2016 · Q45
In an office, 40% of the employees are men and the rest women. Half of the employees are tall and half short. If 10% of the employees are men and short, and 40 employees are women and tall, the number of tall men employees is
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A60
- B50
- C40
- D30
Explanation
Let total staff be X. Men = 0.4X; tall = 0.5X; men-and-short = 0.1X, so tall men = 0.4X − 0.1X = 0.3X. Tall women = 40 = tall total − tall men = 0.5X − 0.3X = 0.2X, giving X = 200. Tall men = 0.3 × 200 = 60. Hence (A).