Assertion (A) is false.

Reason (R): By definition, a composite number is a positive integer greater than 1 that has at least one divisor other than 1 and itself.

So, Reason (R) is true.

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2025-2026 (March) Basic - 430/1/2
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