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# If the ratio of boys to girls in a class is 5 to 3, which of the follo

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Math Expert
Joined: 02 Sep 2009
Posts: 55638
If the ratio of boys to girls in a class is 5 to 3, which of the follo  [#permalink]

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24 Dec 2018, 21:18
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Difficulty:

5% (low)

Question Stats:

97% (00:35) correct 3% (00:33) wrong based on 37 sessions

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If the ratio of boys to girls in a class is 5 to 3, which of the following could not be the number of students in the class?

A. 32
B. 36
C. 40
D. 48
E. 56

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Re: If the ratio of boys to girls in a class is 5 to 3, which of the follo  [#permalink]

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24 Dec 2018, 21:21
Ratio is 5x:3x.

Total is 8x. Only 36 is not a multiple of 8.

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Re: If the ratio of boys to girls in a class is 5 to 3, which of the follo  [#permalink]

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25 Dec 2018, 02:58
Bunuel wrote:
If the ratio of boys to girls in a class is 5 to 3, which of the following could not be the number of students in the class?

A. 32
B. 36
C. 40
D. 48
E. 56

we check by using relation
from given options only 36 wont be correct

IMO B
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Joined: 14 Feb 2016
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Re: If the ratio of boys to girls in a class is 5 to 3, which of the follo  [#permalink]

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26 Dec 2018, 16:04
We can exploit integer constraints here to deduce the right answer.
We can't have half a girl, or half a boy in class, so we need an integer.

Using the unknown multiplier rule:

3x + 5x = 8x = ?????

What answer choice is not divisible by 8?

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Re: If the ratio of boys to girls in a class is 5 to 3, which of the follo   [#permalink] 26 Dec 2018, 16:04
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