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07 May 2018, 23:15
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E
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36%
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There are 15 boys and 12 girls in a class. Is the average weight of the entire class of these 27 students, greater than 40 Kg?
(1) Average weight of 15 boys is greater than 42 Kg.
(2) Average weight of 12 girls is lesser than 38 Kg.
(1) Average weight of 15 boys is greater than 42 Kg.
(2) Average weight of 12 girls is lesser than 38 Kg.
09 May 2018, 22:03
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amanvermagmat
Let the average weight of 15 boys be 'x' kg and let the average weight of 12 girls be 'y' kg. Then the average weight of entire class = (15x+12y) / 27. This answer will always be between x and y, and also will be slightly closer to x (since boys are higher in number than girls). We have to determine whether this answer is > 40 kg or not.
(1) x > 42. First of all this is not an exact value and secondly nothing is mentioned about y. Not sufficient.
(2) y < 38. Again not an exact value and nothing mentioned about x. Not sufficient.
Combining the two statements, we still dont know how far is x from 42 and how far is y from 38. So we cannot determine. Eg, if we take x=50 and y=30, then the average weight of class = (15*50+12*30)/27, which is greater than 40 kg. But if we take x=45 and y=30, then the average weight of class = (15*45+12*30)/27, which is lesser than 40 kg.
So the information is still not sufficient. Hence E answer
KanishkM
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07 Feb 2019, 21:17
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amanvermagmat
15 Boys 12 Girls, average > 40
from 1, no information about average weight for girls
from 2, no information about average weight for boys
Combination can give multiple values, since from 1 AW(boys) can be 100, which when added with AW(girls) can give a Yes
since from 1 AW(boys) can be 42, which when added with AW(girls) can give a No
E
