Question

# Read the following information carefully and answer the questions given below it. There are 2000 employees in an institution in which males and females are in the ratio 3 : 2. The employees of the institution like yoga, gymnasium and meditation. The employees use either bus or car for the journey. 75% of all male employees use buses for journey, and the remaining use cars. Of the employees using bus, 20% of these employees like yoga. 15% of these male employees like both meditation and yoga. 12% of these male employees like both gymnasium and meditation. 8% of these male employees like all three - yoga, gymnasium and meditation. Of the male employees travelling by cars, 16% like meditation. 18% of employees  like both meditation and yoga, 15% like both gymnasium  and meditation and 10% of male employees using cars like all three - yoga, meditation and gymnasium. Of all the female employees , 80% females use buses and the remaining use cars. Of the females using bus, 20% like yoga, 15% like both meditation and yoga, 10% females like both yoga and gymnasium and 5% of females like all three - yoga, gymnasium and meditation. Of the female employees using cars for travel. 15% females like meditation, 25% females like both yoga and meditation, 5% females like both gymnasium and yoga and 10% females like all three - yoga, meditation and gymnasium. How many females in the instituion like meditation and yoga both? 125 115 110 120 None of these

Solution

## The correct option is D 120 Females who like both meditation and yoga ⇒640×15100+160×15100 =96+24=120

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