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16 Mar 2011, 10:02
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:06) correct
22%
(01:11)
wrong
based on 1855
sessions
History
Date
Time
Result
Not Attempted Yet
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
(A) 75
(B) 42
(C) 32
(D) 25
(E) 12
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16 Mar 2011, 10:11
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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.
(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.
General Discussion
17 Mar 2011, 01:44
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The answer is B, all other choices have square of an integer > 1 as a factor.
