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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 30 of 53

581. A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?

  • A. 120
  • B. 180
  • C. 200
  • D. 280

Explanation: A contributes 80 cows x 7 months = 560 cow-months. B must contribute one and a half times this amount, or 560 cow-months x 3/2 = 840…

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Correct answer: 280

582. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?

  • A. Rs.7500
  • B. Rs.7200
  • C. Rs.6000
  • D. Rs.5750

Explanation: Let A's capital be Rs.x. A contributes Rs.x x 12 months = Rs.12x-months, B contributes Rs.2x x 6 months = Rs.12x-months, and C contributes…

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Correct answer: Rs.6000

583. Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

  • A. Rs.2400
  • B. Rs.3600
  • C. Rs.2850
  • D. Rs.2000

Explanation: Let the first investment be Rs.x, so the three investments are Rs.x, Rs.(x + 1000), and Rs.(x + 2000).

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Correct answer: Rs.2400

584. A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?

  • A. Rs.2450
  • B. Rs.3600
  • C. Rs.2500
  • D. Rs.3100

Explanation: When the profit rate rises by 7% - 5% = 2%, A's increase is two-thirds of 2% of the total capital.

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Correct answer: Rs.2500

585. Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?

  • A. 1/3 rd
  • B. 2/5 th
  • C. 2/3 rd
  • D. 1/5 th

Explanation: Using cows as the common unit, 3 horses = 5 cows, so A contributes 21 x 3 x 5/3 = 105 cow-months from horses and 15 x 2 = 30 cow-months…

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Correct answer: 1/3 rd

586. A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?

  • A. Rs.270
  • B. Rs.185
  • C. Rs.215
  • D. Rs.380

Explanation: The capital-time contributions are A: 12 horses x 8 months = 96 horse-months, B: 16 horses x 9 months = 144 horse-months, and C: 18 horses…

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Correct answer: Rs.270

587. A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.

  • A. 1750
  • B. 1900
  • C. 8600
  • D. 10300

Explanation: The capital-time values are A: Rs.6500 x 6 months = Rs.39000-months, B: Rs.8400 x 5 months = Rs.42000-months, and C: Rs.10000 x 3 months =…

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Correct answer: 1900

588. If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:

  • A. 3:4:5
  • B. 12:15:20
  • C. 20:15:12
  • D. 6:8:10Quiz Mode Feature

Explanation: From 6A = 8B = 10C, let the common value be k. Then A = k/6, B = k/8, and C = k/10; multiplying by 120 gives the capital ratio 20:15:12.

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Correct answer: 20:15:12

589. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?

  • A. Rs.3750
  • B. Rs.3000
  • C. Rs.3200
  • D. Rs.2160

Explanation: The capital-time contributions are A: Rs.6000 x 5 months = Rs.30000-months, B: Rs.3600 x 6 months = Rs.21600-months, and C: Rs.7500 x 3…

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Correct answer: Rs.3000

590. A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?

  • A. Rs.2400
  • B. Rs.1800
  • C. Rs.3600
  • D. Rs.6000

Explanation: A's capital-time contribution is Rs.1200 x 12 months = Rs.14400-months.

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Correct answer: Rs.2400

591. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.

  • A. Rs.240
  • B. Rs.350
  • C. Rs.340
  • D. Rs.390

Explanation: A contributes Rs.3000 x 8 months + Rs.2000 x 4 months = Rs.32000-months.

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Correct answer: Rs.240

592. A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?

  • A. 6 months
  • B. 8 months
  • C. 10 months
  • D. 7 months

Explanation: A's capital is used for 8 months, giving a capital-time value of 7 x 8 = 56 capital-months.

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Correct answer: 7 months

593. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?

  • A. Rs.18000
  • B. Rs.15000
  • C. Rs.17000
  • D. Rs.14000

Explanation: A contributes Rs.25000 x 12 months = Rs.300000-months and B contributes Rs.30000 x 12 months = Rs.360000-months.

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Correct answer: Rs.14000

594. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?

  • A. Rs.480
  • B. Rs.615
  • C. Rs.820
  • D. Rs.740

Explanation: A subscribes one-third of the total capital, so A receives one-third of the profit when profit follows capital shares.

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Correct answer: Rs.820

595. A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?

  • A. Rs.3630
  • B. Rs.2840
  • C. Rs.3200
  • D. Rs.5600

Explanation: The investments have the ratio Rs.6300:Rs.4200:Rs.10500 = 3:2:5, with a total of 10 parts.

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Correct answer: Rs.3630

596. The ratio of the prices of three different types of cars is 4:5:7. If the difference between the costliest and the cheapest cars is Rs. 60000 the price of the car of modest price is:

  • A. Rs. 80000
  • B. Rs. 100000
  • C. Rs. 140000
  • D. Rs. 120000

Explanation: The price difference between the costliest and cheapest cars is 7 - 4 = 3 ratio parts, so 3 parts = Rs. 60,000 and 1 part = Rs. 20,000.

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Correct answer: Rs. 100000

597. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

  • A. Rs. 200
  • B. Rs. 250
  • C. Rs. 300
  • D. None of these

Explanation: Let Y's weekly pay be Rs.y. X receives 120% of this, so X is paid Rs.1.2y, and Rs.y + Rs.1.2y = Rs.550 gives Rs.2.2y = Rs.550.

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Correct answer: Rs. 250

598. The quality of water that should be added to reduce 9 ml. Lotion containing 50 % alcohol to a lotion containing 30 % alcohol is_________?

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

Explanation: The 9 ml lotion contains 9 ml × 50% = 4.5 ml alcohol. For this 4.5 ml alcohol to be 30% of the final mixture, the final volume must be 4.5…

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Correct answer: 6 ml

599. What is the ratio of Faheem's salary to Imran's salary to Naveed's salary if Faheem makes 80,000 rupees ,Imran 70,000 rupees and Naveed makes 50,000 rupees ?

  • A. 80:70:60
  • B. 8:7:5
  • C. 4:7:5
  • D. 7:8:5

Explanation: The salary ratio is Rs. 80,000:Rs. 70,000:Rs. 50,000. Dividing each term by Rs. 10,000 gives 8:7:5, which is already in simplest form.

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Correct answer: 8:7:5

600. Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?

  • A. 40
  • B. 50
  • C. 60
  • D. 30

Explanation: Write the numbers as 5x and 4x. Their difference is 5x − 4x = x = 10, so the larger number is 5x = 5 × 10 = 50.

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Correct answer: 50
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