All Free Mathematics MCQs with Answers

• A. Rs.635.50
• B. Rs.613.50
• C. Rs.675.50
• D. Rs.653.50

Explanation: After 2 years, the debt is Rs.4000 x 1.05² = Rs.4410; after repaying Rs.2210, Rs.2200 remains.

• A. Rs.81000
• B. Rs.80000
• C. Rs.75000
• D. Rs.64000

Explanation: An increase by 1/8 means each year the amount is multiplied by 1 + 1/8 = 9/8.

• A. Rs.1261
• B. Rs.9261
• C. Rs.9621
• D. Rs.9162

Explanation: Quarterly compounding makes the rate 20%/4 = 5% per quarter, and 9 months contains 3 quarters.

• A. Rs.8000
• B. Rs.8400
• C. Rs.7500
• D. None

Explanation: The amount grows from Rs.8820 in year 2 to Rs.9261 in year 3, so the one-year growth factor is Rs.9261/Rs.8820 = 1.05, giving a 5% rate.

• A. Rs.3000
• B. Rs.3300
• C. Rs.3600
• D. Rs.3900

Explanation: For 2 years, the difference between compound interest and simple interest is P x r².

• A. 1500
• B. 1800
• C. 2100
• D. 1950

Explanation: For 2 years at 10% per annum, the compound-interest excess is P x (0.10)² = 0.01P. Hence Rs.15 = 0.01P, giving P = Rs.1500.

• A. Rs.12000
• B. Rs.14200
• C. Rs.17520
• D. Rs.13500

Explanation: The rate 6 2/3% equals 1/15 per year. For 3 years, the compound-interest excess is P[3r² + r³] = P[3(1/15)² + (1/15)³] = P x 46/3375.

• A. 10%
• B. 12%
• C. 6%
• D. 8%Fun & Trivia

Explanation: For 2 years, the difference between compound and simple interest is P x r².

• A. 6 years
• B. 1 year
• C. 2 years
• D. 4 years

Explanation: At 25% compound interest, the amount after n years is P x 1.25ⁿ. After 3 years it is P x 1.25³ = 1.953125P, which is less than double…

• A. Rs.25600.24
• B. Rs.32000.50
• C. Rs.18060.36
• D. Rs.18600

Explanation: A yearly decrease of 6 1/4% means the value retains 93 3/4% = 15/16 each year.

• A. Rs.420
• B. Rs.400
• C. Rs.375
• D. Rs.380

Explanation: At 5% compound interest for 2 years, the amount is P x 1.05² = 1.1025P. Hence 1.1025P = Rs.441, so P = Rs.441/1.1025 = Rs.400.

• A. 15%
• B. 10%
• C. 7 1/2 %
• D. 8%

Explanation: The amount increases from Rs.2420 after 2 years to Rs.2662 after 3 years, so the one-year growth factor is Rs.2662/Rs.2420 = 1.10.

• A. 1875/2029
• B. 1/2.5
• C. 1903/2156
• D. 4/9

Explanation: For a principal P at 8% for 3 years, simple interest is P x 0.08 x 3 = 0.24P, while compound interest is P[(1.08)³ - 1] = P x 0.259712.

• A. 8
• B. 10
• C. 12
• D. Cannot be determined

Explanation: For 2 years, the difference between compound interest and simple interest is P x (r/100)^2.

• A. Rs. 2.50
• B. Rs. 3
• C. Rs. 3.75
• D. Rs. 4

Explanation: The simple interest for 1 year is 1,200 Rs x 10% = 120 Rs. With half-yearly compounding, the rate per half-year is 5%, so compound…

• A. Rs. 51.25
• B. Rs. 52
• C. Rs. 54.25
• D. Rs. 60

Explanation: From simple interest, 50 Rs = P x 5% x 2, giving P = 500 Rs. Compound interest is 500 Rs x (1.05)^2 - 500 Rs = 51.25 Rs.

• A. Rs. 1550
• B. Rs. 1650
• C. Rs. 1750
• D. Rs. 2000

Explanation: The compound interest on 4,000 Rs for 2 years is 4,000 Rs x (1.10)^2 - 4,000 Rs = 840 Rs, and half of this is 420 Rs.

• A. 6%
• B. 8%
• C. 10%
• D. 12%

Explanation: For 2 years, the difference is P x (r/100)^2. Hence, 72 Rs = 5,000 Rs x (r/100)^2, giving r^2 = 144 and r = 12%.

• A. 5%
• B. 6%
• C. 10%
• D. 15%

Explanation: The growth factor over 2 years is 24,200 Rs / 20,000 Rs = 1.21. Therefore, (1 + r)^2 = 1.21, so 1 + r = 1.10 and r = 10% per year.

• A. Rs 6.06%
• B. Rs 6.07%
• C. Rs 6.08%
• D. Rs 6.09%

Explanation: A nominal rate of 6% payable half-yearly gives 3% per half-year, with two periods in one year.