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13 Aug 2018, 04:59
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Difficulty:
25%
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Question Stats:
75% (01:24) correct
25%
(01:33)
wrong
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If t is divisible by 12, what is the least possible integer value of a for which \(\frac{t^2}{2^a}\) might not be an integer?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
13 Aug 2018, 05:46
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Since T is divisible by 12. Let's assume T to be 12. Then, \(T^2\) =144.
Then the minimum value for which \(T^2\) is not an integer when divided by \(2^a\) is when a=5.
Hence D is the answer.
Then the minimum value for which \(T^2\) is not an integer when divided by \(2^a\) is when a=5.
Hence D is the answer.
13 Aug 2018, 06:55
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Bunuel
If t is divisible by 12, what is the least possible integer value of a for which \(\frac{t^2}{2^a}\) might not be an integer?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Min Value if \(t^2 = 12^2 =2^4*3^2\)
Thus, all values of \(2\) upto \(2^4\) will result in an integer value, hence Answer must be \((D)5\)
