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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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SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1544
Location: Pakistan
GPA: 3.39
Let a, b, and c be three integers, and let a be a perfect square. If a [#permalink]

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21 May 2017, 05:20
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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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Senior Manager
Joined: 07 Jul 2012
Posts: 335
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: Let a, b, and c be three integers, and let a be a perfect square. If a [#permalink]

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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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