There are 42 students in a group. If each student is either a freshmen or a senior, how many of the students are seniors?
(1) The group has more than four times as many seniors as it has freshmen.
(2) The group has more than 7 freshmen.
freshmen or a senior
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S + F = 42
stmt 1 says that S > 4F. We get many possibilities
stmt 2 says that F > 7. Again, we get many possibilities
1 & 2 Let pick numbers. If F = 8, S > 32. S can be 33 or 34. Since total need to be 42, S must be 34.
Hence C.
Edited.
stmt 1 says that S > 4F. We get many possibilities
stmt 2 says that F > 7. Again, we get many possibilities
1 & 2 Let pick numbers. If F = 8, S > 32. S can be 33 or 34. Since total need to be 42, S must be 34.
Hence C.
Edited.
Last edited by crackgmat007 on Tue Sep 29, 2009 8:09 pm, edited 1 time in total.
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Not clear.
If x=freshman,then from stmt 1 we get seniors=5x,6x,7x,8x...as more than four times is mentioned.
Stmt 2 insuff..
Combining,
6x=42, x=7 stmt 2 says more than 7 freshmen so not poss.
7x=42,x=6 which is again not greater than 7
I am messing it up..could u pls pt out my mistake?
If x=freshman,then from stmt 1 we get seniors=5x,6x,7x,8x...as more than four times is mentioned.
Stmt 2 insuff..
Combining,
6x=42, x=7 stmt 2 says more than 7 freshmen so not poss.
7x=42,x=6 which is again not greater than 7
I am messing it up..could u pls pt out my mistake?
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For both statements togethercrackgmat007 wrote:S + F = 42
stmt 1 says that S > 4F. We get many possibilities
stmt 2 says that F > 7. Again, we get many possibilities
1 & 2 Let pick numbers. If F = 8, S > 32. S can be any number greater than 32. If F = 9, S > 36.
Hence E.
You missed out on the fact that S+F =42.
If F=9 => S> 36 => S+F > 45... not possible,
so we are left with F= 8 and S =34.
So, choice C
MS
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This is creating problems.uptowngirl92 wrote: 6x=42
Actually, question gives 3 equations
From question stem S + X = 42
Stmt 1 - S > 4X
Stmt 2 - X > 7
Continuing your working, X must be > 7 (stmt 2). Let X be 8. Stmt 1 says that S > 4X. Plugging in 8, we get S > 32. Now refer to the equation (hiding) in the question. S + X = 42
HTH