All Free Mathematics MCQs with Answers

• A. Rs 6500
• B. Rs 6565
• C. Rs 65065
• D. Rs 65650

Explanation: For 2 years at 10%, the difference between compound and simple interest is P x (10/100)^2 = 0.01P. Thus, 65 Rs = 0.01P, so P = 6,500 Rs.

• A. Rs 230
• B. Rs 232
• C. Rs 600
• D. Rs 832

Explanation: The first man's simple interest is 6,000 Rs x 5% x 2 = 600 Rs. The second man's compound interest is 5,000 Rs x (1.08)^2 - 5,000 Rs = 832…

• A. Rs 4500
• B. Rs 5000
• C. Rs 5500
• D. Rs 6000

Explanation: The lender earns an effective annual rate of (1.03)^2 - 1 = 6.09% on the money lent, while paying 4% annually, so the net gain is 2.09% of…

• A. Rs 1575.20
• B. Rs 1600
• C. Rs 1625.80
• D. Rs 2000

Explanation: The amount after the three different annual rates is 10,000 Rs x 1.04 x 1.05 x 1.06 = 11,575.20 Rs.

• A. 7 years
• B. 10 years
• C. 15 years
• D. 20 years

Explanation: If the amount doubles in 5 years, it becomes four times in 10 years and eight times, which is 2^3, in 15 years.

• A. Rs 2518
• B. Rs 2520
• C. Rs 2522
• D. Rs 2524

Explanation: Nine months contain three quarterly periods, and the rate per quarter is 20% / 4 = 5%.

• A. Rs 17423
• B. Rs 18973
• C. Rs 19448
• D. Rs 19880

Explanation: At 10% annually compounded half-yearly, the rate per half-year is 5%, and 2 years contain 4 periods.

• A. Rs 230
• B. Rs 232
• C. Rs 600
• D. Rs 832

Explanation: A's simple interest is 6,000 Rs x 5% x 2 = 600 Rs. B's compound interest is 5,000 Rs x [(1.08)^2 - 1] = 832 Rs, so the difference is 832…

• A. Rs 50
• B. Rs 60
• C. Rs 61
• D. Rs 600

Explanation: The simple interest is 8,000 Rs x 5% x 3 = 1,200 Rs. The compound interest is 8,000 Rs x [(1.05)^3 - 1] = 1,261 Rs, so the difference is…

• A. Rs 145
• B. Rs 150
• C. Rs 165
• D. Rs 180
• E. None of these

Explanation: The simple interest is 5,000 Rs x 10% x 3 = 1,500 Rs. The compound interest is 5,000 Rs x [(1.10)^3 - 1] = 1,655 Rs, so the difference is…

• A. Rs.4400
• B. Rs.4445
• C. Rs.4460
• D. Rs.4520

Explanation: For compound interest, the six-year amount divided by the three-year amount gives the growth factor for the next 3 years: Rs.10,035 ÷…

• A. Rs.1500
• B. Rs.2000
• C. Rs.2500
• D. Rs.3000

Explanation: The one-year compound growth factor is Rs.3,149.28 ÷ Rs.2,916 = 1.08, so the annual rate is 8%.

• A. 5 %
• B. 10 %
• C. 15 %
• D. 20 %

Explanation: The amount grows from Rs.9,680 after 2 years to Rs.10,648 after 3 years, so the one-year factor is Rs.10,648 ÷ Rs.9,680 = 1.10.

• A. 10 %
• B. 12 %
• C. 6 %
• D. 8 %Quiz Mode Feature

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

• A. Rs.350
• B. Rs.375
• C. Rs. 380
• D. Rs. 400

Explanation: For 2 years at 10% per annum, compound interest is P[(1.10)^2 - 1] = P x 0.21.

• A. Rs.600
• B. Rs.500
• C. Rs.400
• D. Rs.300

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

• A. Rs. 1000
• B. Rs. 1200
• C. Rs. 1320
• D. None of these

Explanation: The interest earned during the second year is 10% of the amount after the first year, which is P x 1.10.

• A. 1 Year
• B. 2 years
• C. 3 Years
• D. 4 Years

Explanation: After 2 years, the compound amount is Rs.800 x (1.05)^2 = Rs.800 x 1.1025 = Rs.882. Therefore, the required time is 2 years.

• A. Rs. 81.60
• B. Rs. 160
• C. Rs. 1081.60
• D. None of these

Explanation: Simple interest Rs.80 = P x 4% x 2 years, so P = Rs.80 ÷ 0.08 = Rs.1,000.

• A. Rs. 8082
• B. Rs. 7800
• C. Rs. 8100
• D. Rs. 8112

Explanation: The amount after 2 years is Rs.7,500 x (1.04)^2 = Rs.7,500 x 1.0816 = Rs.8,112.