Problem Solving

The positive integer n is divisible by 25. If is square root of n
greater than 25, which of the following could be the
value of n/25?
(A) 22
(B) 23
(C) 24
(D) 25
(E) 26

OA [spoiler]E : As per OG, If square root of n> 25, then n > 25^2. Therefore, n/25>25^2/25 =
25 and the only answer choice that is greater than
25 is 26.[/spoiler]

But My question is that whether this answer is satisfying the first line of question argument "The positive integer n is divisible by 25" ?

Any comments?

bpgen wrote:The positive integer n is divisible by 25. If is square root of n
greater than 25, which of the following could be the
value of n/25?
(A) 22
(B) 23
(C) 24
(D) 25
(E) 26

OA [spoiler]E : As per OG, If square root of n> 25, then n > 25^2. Therefore, n/25>25^2/25 =
25 and the only answer choice that is greater than
25 is 26.[/spoiler]

But My question is that whether this answer is satisfying the first line of question argument "The positive integer n is divisible by 25" ?

Any comments?

n=25*26 hence satisfying bth 1st and 2nd condition.....
i think u are asuuming n to be 26 its not
the q is asking for n/25
a) gives n=22*25 satisfies 1st but not 2nd as the square root of n will be less than 25
same is true option B,C,D

hth

Thanks thephoenix for your great explanation!

The mistake I did, was :

square root of n greater than 25=> n>25*25,

but it could be 25*26, i.e something 25*(25+X)

Appreciate help.