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At least 100 students at a high school study Japanese. If 4%

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At least 100 students at a high school study Japanese. If 4% [#permalink] New post 27 Jun 2006, 02:50
At least 100 students at a high school study Japanese. If 4% of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?
1) 16 students at the school study both French and Japanese
2) 10% of the students at the school who study Japanese also study French.


Please explain
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Re: Set Theory [#permalink] New post 27 Jun 2006, 03:14
[quote="amansingla4"]At least 100 students at a high school study Japanese. If 4% of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?
1) 16 students at the school study both French and Japanese
2) 10% of the students at the school who study Japanese also study French.


Please explain[/quote]

B it is
(1) is insufficient because we have no idea about how many students study Japanese
(2) 4%F = 10%J => F>J
2 alone is sufficient
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 [#permalink] New post 27 Jun 2006, 03:26
1) Let number of students studying French be X
Hence 4% of X = 16
Then X = 400
But we dont know how many students study Japaneses. Hence Insuff

2) Let the number of students studying Japanese be Y

10% Y = 4% X

Y./10 = X/25
Hence suff

Therefore B
  [#permalink] 27 Jun 2006, 03:26
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At least 100 students at a high school study Japanese. If 4%

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