Quantitative Aptitude Ques 2277
Question: In a survey, it was found that 55% go for jogging, 50% do yoga, 42% do aerobics, 28% do jogging and yoga, 20% do yoga and aerobics, 12% go for jogging and aerobics and 10% do all three. If each one of them go for at least one of these, then what percentage do exactly one exercise? [FCI (Assistant) Grade III 2015]
Options:
A) 40%
B) 49%
C) 57%
D) 59%
Show Answer
Answer:
Correct Answer: C
Solution:
- By Venn diagram,
Person doing only Jogging
$ =55-28-12+10=25% $
Person doing only Yoga
$ =50-28-20+10=12% $
Person doing only Aerobics
$ =42-12-20+10=20% $
$ \therefore $ Percentage of person do exactly one exercise
$ =25%+12%+20%=57% $