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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, 20:55
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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.
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Joined: 02 Sep 2009
Posts: 47898
Re: Given that a and b are positive, is the ratio a:b greater than 5?  [#permalink]

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08 Jun 2010, 06:03
2
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, 19:54

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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Joined: 05 Mar 2015
Posts: 983
Re: Given that a and b are positive, is the ratio a:b greater than 5  [#permalink]

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13 Jan 2017, 08:17
HKD1710 wrote:
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

(1) a=5b+3
thus (5b+3)/b>5 ??
(5b+3-5b)/b>0
3/b>0

or any value of b a:b>5
suff

(2) 4a/5b>4
(4a-20b)/5b>0
as b is +ve
thus 4a>20b
a>5b
thus a/b>5
suff

Ans D
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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, 03:34
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Re: Given that a and b are positive, is the ratio a:b greater than 5? &nbs [#permalink] 16 Sep 2017, 03:34
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