All Free Mathematics MCQs with Answers
Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
1,551 questions · page 67 of 78
- A. 50 km
- B. 45 km
- C. 40 km
- D. 30 km
Explanation: Let the track length be D km. The time saved is D/150 hour - D/180 hour = 3 minutes = 1/20 hour; since the difference is D/900 hour, D/900…
Correct answer: 45 km- 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.
Correct answer: 3750m- 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…
Correct answer: 720 km/hr- 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…
Correct answer: 40- 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…
Correct answer: 80 km- 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.
Correct answer: 85 miles- 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…
Correct answer: 35 km/hr- 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…
Correct answer: 290 km- 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.
Correct answer: 12 kmph- 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…
Correct answer: 70 km- 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.
Correct answer: 6 km- 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…
Correct answer: 6 hrs 21 min- 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.
Correct answer: 7.42 a.m.- 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…
Correct answer: 224 km- 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…
Correct answer: 450 metres- 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.
Correct answer: 13 min 20 sec- 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…
Correct answer: 80 km- 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.
Correct answer: 6 hours 50 min- 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.
Correct answer: None of these- 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…
Correct answer: None of these