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m10, q17

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m10, q17 [#permalink] New post 06 Jul 2010, 18:51
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If among 20 students in a group, 5 study math, 10 study physics, and 6 study chemistry, are there any students who do not study any of the above-mentioned subjects?

1. There are no students studying all of the three subjects.
2. None of those who study math study chemistry.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Please can you help with the solution.
m10, q17   [#permalink] 06 Jul 2010, 18:51
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