TestUstad

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.

Last updated

PercentagesRatio and ProportionProfit and LossAveragesTime, Speed and DistanceTime and Work

1,060 questions · page 34 of 53

661. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?

  • A. 40
  • B. 44
  • C. 48
  • D. 52

Explanation: Let the original milk and water quantities be 4x litres and 5x litres. After adding 8 litres of milk, (4x + 8):5x = 6:5, so 4x + 8 = 6x…

Read the full explanation →
Correct answer: 44

662. n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?

  • A. 5 : 6
  • B. 3 : 4
  • C. 7 : 8
  • D. 8 : 9

Explanation: Using alligation, the quantities of rice at Rs. 6 per kg and Rs. 8.75 per kg are in the ratio (8.75 - 7.50):(7.50 - 6) = 1.25:1.50 = 5:6.

Read the full explanation →
Correct answer: 5 : 6

663. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?

  • A. 2
  • B. 8
  • C. 4
  • D. 5
  • E. None of these

Explanation: The original water is 10% of 70 litres, or 7 litres. If x litres of water are added, (7 + x)/(70 + x) = 12.5% = 1/8; hence 8(7 + x) = 70 +…

Read the full explanation →
Correct answer: 2

664. All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?

  • A. 648
  • B. 888
  • C. 928
  • D. 1184

Explanation: Let the initial quantity in A be x litres. B initially contains 37.5% of x litres = 3x/8, while C contains 5x/8.

Read the full explanation →
Correct answer: 1184

665. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?

  • A. Rs. 13.50
  • B. Rs. 14.50
  • C. Rs. 15.50
  • D. Rs. 16.50
  • E. None of these

Explanation: The mixture costs (3 kg x Rs.9 + 7 kg x Rs.15) / 10 kg = Rs.13.20 per kg.

Read the full explanation →
Correct answer: Rs. 16.50

666. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?

  • A. 120 liters
  • B. 180 liters
  • C. 110 liters
  • D. 160 liters

Explanation: Let x litres of the Rs.40 per litre oil be added. Equating total cost to the cost of the mixture gives 40x + 240 litres x Rs.60 per litre…

Read the full explanation →
Correct answer: 160 liters

667. In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?

  • A. 1:3
  • B. 3:1
  • C. 1:2
  • D. 2:1Computer Online Quiz

Explanation: Using alligation, the ratio of Rs.18 per kg sugar to Rs.24 per kg sugar is (Rs.24 - Rs.20) : (Rs.20 - Rs.18) = Rs.4 : Rs.2 = 2:1.

Read the full explanation →
Correct answer: 2:1Computer Online Quiz

668. A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?

  • A. 9:1
  • B. 4:7
  • C. 7:1
  • D. 2:5

Explanation: Initially there are 12 litres of milk and 8 litres of water. Removing 10 litres removes 6 litres of milk and 4 litres of water, leaving 6…

Read the full explanation →
Correct answer: 9:1

669. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

  • A. 7 liters
  • B. 15 liters
  • C. 10 liters
  • D. 9 liters

Explanation: The original 150 litres contains 20% water = 30 litres of water and 120 litres of wine.

Read the full explanation →
Correct answer: 10 liters

670. In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?

  • A. 1:6
  • B. 2:3
  • C. 4:3
  • D. 6:1

Explanation: Suppose the mixture contains 6 units of milk and 1 unit of water. Selling 7 units at the cost price of 6 units of milk gives a gain of 1/6…

Read the full explanation →
Correct answer: 1:6

671. In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?

  • A. 3:2
  • B. 3:4
  • C. 3:5
  • D. 4:5

Explanation: A selling price of Rs.68.20 per kg at a 10% gain means the mixture's cost price is Rs.68.20 per kg / 1.10 = Rs.62 per kg.

Read the full explanation →
Correct answer: 3:2

672. A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?

  • A. 72
  • B. 72.9
  • C. 73.8
  • D. 74.7
  • E. None of these

Explanation: Each replacement removes 9 litres from a 90-litre vessel, so 81/90 = 0.9 of the milk remains after each operation.

Read the full explanation →
Correct answer: 72.9

673. Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?

  • A. 16 : 5
  • B. 14 : 5
  • C. 16 : 7
  • D. 19 : 5
  • E. None of these

Explanation: From vessel P, 2 litres contains 2 litres x 62.5% = 1.25 litres of alcohol and 0.75 litres of water.

Read the full explanation →
Correct answer: 19 : 5

674. Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?

  • A. 3/5
  • B. 1/2
  • C. 1/4
  • D. 2/7

Explanation: Take the original mixture as 1 unit, containing 4/5 unit of wine and 1/5 unit of water.

Read the full explanation →
Correct answer: 1/4

675. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

  • A. 18 litres
  • B. 24 litres
  • C. 32 litres
  • D. 42 litres

Explanation: Four operations are performed, and each leaves the fraction (V - 8 litres) / V of the wine, where V is the original capacity.

Read the full explanation →
Correct answer: 24 litres

676. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:_______?

  • A. Rs. 18
  • B. Rs. 18.50
  • C. Rs. 19
  • D. Rs. 19.50Fun & Trivia

Explanation: For every 5 kg of mixture, there are 2 kg of Type 1 rice and 3 kg of Type 2 rice.

Read the full explanation →
Correct answer: Rs. 18

677. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

  • A. 3 : 2
  • B. 3 : 4
  • C. 3 : 5
  • D. 4 : 5

Explanation: At a 10% gain, the cost price of the mixture is Rs.68.20 per kg / 1.10 = Rs.62 per kg.

Read the full explanation →
Correct answer: 3 : 2

678. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

  • A. 1 : 3
  • B. 2 : 3
  • C. 3 : 4
  • D. 4 : 5

Explanation: Using alligation, rice at Rs.7.20 per kg : rice at Rs.5.70 per kg = (Rs.6.30 - Rs.5.70) : (Rs.7.20 - Rs.6.30) = Rs.0.60 : Rs.0.90 = 2:3.

Read the full explanation →
Correct answer: 2 : 3

679. In what proportion must water be added to spirit to gain 20% by selling it at the cost price?

  • A. 2:5
  • B. 1:5
  • C. 3:5
  • D. 4:5

Explanation: If the spirit costs Rs.1 per unit, adding water costing Rs.0 per unit and selling the mixture at Rs.1 per unit gives a 20% gain when water…

Read the full explanation →
Correct answer: 1:5

680. How much water must be added to a bucket which contains 40 liters of milk at the cost price of Rs.3.50 per liter so that the cost of milk reduces to Rs.2 per liter?

  • A. 25 liters
  • B. 28 litres
  • C. 30 liters
  • D. 35 liters

Explanation: The 40 litres of milk originally cost 40 litres x Rs.3.50 per litre = Rs.140.

Read the full explanation →
Correct answer: 30 liters
Start Free Arithmetic Practice MCQs Test