What is the effective annual rate of interest corresponding to a nominal rate of 6% per annum compounded half-yearly? MCQ with Answer and Explanation

What is the effective annual rate of interest corresponding to a nominal rate of 6% per annum compounded half-yearly?
A. 6.06%
B. 6.09%
C. 6.12%
D. 6.15%
Answer: Option B
Solution (By JKSSB Mock Tests)
Effective rate = (1 + 0.03)² − 1 = 1.0609 − 1 = 0.0609 = 6.09%.

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Practice More Compound Interest Questions

Question #1
A sum of money at compound interest becomes 2.25 times in 2 years. The rate of interest is:
A. 50%
B. 45%
C. 55%
D. 40%

Correct Answer: Option A


Explanation:
(1+r)² = 2.25 ⇒ 1+r = 1.5 ⇒ r = 50%.

This question belongs to: Maths Compound Interest
Question #2
A sum of money at compound interest amounts to Rs. 16105 in 2 years and Rs. 17715.50 in 3 years. Find the sum.
A. Rs. 13000
B. Rs. 12500
C. Rs. 12000
D. Rs. 13310

Correct Answer: Option D


Explanation:
Rate = (17715.50/16105 − 1) × 100 = 10%. P = 16105 / 1.21 = 13310? 16105/1.21 = 13310 exactly. So answer D 13310.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a sum for 2 years at 12% is Rs. 381.60. The sum is:
A. Rs. 1700
B. Rs. 1400
C. Rs. 1500
D. Rs. 1600

Correct Answer: Option C


Explanation:
CI = P × 0.2544 = 381.60 ⇒ P = 1500.

This question belongs to: Maths Compound Interest