Banking Exam Quantitative Aptitude 3 — Questions and Answers
Question 1: A train 200 m long passes a pole in 10 seconds. How long will it take to pass a platform 300 m long?
- 15 seconds
- 20 seconds
- 25 seconds (Correct answer)
- 30 seconds
Correct answer: 25 seconds
Speed = 200/10 = 20 m/s; time to pass platform = (200+300)/20 = 25 seconds.
Question 2: What is the compound interest on $5,000 at 10% per annum for 2 years, compounded annually?
- $1,000
- $1,025
- $1,050 (Correct answer)
- $1,100
Correct answer: $1,050
Amount = 5000 × (1.1)² = 6,050; CI = 6,050 − 5,000 = $1,050.
Question 3: Two numbers are in the ratio 4:7. If 6 is subtracted from each, the ratio becomes 2:5. Find the larger number.
- 21
- 28
- 35 (Correct answer)
- 42
Correct answer: 35
Let numbers be 4x and 7x; (4x−6)/(7x−6) = 2/5 → x = 5; larger = 7×5 = 35.
Question 4: A man rows upstream at 6 km/h and downstream at 10 km/h. What is the speed of the current?
- 2 km/h (Correct answer)
- 4 km/h
- 8 km/h
- 16 km/h
Correct answer: 2 km/h
Speed of current = (downstream − upstream) / 2 = (10 − 6) / 2 = 2 km/h.
Question 5: Find the missing term in the series: 2, 6, 12, 20, 30, ?
- 36
- 40
- 42 (Correct answer)
- 44
Correct answer: 42
Differences are 4, 6, 8, 10, 12; next term = 30 + 12 = 42.
Question 6: A bank account earns 6% per annum compounded semi-annually. What is the effective annual rate?
- 6.00%
- 6.09% (Correct answer)
- 6.18%
- 6.25%
Correct answer: 6.09%
EAR = (1 + 0.06/2)² − 1 = (1.03)² − 1 = 0.0609 = 6.09%.
Question 7: If a : b = 2 : 3 and b : c = 4 : 5, what is a : b : c?
- 8:12:15 (Correct answer)
- 2:3:5
- 4:6:5
- 6:9:15
Correct answer: 8:12:15
Scale b to common: a:b = 8:12, b:c = 12:15; combined ratio a:b:c = 8:12:15.
Banking Exam Quantitative Aptitude 3
A train 200 m long passes a pole in 10 seconds.
How long will it take to pass a platform 300 m long?