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If a, b, and c are positive, is a =b^2/c ?

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Joined: 02 Sep 2009
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If a, b, and c are positive, is a =b^2/c ?  [#permalink]

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New post 24 Dec 2017, 01:20
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:11) correct 25% (01:43) wrong based on 80 sessions

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Re: If a, b, and c are positive, is a =b^2/c ?  [#permalink]

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New post 24 Dec 2017, 02:44
1
Bunuel wrote:
If a, b, and c are positive, is a =b^2/c ?

(1) a/c = b/c
(2) b = c


Statement 1: \(\frac{a}{c}=\frac{b}{c} => a=b\) (as \(c\) is positive so \(c≠0\))

Now if \(b=c\), then we have a Yes but if \(b≠c\) then we have a NO. Hence Insufficient

Statement 2: \(b=c\). Nothing mentioned about \(a\). if \(a=b\) then we have a Yes and if \(a≠b\) then we have a No. Hence Insufficient

Combining 1 & 2, we have \(a=b=c\). Hence we have a Yes. Sufficient

Option C
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Re: If a, b, and c are positive, is a =b^2/c ?  [#permalink]

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New post 24 Dec 2017, 13:42
Bunuel wrote:
If a, b, and c are positive, is a =b^2/c ?

(1) a/c = b/c
(2) b = c


(1) a/c = b/c, then \(a=bc/c\) -> \(a=b\); but we don't know what is \(c\), insufficient.

If a = b = 3 and c = 4, then \(a=b^2/c\) becomes: \(3=9/4\), answer to the question is no.
If a = b = 3 and c = 3, then \(a=b^2/c\) becomes: \(3=9/3=3\), answer to the question is yes.

(2) b = c. There is no info on what \(a\) could be, insufficient.

If a = 3 and b = c = 4, then \(a=b^2/c\) becomes: \(3=16/4\), answer to the question is no.
If a = 3 and b = c = 3, then \(a=b^2/c\) becomes: \(3=9/3=3\), answer to the question is yes.

(1)&(2): If \(a=b\) and \(c=b\); then, \(a=b^2/c\) becomes \(b=b^2/b\) which is \(b=b\), sufficient.

(C) is the answer.
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Re: If a, b, and c are positive, is a =b^2/c ?  [#permalink]

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New post 25 Jan 2018, 10:43
from st 1, we know a = b -> insufficient
from st 2, we know b = b^2 / b = b^2 / c -> insufficient
combine both of them, a =b^2/c
GMAT Club Bot
Re: If a, b, and c are positive, is a =b^2/c ? &nbs [#permalink] 25 Jan 2018, 10:43
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