text: 1000PS: Section 4 Question 13 : GMAT Problem Solving (PS)
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  # 1000PS: Section 4 Question 13
  
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  1000PS: Section 4 Question 13 [#permalink]
  
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  16 Mar 2011, 09:02
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  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
  
  I have no clue as to how to attempt this question. Can someone help me out
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  Re: 1000PS: Section 4 Question 13 [#permalink]
  
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  16 Mar 2011, 09:11
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  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
  ******************
  Prime factorization
  75 = 5*5*3 = 5^2*3. Includes a perfect square 25
  42 = 7*6 = 7*3*2. We got our candidate. No perfect squares here.
  32 = 2^5 = 4^2*2. Includes a perfect square 4
  25 = 5^2. Perfect square 25
  12 = 2^2*3 = Perfect square 4.
  
  All but 42 have perfect square in them as a factor.
  *******************************************
  
  Just write down all perfect squares greater than 1 and less than 75;
  4,9,16,25,36,49,64
  
  75 = 25*3. 25 is a perfect square
  42 = 7*2*3. No perfect squares here
  32 = 16*2. 16 is a perfect square
  25. 25 is a perfect square
  12 = 4*3. 4 is a perfect square
  
  Ans: "B"
  *********************************
  
  I guess this is also somewhere else in the forum.
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  Re: 1000PS: Section 4 Question 13 [#permalink]
  
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  17 Mar 2011, 00:44
  The answer is B, all other choices have square of an integer > 1 as a factor.
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  Re: 1000PS: Section 4 Question 13 [#permalink]
  
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  21 Apr 2011, 16:25
  
  thats the only integer which doesnt have an integer divisor>1 and also a square of other integer.
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  Re: 1000PS: Section 4 Question 13 [#permalink]
  
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  21 Apr 2011, 17:58
  Acer86 wrote:
  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
  
  I have no clue as to how to attempt this question. Can someone help me out
  
  Converting the choices does the trick. Ans. B
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  Re: 1000PS: Section 4 Question 13 [#permalink]
  
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  22 Apr 2011, 09:31
  
  All others have square whose integer is greater than 1
  Re: 1000PS: Section 4 Question 13   [#permalink] 22 Apr 2011, 09:31
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  # 1000PS: Section 4 Question 13
  
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