Exams › IBPS PO › Quantitative Aptitude
There are 300 students in a college, each participating in different sports: chess, cricket, and volleyball. The number of students who play only chess is twice the number of students who play only chess and volleyball. The number of students who play only chess and volleyball is 20% less than the number of students who play only chess and cricket. 10% of the total students play all three sports, and this number is exactly half of the number of students who play only cricket. The number of students who play only volleyball is equal to the number of students who play only cricket and volleyball. The number of students who play only volleyball and the number of students who play only cricket and volleyball both is the same, which is \(\frac{2}{30}\) of the total student population. Find: Students playing only cricket is what percent more/less than the students playing only cricket and chess together?
- 20%
- 25%
- 30%
- 12%
Correct answer: 20%
Solution
Use the given relations among the Venn diagram regions. Since 10% of 300 play all three sports, that region is 30, and it is half of only-cricket, so only-cricket is 60. The only-chess-and-cricket group comes out to 50, so only-cricket is 20% more than that group.
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