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# Is the number of the boys in the class is more than the number of the

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Senior Manager
Joined: 21 Aug 2016
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Is the number of the boys in the class is more than the number of the  [#permalink]

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11 Dec 2016, 21:27
3
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Difficulty:

85% (hard)

Question Stats:

39% (01:48) correct 61% (02:09) wrong based on 83 sessions

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Is the number of the boys in the class is more than the number of the girls?

1. The Ratio of the number of boys to the total number of students is more than the ratio of the total number of the girls to the total number of boys.

2. The ratio of the number of boys to the number of girls in the class is more than the ratio of the number of the girls to the number of the students in the class.

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Math Expert
Joined: 02 Aug 2009
Posts: 7106
Is the number of the boys in the class is more than the number of the  [#permalink]

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12 Dec 2016, 01:30
3
AR15J wrote:
Is the number of the boys in the class is more than the number of the girls?

1. The Ratio of the number of boys to the total number of students is more than the ratio of the total number of the girls to the total number of boys.

2. The ratio of the number of boys to the number of girls in the class is more than the ratio of the number of the girls to the number of the students in the class.

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Is b>g?

1) $$\frac{b}{b+g}>\frac{g}{b}$$..
Since b and g are positive, cross multiply..
$$(b+g)*g<b*b$$..
$$bg+g^2<b^2........bg<b^2-g^2$$...
Now b* g is positive, so b^2-g^2 will be positive or b>g
Suff

2) $$\frac{g}{b+g}<\frac{b}{g}$$..
Since b and g are positive, cross multiply..
$$[(b+g)*b>g*g$$..
$$bg+b^2>g^2........-bg<b^2-g^2$$...
So b^2-g^2 is greater than a negative number,-bg..
So it can be both +ive and -ive
Insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Is the number of the boys in the class is more than the number of the  [#permalink]

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02 Sep 2018, 10:26
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Re: Is the number of the boys in the class is more than the number of the &nbs [#permalink] 02 Sep 2018, 10:26
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# Is the number of the boys in the class is more than the number of the

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