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