All Free Mathematics MCQs with Answers

• A. 480 liters
• B. 600 liters
• C. 720 liters
• D. 800 liters

Explanation: Let the capacity be C litres. The leak removes C/20 litres per minute, while the tap adds 4 litres per minute; because the tank empties in…

• 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.

• 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.

• 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.

• 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.

• 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.

• 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…

• 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 =…

• 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.

• 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…

• 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.

• 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.

• 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 /…

• 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…

• 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.

• 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…

• 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.

• 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.

• 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.

• 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.