question_answer

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]

A) 40%                             

B) 49%

C) 57%     

D) 59%

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

\[=25%+12%+20%=57%\]