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PS - divisor>1 Q

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ccassel: Master | Next Rank: 500 Posts; Posts: 118; Joined: Wed Mar 16, 2011 1:44 pmFollowed by: 2 members; Location: Canada; GMAT Score:530

by ccassel » Mon Apr 18, 2011 12:00 pm

How would you solve this question?

Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?

A. 75
B. 42
C. 32
D. 25
E. 12

Answer B

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Source: Beat The GMAT — Problem Solving | Mon Apr 18, 2011 12:00 pm

force5: Legendary Member; Posts: 582; Joined: Tue Mar 08, 2011 12:48 amFollowed by: 6 members; Thanked: 61 times; GMAT Score:740

by force5 » Mon Apr 18, 2011 2:37 pm

75 has 25 which is a square greater than 1
42 - doesnt have any
32 - has 4
25 - has 25
12 - has 4

hence B

bro you could find that out by factorizing each choice. and if you find any pair then that would not be an answer.

let me know if you need any further clarification.

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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

by Stuart@KaplanGMAT » Mon Apr 18, 2011 9:08 pm

ccassel wrote:How would you solve this question?

Which of the following integers does NOT have a divisor greater than 1 that is the square of an integer?

A. 75
B. 42
C. 32
D. 25
E. 12

Answer B

Hi!

I'd write out all of the perfect squares less than 75 (since that's the biggest answer):

4, 9, 16, 25, 36, 49, 64

and then simply look for the choice for which none of those are a factor.

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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