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# Given that a and b are positive, is the ratio a:b greater than 5?

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Intern
Joined: 27 Sep 2009
Posts: 40
Given that a and b are positive, is the ratio a:b greater than 5? [#permalink]

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07 Jun 2010, 19:55
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66% (01:08) correct 34% (01:15) wrong based on 50 sessions

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Given that a and b are positive, is the ratio a:b greater than 5?

(1) a is 3 more than 5 times b.
(2) The ratio of 4a to 5b is greater than 4.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 43894
Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink]

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08 Jun 2010, 05:03
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shekar123 wrote:
2. Given that a and b are positive, is the ratio a:b greater than 5?

(1) a is 3 more than 5 times b.
(2) The ratio of 4a to 5b is greater than 4.

Given: $$a>0$$ and $$b>0$$. Q: is $$\frac{a}{b}>5$$, or which is the same (as $$b>0$$): is $$a>5b$$?

(1) $$a$$ is 3 more than 5 times $$b$$ --> $$a=5b+3$$. Sufficient.

(2) The ratio of $$4a$$ to $$5b$$ is greater than 4 --> $$\frac{4a}{5b}>4$$ --> $$\frac{a}{b}>5$$. Sufficient.

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Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink]

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09 Jun 2010, 18:54

Bunuel wrote:
shekar123 wrote:
2. Given that a and b are positive, is the ratio a:b greater than 5?

(1) a is 3 more than 5 times b.
(2) The ratio of 4a to 5b is greater than 4.

Given: $$a>0$$ and $$b>0$$. Q: is $$\frac{a}{b}>5$$, or which is the same (as $$b>0$$): is $$a>5b$$?

(1) $$a$$ is 3 more than 5 times $$b$$ --> $$a=5b+3$$. Sufficient.

(2) The ratio of $$4a$$ to $$5b$$ is greater than 4 --> $$\frac{4a}{5b}>4$$ --> $$\frac{a}{b}>5$$. Sufficient.

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Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink]

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16 Sep 2017, 02:34
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Re: Given that a and b are positive, is the ratio a:b greater than 5?   [#permalink] 16 Sep 2017, 02:34
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