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Let a, b, and c be three integers, and let a be a perfect square. If a

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Let a, b, and c be three integers, and let a be a perfect square. If a [#permalink]

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New post 21 May 2017, 05:20
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3
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A
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C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:12) correct 31% (02:23) wrong based on 36 sessions

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Let a, b, and c be three integers, and let a be a perfect square. If a/b = b/c, then which one of the following statements must be true?

(A) c must be an even number
(B) c must be an odd number
(C) c must be a perfect square
(D) c must not be a perfect square
(E) c must be a prime number

Source: Nova GMAT

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Re: Let a, b, and c be three integers, and let a be a perfect square. If a [#permalink]

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New post 21 May 2017, 19:02
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Given: \(\frac{a}{b}\)=\(\frac{b}{c}\)
Thus, \(b^2\)= ac
It is given that a is a perfect square
From the above equation, It is concluded that
b is also a perfect square
Therefore, C must be a perfect square

\(Answer: C.\)

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Re: Let a, b, and c be three integers, and let a be a perfect square. If a   [#permalink] 21 May 2017, 19:02
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Let a, b, and c be three integers, and let a be a perfect square. If a

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