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Prime Factor

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Prime Factor [#permalink] New post 08 Sep 2010, 21:22
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If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?

1. 10
2. 13
3. 18
4. 26
5. 50
[Reveal] Spoiler: OA

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Re: Prime Factor [#permalink] New post 08 Sep 2010, 21:31
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vigneshpandi wrote:
If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a?

1. 10
2. 13
3. 18
4. 26
5. 50


\frac{a}{b}=2.86=\frac{286}{100}=\frac{143}{50} --> b=\frac{50a}{143}=\frac{50a}{11*13}, for b to be an integer a must have all the factors of 143 (50 has none of them). Hence a must be divisible by both 11 and 13.

Answer: B.
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Re: Prime Factor   [#permalink] 08 Sep 2010, 21:31
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