Statement-1 (A): If 11 divides 627264, then 11 divides 792. State… - Vidyadip

MCQ

Statement-1 $(A)$: If 11 divides 627264, then 11 divides 792.
Statement-2 $(R)$ : Let $p$ be a prime number and a be a positive integer, if $p$ divides $a^2$, then pdivides $a$.

✓
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is true, Statement-2 is false.
D
Statement- 1 is false, Statement-2 is true.

✓

Answer

Correct option: A.

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

(A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Using Theorem 2 (page 1.3 of main book), we find that the statement- 2 is true. We observe that 11 is prime and it divides 627264 . Therefore, by using statement-2, 11 divides $\sqrt{627264}=792$. So, statement-1 is also true. Also, statement-2 is a correct explanation for statement-1.

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