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Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

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1,060 questions · page 17 of 53

321. A sum of money becomes Rs.6690 after three years and Rs.10.035 after six years on compound interest. The sum 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 ÷…

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Correct answer: Rs.4460

322. A sum amounts to Rs. 2916 in 2 years and to Rs.3149.28 in 3 years at compound Interest. The sum is_________?

  • 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%.

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Correct answer: Rs.2500

323. A sum of money amounts to Rs. 10648 in 3years and Rs. 9680 in 2 years. The rate of interest is_________?

  • 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.

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Correct answer: 10 %

324. The difference between simple interest and compound interest at the same rate for Rs.5000 for 2 years is Rs. 72. The rate of interest is?

  • 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.

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Correct answer: 12 %

325. The compound interest on a certain sum of money for 2 years at 10 % per annum is Rs.420. The simple interest on the same sum at the same rate and for the same time will be_______?

  • 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.

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Correct answer: Rs. 400

326. The difference between the compound interest and the simple interest on a certain sum at 5 % per annum for 2 years is Rs. 1.50. The sum is_______?

  • 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.

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Correct answer: Rs.600

327. What is the principle amount which earns Rs.132 as compound interest for the second year at 10 % per annum?

  • 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.

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Correct answer: Rs. 1200

328. Rs. 800 at 5 % Per annum compound interest will amount to Rs. 882 in________?

  • 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.

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Correct answer: 2 years

329. Simple Interest on a sum at 4% per annum for 2 years is 80. The compound interest on the same sum for the same period is_________?

  • 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.

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Correct answer: Rs. 81.60

330. If Rs. 7500 are borrowed at C. I at the rate of 4 % per annum then after 2 years, the amount to be paid is_______?

  • 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.

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Correct answer: Rs. 8112

331. The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

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

Explanation: For 2 years, the difference is P(r/100)^2. Thus Rs.96 = Rs.15,000 x (r/100)^2, so (r/100)^2 = 0.0064 and r = 8% per annum.

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Correct answer: 8

332. A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?

  • A. Rs. 1620
  • B. Rs. 1640
  • C. Rs. 1680
  • D. Rs. 1700

Explanation: Discount each annual repayment to its present value: Rs.882 ÷ 1.05 = Rs.840 for the first repayment and Rs.882 ÷ (1.05)^2 = Rs.800 for the…

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Correct answer: Rs. 1640

333. The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is_________?

  • A. 3
  • B. 4
  • C. 5
  • D. 6Education

Explanation: At 20% compound interest, after 3 years the growth factor is (1.20)^3 = 1.728, which is less than 2.

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Correct answer: 4

334. A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?

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

Explanation: If the amount doubles in 5 years, it becomes 2 times the principal in each 5-year period.

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Correct answer: 15 years

335. A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is______?

  • A. 2 1/2 %
  • B. 4%
  • C. 5%
  • D. 6 2/3 %

Explanation: From the third to the fourth year, the amount rises from Rs.800 to Rs.840, so one year's interest is Rs.840 - Rs.800 = Rs.40.

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Correct answer: 5%

336. On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is________?

  • A. 10%
  • B. 10.5%
  • C. 12%
  • D. None of these

Explanation: The difference is Rs.696.30 - Rs.660 = Rs.36. For 2 years, the difference divided by the simple interest equals r/2, so r = 2 x Rs.36 ÷…

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Correct answer: None of these

337. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs. ) is_________?

  • A. 625
  • B. 630
  • C. 640
  • D. 650

Explanation: For 2 years at 4% per annum, the difference is P x (4/100)^2 = P x 0.0016.

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Correct answer: 625

338. There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?

  • A. Rs. 2160
  • B. Rs. 3120
  • C. Rs. 3972
  • D. Rs. 6240

Explanation: A 60% simple-interest increase in 6 years means the annual rate is 60% ÷ 6 = 10% per annum.

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Correct answer: Rs. 3972

339. (50 - ?/29)% of 4200 = 3√196

  • A. 1350
  • B. 1450
  • C. 1550
  • D. 1421

Explanation: Since 3√196 = 3 x 14 = 42, the equation becomes (50 - ?/29)% of 4200 = 42.

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Correct answer: 1421

340. 9000 + 16 2/3 % of ? = 10500

  • A. 1500
  • B. 1750
  • C. 9000
  • D. 7500

Explanation: The increase from 9000 to 10500 is 1500. Since 16 2/3% equals 1/6, the required number satisfies ?/6 = 1500, so ? = 1500 x 6 = 9000.

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Correct answer: 9000
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