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% $