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

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Manager
Joined: 31 Mar 2006
Posts: 162

Kudos [?]: 25 [0], given: 0

At least 100 students at a high school study Japanese. If 4% [#permalink]

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27 Jun 2006, 03:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.

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Manager
Joined: 01 Jun 2006
Posts: 139

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27 Jun 2006, 04:14
[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.

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

Kudos [?]: 6 [0], given: 0

SVP
Joined: 30 Mar 2006
Posts: 1728

Kudos [?]: 98 [0], given: 0

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27 Jun 2006, 04:26
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

Kudos [?]: 98 [0], given: 0

27 Jun 2006, 04:26
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