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

Options

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

B

Explanation

`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.