# Percentages - Sets : XAT 2016 / TANCET 2018 Sample Question

## Question

30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?

- 15%
- 20%
- 80%
- 70%

#### Correct Answer

**80%**. Choice (3)

#### Explanatory Answers

20% of the men are above the age of 50 years. 20% of these men play football. Therefore, 20% of 20% of 4% of the total men are football players above the age of 50 years.

20% of the men are football players. Therefore, 16% of the men are football players below the age of 50 years.

Therefore, the % of men who are football players and below the age of 50 =

= 80%

Correct Answer (3)

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