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Each of the 105 students in a certain club is either a

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Each of the 105 students in a certain club is either a

by AAPL » Sat Jan 05, 2019 7:56 am

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

1) The ratio of the number of freshmen to the number of sophomores is 1 to 2.
2) The ratio of the number of freshmen to the number of junior is 1 to 4.

OA C
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Sun Jan 06, 2019 11:38 pm

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AAPL wrote:GMAT Prep

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

1) The ratio of the number of freshmen to the number of sophomores is 1 to 2.
2) The ratio of the number of freshmen to the number of juniors is 1 to 4.

OA C
From the two statements, we know that the ratio of the number of freshmen to the number of sophomores to the number of juniors is 1 : 2 : 4

On ratio scale the total number of students = 1 + 2 + 4 = 7.

Thus, the number of sophomores = 2*(105/7) = 30. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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