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

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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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New post 11 Dec 2016, 22:27
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39% (01:41) correct 61% (02:08) wrong based on 73 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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Is the number of the boys in the class is more than the number of the  [#permalink]

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New post 12 Dec 2016, 02:30
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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.


Please give Kudos if you like the question :)


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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