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 employees (males and females) of the institution like all three - yoga, meditation and gymnasium?
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 employees (males and females) of the institution like all three - yoga, meditation and gymnasium?
The correct option is A 150
Total number of males in the institution
⇒35×2000=1200
Males who travel by buses
⇒75×1200100=900
Males who travel by cars
⇒1200−900=300
Males who like all three - yoga,meditation and gymnasium
⇒8×900100+300×10100
=72+30=102
Similarly,
Females in the institution=800
=800×80100=640
Females who travel by cars
=800−640=160
Females who like all three - yoga, meditation and gymnasium
5×640100+10×160100
32+16=48
Required answer = 102+48
=150
150
Total number of males in the institution
⇒35×2000=1200
Males who travel by buses
⇒75×1200100=900
Males who travel by cars
⇒1200−900=300
Males who like all three - yoga,meditation and gymnasium
⇒8×900100+300×10100
=72+30=102
Similarly,
Females in the institution=800
=800×80100=640
Females who travel by cars
=800−640=160
Females who like all three - yoga, meditation and gymnasium
5×640100+10×160100
32+16=48
Required answer = 102+48
=150
