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

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shekar123
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Given that a and b are positive, is the ratio a:b greater than 5? [#permalink] New post   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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Bunuel
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Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink] New post   08 Jun 2010, 06:03
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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.

Answer: D.
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shekar123
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Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink] New post   09 Jun 2010, 19:54
Great answer..Thanks


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.

Answer: D.
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rohit8865
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Re: Given that a and b are positive, is the ratio a:b greater than 5 [#permalink] New post   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] New post   16 Nov 2023, 03:18
Hello from the GMAT Club BumpBot!

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Re: Given that a and b are positive, is the ratio a:b greater than 5? [#permalink]
16 Nov 2023, 03:18
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