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 48 of 53
- A. 19 1/7 min
- B. 15 1/7 min
- C. 17 1/7 min
- D. 7 1/7 min
Explanation: The combined filling rate after allowing for the drain is 1/20 + 1/30 - 1/40.
Correct answer: 17 1/7 min- A. 8:11
- B. 20:11
- C. 4:11
- D. None of These
Explanation: The lorry's time is 2 hours 30 minutes = 2.5 hours, so its speed is 100 km / 2.5 h = 40 km/h.
Correct answer: 8:11- A. 16 Hours
- B. 16.5 Hours
- C. 17 Hours
- D. 15.5 Hours
Explanation: Arif reads 39 pages in 0.5 hour, so the rate is 39 pages / 0.5 h = 78 pages/h.
Correct answer: 16.5 Hours- A. 3.6 sec
- B. 18 sec
- C. 36 sec
- D. 72 sec
Explanation: Because the jogger and train move in the same direction, their relative speed is 45 km/h - 9 km/h = 36 km/h = 10 m/s.
Correct answer: 36 sec- A. 36
- B. 45
- C. 48
- D. 49
Explanation: For trains moving in opposite directions, relative speed is 60 km/h + 90 km/h = 150 km/h = 150 x 5/18 = 41.67 m/s.
Correct answer: 48- A. 120
- B. 260
- C. 240
- D. 220Educational Resources
Explanation: The train's speed is 54 km/h x 5/18 = 15 m/s. Passing the man takes 20 seconds, so the train length is 15 m/s x 20 s = 300 m; passing the…
Correct answer: 240947. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
- A. 80 Sec
- B. 89 Sec
- C. 90 Sec
- D. 95 Sec
Explanation: The train's speed is 240 m ÷ 24 s = 10 m/s. To pass the platform, it must cover its own length plus the platform length: 240 m + 650 m =…
Correct answer: 89 Sec- A. 3 km
- B. 4 km
- C. 5 km
- D. 6 km
Explanation: If the one-way distance is d km, the total time is d/3 hours + d/2 hours = 5 hours. Thus 5d/6 = 5, so d = 6 km.
Correct answer: 6 km- A. 121 km
- B. 242 km
- C. 224 km
- D. 112 km
Explanation: Let each half of the journey be x km. The total time is x/21 hours + x/24 hours = 10 hours, so x(45/504) = 10 and x = 112 km; the complete…
Correct answer: 224 km- A. 10 km
- B. 8 km
- C. 12 km
- D. 9 km
Explanation: Let the walking distance be x km, so the running distance is (20 - x) km.
Correct answer: 10 km- A. 133.33 kmph
- B. 1.33 kmph
- C. 4 kmph
- D. 8 kmph
Explanation: The time is 3 minutes = 180 seconds, so speed = 400 m / 180 s = 2.22 m/s. Converting to kilometres per hour gives 2.22 x 3.6 = 8 km/h.
Correct answer: 8 kmph- A. 6s
- B. 2.08s
- C. 7.5s
- D. 8s
Explanation: Convert 60 km/h to metres per second: 60 x 1000/3600 = 16.67 m/s. Passing a pole requires covering the train's length, so time = 125 m /…
Correct answer: 7.5s- A. 1 hr 42 min
- B. 1 hr
- C. 2 hr
- D. 1 hr 12 min
Explanation: At 6/7 of the usual speed, the new time becomes 7/6 of the usual time. The delay is therefore 1/6 of the usual time, so usual time = 12…
Correct answer: 1 hr 12 min- A. 12
- B. 11
- C. 10
- D. 9
Explanation: In one hour, the bus covers 45 km including stoppages, while its running speed is 54 km/h.
Correct answer: 10- A. 39 seconds
- B. 40 seconds
- C. 39.38 seconds
- D. 39.5 seconds
Explanation: Taking the first pole as the starting point, reaching the 16th pole covers 15 equal intervals, while reaching the 21st pole covers 20…
Correct answer: 40 seconds- A. 3 hours 20 minutes
- B. 3 hours 15 minutes
- C. 3 hours 30 minutes
- D. 3 hours
Explanation: At 5/6 of the usual speed, the travel time becomes 6/5 of the usual time.
Correct answer: 3 hours 20 minutes- A. 12 km
- B. 14 km
- C. 16 km
- D. 18 km
Explanation: Let the distance travelled on foot be x km, so the bicycle distance is (61 - x) km.
Correct answer: 16 km- A. 8.2
- B. 4.2
- C. 6.1
- D. 7.2
Explanation: The person covers 600 m in 5 minutes = 300 seconds, so speed = 600 m / 300 s = 2 m/s.
Correct answer: 7.2- A. 20 minutes
- B. 30 minutes
- C. 40 minutes
- D. 50 minutes
Explanation: Walking at 80% of the usual speed makes the travel time 1/0.8 = 1.25 times the usual time.
Correct answer: 40 minutes- A. 38
- B. 40
- C. 44
- D. 48
Explanation: The trains travel for 3.5 hours, so their combined speed is 287 miles / 3.5 hours = 82 miles per hour.
Correct answer: 44