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Jane has exactly 3 times as many Canadian as non-Canadian st
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Carcass
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Joined: 18 Apr 2015
Posts: 15620
GRE 1: Q160 V160
Jane has exactly 3 times as many Canadian as non-Canadian st [#permalink] New post  26 Aug 2018, 03:33
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Jane has exactly 3 times as many Canadian as non-Canadian stamps in her collection. Which of the following CANNOT be the number of stamps in Jane's collection?

(A) 96

(B) 80

(C) 72

(D) 68

(E) 54
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Re: Jane has exactly 3 times as many Canadian as non-Canadian st [#permalink] New post  26 Aug 2018, 04:21
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Carcass wrote:
Jane has exactly 3 times as many Canadian as non-Canadian stamps in her collection. Which of the following CANNOT be the number of stamps in Jane's collection?

(A) 96

(B) 80

(C) 72

(D) 68

(E) 54


Let \(X\) be Non Canadian stamp so Canadian stamp = \(3X\)

Total stamp will be = \(X + 3X = 4X\)

Now look at the option, any number not divisible by 4 is the answer.

Hence 54 is not divisible by 4, so option E
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