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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 50 of 53

981. Asghar traveled from his house to his office at 10 km/hr and returned at rate of 9 km/hr. Rohit travelled through the same path both ways at 12 km/hr and took 10 minutes less than Asghar. What is the distance between Asghar's house and his office?

  • A. 3000m
  • B. 7500m
  • C. 3750m
  • D. 7000m

Explanation: Asghar's round-trip time is D/10 hour + D/9 hour = 19D/90 hours, while Rohit's is 2D/12 hour = D/6 hour.

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Correct answer: 3750m

982. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of:_________?

  • A. 660 km/hr
  • B. 680 km/hr
  • C. 700 km/hr
  • D. 720 km/hr

Explanation: The distance is 240 km/h x 5 h = 1200 km. For 5/3 h, the required speed is 1200 km ÷ (5/3 h) = 720 km/h; 680 km/h is a likely choice for…

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Correct answer: 720 km/hr

983. A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?

  • A. 36
  • B. 52
  • C. 41
  • D. 40

Explanation: Let the original speed be v km/h and distance D km. The two time differences give D/[v(v+3)] = 2/9 h and D/[v(v-2)] = 1/3 h, which produce…

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Correct answer: 40

984. A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike.

  • A. 120 km
  • B. 100 km
  • C. 80 km
  • D. 75 km

Explanation: If the bike speed is v km/h, the car speed is 1.5v km/h. The time difference is 100/v h - 100/(1.5v) h = 25/60 h, giving v = 80 km/h; 100…

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Correct answer: 80 km

985. Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?

  • A. 85 miles
  • B. 70 miles
  • C. 50 miles
  • D. 120 miles

Explanation: The trains approach each other at 70 mph + 50 mph = 120 mph, so they collide after 120 miles ÷ 120 mph = 1 hour.

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Correct answer: 85 miles

986. A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?

  • A. 30 km/hr
  • B. 35 km/hr
  • C. 25 km/hr
  • D. 40 km/hr

Explanation: The given time is 1 h + 40/60 h + 48/3600 h = 1.68 h. The reduced speed is 42 km ÷ 1.68 h = 25 km/h, and since this is 5/7 of the actual…

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Correct answer: 35 km/hr

987. Danish his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.

  • A. 300 km
  • B. 290 km
  • C. 250 km
  • D. 240 km

Explanation: During the first 2 h, the distance is 120 km/h x 2 h = 240 km. During the next 0.5 h, it is 100 km/h x 0.5 h = 50 km, so the total is 240…

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Correct answer: 290 km

988. Barkat is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M. ?

  • A. 8 kmph
  • B. 11 kmph
  • C. 12 kmph
  • D. 14 kmph

Explanation: The two travel times differ by 2 h, so D/10 h - D/15 h = 2 h, giving D = 60 km. Reaching at 1 P.M.

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Correct answer: 12 kmph

989. A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.

  • A. 30 km
  • B. 40 km
  • C. 70 km
  • D. 80 km

Explanation: The delay is 15 min = 0.25 h, so D/35 h - D/40 h = 0.25 h. Hence D x (5/1400) h/km = 0.25 h, giving D = 70 km; 80 km results from using an…

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Correct answer: 70 km

990. A boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is :___________?

  • A. 5 km
  • B. 5.5 km
  • C. 6 km
  • D. 6.5 km

Explanation: If the one-way distance is D km, the total time is D/3 h + D/2 h = 5 h.

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Correct answer: 6 km

991. An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

  • A. 6 hrs 21 min
  • B. 6 hrs 24 min
  • C. 6 hrs 27 min
  • D. 6 hrs 30 min

Explanation: The running time is 600 km ÷ 100 km/h = 6 h. Stops occur after 75, 150, 225, 300, 375, 450 and 525 km, giving 7 stops x 3 min = 21 min, so…

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Correct answer: 6 hrs 21 min

992. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?

  • A. 7.42 a.m.
  • B. 7.48 a.m.
  • C. 8.10 a.m.
  • D. 8.30 a.m.

Explanation: B gains on A at 6 rounds/h - 1 round/h = 5 rounds/h, so they meet after 1/5 h = 12 min.

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Correct answer: 7.42 a.m.

993. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.

  • A. 220 km
  • B. 224 km
  • C. 230 km
  • D. 234 km

Explanation: Let each half of the journey be x km, so total distance is 2x km. The time equation is x/21 h + x/24 h = 10 h, or x x 45/504 h/km = 10 h…

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Correct answer: 224 km

994. A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?

  • A. 45 metres
  • B. 55 metres
  • C. 450 metres
  • D. Cannot be determined

Explanation: Convert 108 km/h to metres per second: 108 x 1000/3600 = 30 m/s. In 15 s, the distance is 30 m/s x 15 s = 450 m; 45 m results from failing…

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Correct answer: 450 metres

995. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be :__________?

  • A. 10 min
  • B. 11 min 20 sec
  • C. 13 min
  • D. 13 min 20 sec

Explanation: The original speed is 10 km ÷ (12/60 h) = 50 km/h, so the reduced speed is 45 km/h.

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Correct answer: 13 min 20 sec

996. A steamer goes downstream from one port to another in 4 hours, it covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr,the distance between the two parts is_______?

  • A. 50km
  • B. 60km
  • C. 70km
  • D. 80 km

Explanation: Let the distance be D km. The downstream speed is D/4 km/hr and the upstream speed is D/5 km/hr; their difference is 2 km/hr + 2 km/hr = 4…

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Correct answer: 80 km

997. The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in_______?

  • A. 5 hours 50 min
  • B. 6 hours
  • C. 6 hours 50 min
  • D. 12 hours 10 min

Explanation: Take the boat's still-water speed and current speed as 36 units and 5 units, so downstream and upstream speeds are 41 units and 31 units.

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Correct answer: 6 hours 50 min

998. A boat covers a distance of 30 km in 2 ½ hours running downstream while returning it covers the same distance in 3 ¾ hours. What is the speed of the boat in still water?

  • A. 8km/hr
  • B. 12km/hr
  • C. 14 km/hr
  • D. 15 km/hr
  • E. None of these

Explanation: The downstream speed is 30 km ÷ 2.5 hours = 12 km/hr, while the upstream speed is 30 km ÷ 3.75 hours = 8 km/hr.

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Correct answer: None of these

999. A boat goes 24 km downstream in 10 hours, it takes 2 hours more to cover the same distance against the stream. What is the speed of the boat in still water?

  • A. 2km/hr
  • B. 2.8 km/hr
  • C. 4 km/hr
  • D. 4.2 km/hr
  • E. None of these

Explanation: The downstream speed is 24 km ÷ 10 hours = 2.4 km/hr, and the upstream journey takes 10 hours + 2 hours = 12 hours, giving an upstream…

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Correct answer: None of these

1000. A boat running downstream covers 24 km's in 4 hours while for covering the same distance upstream it takes 6 hours whats the speed of the boat in still water?

  • A. 3.5km/hr
  • B. 5.5 km/hr
  • C. 6 km/hr
  • D. Data Inadequate
  • E. None of these

Explanation: The downstream speed is 24 km ÷ 4 hours = 6 km/hr, and the upstream speed is 24 km ÷ 6 hours = 4 km/hr.

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Correct answer: None of these
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