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c/3 or a+b+c/3

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c/3 or a+b+c/3 [#permalink] New post   28 Oct 2020, 06:14
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92% (00:16) correct 7% (00:20) wrong based on 14 sessions

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Quantity A
Quantity B
\(\frac{c}{3}\)
\(\frac{ a+b+c}{3}\)



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions
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D
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Re: c/3 or a+b+c/3 [#permalink] New post   30 Oct 2020, 01:40
Since no base information is given then picking D is the best

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Re: c/3 or a+b+c/3 [#permalink] New post   30 Oct 2020, 13:53
The answer is D.
We need information about the sign of a+b. If it's positive, then B is greater. If is negative, then A is greater. If it's 0, then both quantities are equal.
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Re: c/3 or a+b+c/3 [#permalink] New post   03 Nov 2020, 06:28
1
Multiply both the quantities by 3 to get:

Qty A: c.
Qty B: a+b+c.

Subtract c from both the sides.

Qty A: 0.
Qty B: a+b.

If a is 0 and b is 0, then both the quantities are equal.

If a is 1 and b is 0, then Qty B is greater. Therefore D is the best choice.
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Re: c/3 or a+b+c/3 [#permalink]
03 Nov 2020, 06:28
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