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 15 of 53
- A. 18% p.a.
- B. 22% p.a.
- C. 20% p.a.
- D. 24% p.a.
- E. None of these.
Explanation: The third year's compound interest equals the second year's interest multiplied by 1 + r, because the second-year interest also earns…
Correct answer: 20% p.a.- A. Rs.4273
- B. Rs.4613
- C. Rs.4064
- D. Rs.4266
- E. None of these
Explanation: The two-year compound interest is Rs. 14,800 x [(1.135)^2 - 1] = Rs. 14,800 x 0.288225 = Rs. 4,265.73.
Correct answer: Rs.4266- A. Rs.18,828.80
- B. Rs.19,828.80
- C. Rs.18,028.80
- D. Rs.17,828.80
- E. None of these
Explanation: For two years at 8%, compound interest is P x [(1.08)^2 - 1] = P x 0.1664. Therefore P = Rs. 2,828.80/0.1664 = Rs.
Correct answer: Rs.19,828.80- A. Rs.460
- B. Rs.5640
- C. Rs.5460
- D. Rs.5604
Explanation: The first year's balance is Rs. 5,000 x 1.04 = Rs. 5,200. Applying the second year's 5% rate gives Rs. 5,200 x 1.05 = Rs.
Correct answer: Rs.5460- A. 10
- B. 11
- C. 10.25
- D. 10.15
Explanation: The total annual increase is 4% + 1% = 5%. Over 2 years, the population becomes 1.05 x 1.05 = 1.1025 of the original, so the percentage…
Correct answer: 10.25- A. Rs.150
- B. Rs.140
- C. Rs.130
- D. Data insufficient for the answer
Explanation: The simple-interest amount gives P(1 + 2r) = Rs.1344, but both the principal P and rate r are unknown.
Correct answer: Data insufficient for the answer- A. Rs.2205
- B. Rs.2200
- C. Rs.2160
- D. Rs.2040
Explanation: For quarterly compounding, the 20% annual rate becomes 20%/4 = 5% per quarter, and 6 months contains 2 quarters.
Correct answer: Rs.2205- A. Rs.482
- B. Rs.424
- C. Rs.842
- D. Rs.512
Explanation: With half-yearly compounding, Amount = Rs.20000 x 1.10⁴ = Rs.29282, while yearly compounding gives Rs.20000 x 1.20² = Rs.28800.
Correct answer: Rs.482- A. 8500
- B. 8000
- C. 8100
- D. 8400Downloading Interactive Party Trivia Games
Explanation: Let the initial population be P. After a 10% increase and then a 10% decrease, it becomes P x 1.10 x 0.90 = 0.99P, so 0.99P = 7920 and P =…
Correct answer: 8000- A. Rs.10
- B. Rs.2
- C. Rs.5
- D. Rs.3
Explanation: For 2 years, the compound-interest excess over simple interest is P x r² = Rs.1250 x (0.04)² = Rs.1250 x 0.0016 = Rs.2.
Correct answer: Rs.2- 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.
Correct answer: Rs.635.50- 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.
Correct answer: Rs.81000293. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
- 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.
Correct answer: Rs.9261- 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.
Correct answer: Rs.8000- 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.
Correct answer: Rs.3600- 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.
Correct answer: 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.
Correct answer: Rs.13500- 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.
Correct answer: 12%- 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…
Correct answer: 4 years- 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.
Correct answer: Rs.25600.24