What percent of the children in the class are holding a

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by AAPL » Sat May 11, 2019 4:50 am

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What percent of the children in the class are holding a Popsicle?

1) Half of the girls in the class are holding a Popsicle.
2) Half of the boys in the class are holding a Popsicle.

OA C

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Source: Beat The GMAT — Data Sufficiency | Sat May 11, 2019 4:50 am

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Mon May 13, 2019 4:36 am

The answer is instantly C or E, since we'll need to know about both boys and girls. Using both statements, we have a standard weighted average situation. If k% of boys and m% of girls are holding a popsicle, then somewhere between k% and m% of the group as a whole is holding a popsicle, where the overall percentage will be closer to k% the more boys we have (as a fraction of the total). So somewhere between 50% and 50% of the group is holding a popsicle, and the answer must be 50%, so the answer is C.

If the two fractions were different here, the answer would be E, unless we had information about the ratio of boys to girls in the class (or any equivalent information).

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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