OEYou are given that 20% of the students are in the science club, 30% are in the band, and 25% are in the band but are not in the science club. You need to determine what percent of the students who are in the science club are not in the band. The information can be represented in a Venn diagram as follows.

From the Venn Diagram, you can see that the 30% who are in the band consists of 25% who are in the band but not in the science club, and 5% who are in both the band and the science club. Ten you can see that the 20% who are in the science club consists of 5% who are in both the science club and the band, and 15% who are in the science club but not in the band, as shown in the revised Venn diagram below.

Thus \(\frac{15}{20}\)(100%), or 75%, of the students in the science club are not in the band.
The correct answer is Choice E.Attachment:
GMAT-Club-Forum-lyrivwi1.png [ 37.99 KiB | Viewed 69 times ]
Attachment:
GMAT-Club-Forum-3kt1ral8.png [ 40.08 KiB | Viewed 69 times ]