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a and b are positive integers

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a and b are positive integers [#permalink] New post 14 Feb 2017, 09:06
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Question Stats:

83% (00:41) correct 16% (00:19) wrong based on 31 sessions


a and b are positive integers

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



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.
[Reveal] Spoiler: OA

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Re: a and b are positive integers [#permalink] New post 14 Feb 2017, 16:07
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Explanation

The best strategy here is to assume values of a and b.

Let a = 1 and b =2 .

Quantity A: \(\frac{1}{2}\)
Quantity B: \(\frac{1+3}{2+3}=\frac{4}{5}\)

Quantity B is greater.

Let a = 6 and b=3
Quantity A: \(\frac{6}{3}=2\)
Quantity B: \(\frac{6+3}{3+3}=\frac{3}{2}\)

Quantity A is greater.

Hence a relationship cannot be determined. Thus option D is correct.
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Re: a and b are positive integers [#permalink] New post 18 Feb 2017, 10:27
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sandy wrote:
Explanation

The best strategy here is to assume values of a and b.

Let a = 0 and b =1 .

Quantity A: \(\frac{0}{1}=0\)
Quantity B: \(\frac{0+3}{1+3}=\frac{3}{4}\)

Quantity B is greater.

Let a = 6 and b=3
Quantity A: \(\frac{6}{3}=2\)
Quantity B: \(\frac{6+3}{3+3}=\frac{3}{2}\)

Quantity A is greater.

Hence a relationship cannot be determined. Thus option D is correct.



Just wanted to say that 0 is not a positive integer. 0 is neither positive nor negative,
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Re: a and b are positive integers [#permalink] New post 19 Feb 2017, 03:24
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You are right. Changed it!

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Re: a and b are positive integers   [#permalink] 19 Feb 2017, 03:24
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