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Statement-1: the number of even divisors...

Statement-1: the number of even divisors of the number N=12600 is 54.
Statement-2: 0,2,4,6,8, . . . Are even integers.

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

Text Solution

Verified by Experts

The correct Answer is:
B
`becauseN=12600=2^(3)*3^(2)*5^(2)*7^(1)`
`therefore`Numbe of even divisors`=3*(2+1)*(2+1)*(1+1)=54`
both statement are true but statement-2 is not a correct exaplanation for statement-1.
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