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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codesnooker
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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!
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!
