GMAT Prep2 (Class) ??

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dferm: Master | Next Rank: 500 Posts; Posts: 446; Joined: Thu Jul 26, 2007 1:07 pm; Thanked: 6 times

by dferm » Wed May 14, 2008 3:50 pm

Each of the 105 students in a certain club is either a freshman, a sophomore, or a junior. How many of the students in the club are sophomores?

(1) The ratio of the number of freshman to the number of sophomores is 1 to 2

(2) The ratio of the number of freshman to the number of juniors is 1 to 4

Please Help..

Thanks.

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Source: Beat The GMAT — Data Sufficiency | Wed May 14, 2008 3:50 pm

codesnooker: Legendary Member; Posts: 543; Joined: Fri Jan 18, 2008 1:01 am; Thanked: 43 times; GMAT Score:580

by codesnooker » Wed May 14, 2008 6:20 pm

Answer is (C)

Total Student = 105

Condition 1: F:S = 1:2 (alone not sufficient, as does not tell about Juniors)
Condition 2: F:J = 1:4 (alone not sufficient, as does not tell about Sophomore)

When you take both the conditions together, you have a relationship between F and S and J

F:S:J = 1:2:4

and you know the total number of students, so you can calculate the values F, S, & J (In real GMAT, you need not to calculate as it is DS question).

Hence (C) is the answer.

PS: I have seen most of the DS questions of GMAT can be solved without even touching the pen, the above one is just an example of such category.

Have Fun!

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