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 53 of 53

1041. In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is__________?

  • A. 86 sec
  • B. 80 sec
  • C. 76 sec
  • D. None of these

Explanation: When A completes 300 m, B has completed 277.5 m, so their speed ratio is A:B = 300:277.5 = 40:37.

Read the full explanation →
Correct answer: 80 sec

1042. In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?

  • A. 50
  • B. 40
  • C. 25
  • D. 15

Explanation: A can give B 20 points in a game of 60, so A:B = 60:40 = 3:2. A can give C 30 points, so A:C = 60:30 = 2:1; hence B:C = 4:3.

Read the full explanation →
Correct answer: 25

1043. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?

  • A. 57.5 m
  • B. 127.5 m
  • C. 150.7 m
  • D. 98.6 m

Explanation: A beats B by 100 m in 1,000 m, so A:B = 1,000:900 = 10:9. B beats C by 100 m in 800 m, so B:C = 800:700 = 8:7; therefore A:C = 80:63.

Read the full explanation →
Correct answer: 127.5 m

1044. A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?

  • A. 150 m
  • B. 125 m
  • C. 130 m
  • D. 100 m

Explanation: A's speed is 1,000 m ÷ 4.5 min, while B's speed is 1,000 m ÷ 5 min. In 4.5 minutes, B covers (1,000 ÷ 5) × 4.5 = 900 m, so A can give B…

Read the full explanation →
Correct answer: 100 m

1045. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

  • A. 200 sec
  • B. 190 sec
  • C. 210 sec
  • D. 150 sec

Explanation: When A runs 1,000 m, B runs 950 m, so their speed ratio is A:B = 1,000:950 = 20:19.

Read the full explanation →
Correct answer: 190 sec

1046. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

  • A. 111.12 m
  • B. 888.88 m
  • C. 777.52 m
  • D. 756.34 m

Explanation: A giving B a 100 m start gives A:B = 1,000:900 = 10:9, while A giving C a 200 m start gives A:C = 1,000:800 = 5:4.

Read the full explanation →
Correct answer: 111.12 m

1047. Jameel gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Nasir gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

  • A. 19
  • B. 28
  • C. 30
  • D. 37

Explanation: The elevators close a distance of 51 - 11 = 40 floors at a combined rate of 57 + 63 = 120 floors per minute, so their meeting time is…

Read the full explanation →
Correct answer: 30

1048. A rectangular tank is 225 m by 162m at the base with what speed must water flow into it through an aperture 60cm by 45cm that the level may be raised 20cm in 5 hours?

  • A. 5000 m/hr
  • B. 5200m/hr
  • C. 5400 m/hr
  • D. 5600 m/hr

Explanation: The tank must receive 225 m × 162 m × 0.2 m = 7290 m3 of water in 5 h, so the flow rate is 7290 m3 ÷ 5 h = 1458 m3/h.

Read the full explanation →
Correct answer: 5400 m/hr

1049. The water in a rectangular reservoir having a base 80m by 60m is 6.5m deep.In what time can the water be amplified by a pipe of which the cross section is a square of a side 20cm if the water runs through the pipe at the rate of 15km per hour?

  • A. 26hours
  • B. 42hours
  • C. 52hours
  • D. 65hours

Explanation: The reservoir volume to be filled is 80 m × 60 m × 6.5 m = 31,200 m3. The pipe area is (0.2 m)2 = 0.04 m2, and water speed is 15 km/h =…

Read the full explanation →
Correct answer: 52hours

1050. Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?

  • A. 11 hours
  • B. 12 hours
  • C. 220 hours
  • D. 22 hours

Explanation: To return to the starting point, each traveller must cover a whole number of 11 km laps.

Read the full explanation →
Correct answer: 11 hours

1051. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?

  • A. 5 min
  • B. 5.5 min
  • C. 5.2 min
  • D. None

Explanation: The bells meet again after the least common multiple of their intervals.

Read the full explanation →
Correct answer: 5 min

1052. A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?

  • A. 36km/h
  • B. 45km/h
  • C. 48km/h
  • D. 50km/h

Explanation: For equal distances, average speed is total distance divided by total time, or 2uv/(u+v).

Read the full explanation →
Correct answer: 48km/h

1053. The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

  • A. 37 ½ %
  • B. 60 %
  • C. 75 %
  • D. none of these

Explanation: A 60% increase makes the length 1.6 times its original value. To keep the area constant, the width must become 1/1.6 = 0.625 of its…

Read the full explanation →
Correct answer: 37 ½ %

1054. The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by________?

  • A. 33 1/3 %
  • B. 9 1/11 %
  • C. 11 1/9 %
  • D. 66 2/3 %
  • E. None

Explanation: After a 25% reduction, the new price is 75% of the original price. To restore it, the required increase is (100% - 75%)/75% x 100% = 25/75…

Read the full explanation →
Correct answer: 33 1/3 %

1055. A 9% stock yields 8%. The market value of the stock is__________?

  • A. Rs. 72
  • B. Rs. 92
  • C. Rs. 112.50
  • D. Rs. 116.50Educational Resources

Explanation: For a 9% stock yielding 8%, let the market price be P per Rs. 100 stock. Then 9/P = 8/100, so P = (9 x Rs. 100) ÷ 8 = Rs. 112.50.

Read the full explanation →
Correct answer: Rs. 112.50

1056. To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is__________?

  • A. Rs. 10,000
  • B. Rs. 10,800
  • C. Rs. 14,400
  • D. Rs. 16,000Education

Explanation: To receive Rs. 1200 from a 12% stock, the nominal stock value must be Rs. 1200 ÷ 0.12 = Rs. 10000. The quotation of Rs.

Read the full explanation →
Correct answer: Rs. 10,000

1057. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is___________?

  • A. 7.50%
  • B. 8%
  • C. 9.70%
  • D. None of these.Finance

Explanation: At Rs. 97 per Rs. 100 stock, Rs. 1552 purchases Rs. 1552 ÷ 97 x Rs. 100 = Rs. 1600 nominal stock. The dividend rate is therefore Rs.

Read the full explanation →
Correct answer: 8%

1058. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is________?

  • A. 6.06%
  • B. 6.07%
  • C. 6.08%
  • D. 6.09%

Explanation: A nominal rate of 6% payable half-yearly means 3% per half-year, applied twice annually.

Read the full explanation →
Correct answer: 6.09%

1059. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?

  • A. 37.5%
  • B. 48%
  • C. 50.5%
  • D. 52%

Explanation: Let the marked price be Rs. 100, so the cost price is Rs. 64. After a 12% discount, selling price = Rs. 100 x 0.88 = Rs.

Read the full explanation →
Correct answer: 37.5%

1060. A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?

  • A. 2:3:5
  • B. 3:4:7
  • C. 4:5:9
  • D. None of these

Explanation: Using capital-time products, A contributes Rs. 40,000 x 36 months = 1,440,000 Rs.-months, B contributes Rs. 80,000 x 12 months + Rs.

Read the full explanation →
Correct answer: 3:4:7
Start Free Arithmetic Practice MCQs Test