Problem Solving-OG-161

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bpgen: Master | Next Rank: 500 Posts; Posts: 142; Joined: Sat Feb 20, 2010 7:23 pmFollowed by: 1 member; Thanked: 8 times

by bpgen » Tue Mar 09, 2010 7:16 pm

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?

"Ambition is the path to success. Persistence is the vehicle you arrive in."

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Source: Beat The GMAT — Problem Solving | Tue Mar 09, 2010 7:16 pm

thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

by thephoenix » Tue Mar 09, 2010 7:48 pm

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

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bpgen: Master | Next Rank: 500 Posts; Posts: 142; Joined: Sat Feb 20, 2010 7:23 pmFollowed by: 1 member; Thanked: 8 times

by bpgen » Tue Mar 09, 2010 8:00 pm

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.

"Ambition is the path to success. Persistence is the vehicle you arrive in."

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