Banking Exam Quantitative Aptitude 5 — Questions and Answers
Question 1: If x + y = 10 and xy = 21, what is the value of x² + y²?
- 58 (Correct answer)
- 79
- 100
- 121
Correct answer: 58
x² + y² = (x+y)² − 2xy = 100 − 42 = 58.
Question 2: A retailer buys goods at a 20% discount and sells them at the original marked price. What is the profit percentage?
- 20%
- 22%
- 25% (Correct answer)
- 28%
Correct answer: 25%
CP = 0.8 × MP; profit% = (MP − 0.8MP) / 0.8MP × 100 = 0.2/0.8 × 100 = 25%.
Question 3: A bank charges 2% per month on a credit card balance. What is the approximate annual interest rate (compounded monthly)?
- 24.0%
- 26.8% (Correct answer)
- 26.0%
- 28.0%
Correct answer: 26.8%
EAR = (1.02)^12 − 1 ≈ 1.2682 − 1 = 26.82% ≈ 26.8%.
Question 4: Two trains 120 m and 180 m long travel towards each other at 60 km/h and 90 km/h. How long do they take to cross each other?
- 4.8 seconds
- 6 seconds
- 7.2 seconds (Correct answer)
- 8 seconds
Correct answer: 7.2 seconds
Relative speed = 150 km/h = 41.67 m/s; time = 300/41.67 ≈ 7.2 seconds.
Question 5: What is 35% of 480?
- 148
- 158
- 168 (Correct answer)
- 178
Correct answer: 168
35% of 480 = 0.35 × 480 = 168.
Question 6: The mean of 5 numbers is 18. If one number is excluded the mean becomes 16. What is the excluded number?
- 22
- 24
- 26 (Correct answer)
- 28
Correct answer: 26
Total = 5×18 = 90; remaining 4 total = 4×16 = 64; excluded = 90 − 64 = 26.
Question 7: A bag contains 5 red, 4 blue, and 3 green balls. One ball is drawn at random. What is the probability it is NOT red?
- 5/12
- 7/12 (Correct answer)
- 1/3
- 2/3
Correct answer: 7/12
Non-red balls = 4 + 3 = 7; probability = 7/12.
Banking Exam Quantitative Aptitude 5
If x + y = 10 and xy = 21, what is the value of x² + y²?