50 Aptitude Questions and Answers (With Explanations) Section 1: Quantitative Aptitude 1. What is the value of (3 + 5)² - (3 - 5)²? Solution: Using the identity: ( a + b ) 2 − ( a − b ) 2 = 4 a b ( a + b ) 2 − ( a − b ) 2 = 4 ab So, ( 3 + 5 ) 2 − ( 3 − 5 ) 2 = 4 × 3 × 5 = 60 ( 3 + 5 ) 2 − ( 3 − 5 ) 2 = 4 × 3 × 5 = 60 Answer: 60 2. A man can cover a distance in 2 hours at a speed of 60 km/hr. What is the distance? Solution: Distance = Speed × Time = 60 × 2 = 120 km Answer: 120 km 3. A train 120 meters long runs at 60 km/hr. How long will it take to cross a pole? Solution: Convert speed to m/s: 60 × 1000 3600 = 16.67 m / s 60 × 3600 1000 = 16.67 m / s Time = Distance / Speed = 120 / 16.67 ≈ 7.2 seconds Answer: 7.2 seconds 4. Simplify: 2 3 + 4 5 3 2 + 5 4 Solution: LCM of 3 and 5 = 15 2 × 5 + 4 × 3 15 = 10 + 12 15 = 22 15 15 2 × 5 + 4 × 3 = 15 10 + 12 = 15 22 Answer: 22 15 15 22 5. A shopkeeper gives a 20% discount o...