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📊 Math
Q. A train running at 60 km/h crosses a pole in 9 seconds. What is the length of the train?
  • (A) 120 m
  • (B) 135 m
  • (C) 150 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (C) 150 m

Explanation: Speed = 60 km/h = (60×5/18)=16.67 m/s → Length = 16.67×9 ≈150 m.

📊 Math
Q. A train 180 m long is running at 54 km/h. How long will it take to cross a platform 120 m long?
  • (A) 18 sec
  • (B) 20 sec
  • (C) 22 sec
  • (D) 24 sec
💬 Discuss
✅ Correct Answer: (B) 20 sec

Explanation: Total distance = 180+120=300 m; Speed = 15 m/s → Time = 300/15 = 20 sec.

📊 Math
Q. A train crosses a man standing on a platform in 6 seconds and crosses the platform in 18 seconds. What is the length of the platform?
  • (A) 100 m
  • (B) 120 m
  • (C) 150 m
  • (D) 180 m
💬 Discuss
✅ Correct Answer: (B) 120 m

Explanation: Train length = x; Speed = x/6; (x+platform)/18 = x/6 → platform = 2x = 120 m.

📊 Math
Q. Two trains of equal length cross each other in 12 seconds while moving in opposite directions at 45 km/h and 63 km/h. What is the length of each train?
  • (A) 120 m
  • (B) 150 m
  • (C) 180 m
  • (D) 200 m
💬 Discuss
✅ Correct Answer: (C) 180 m

Explanation: Relative speed = (45+63)×5/18 = 30 m/s; Total length = 30×12=360 m → each =180 m.

📊 Math
Q. A train crosses a pole in 10 seconds at a speed of 36 km/h. What is the length of the train?
  • (A) 80 m
  • (B) 90 m
  • (C) 100 m
  • (D) 120 m
💬 Discuss
✅ Correct Answer: (C) 100 m

Explanation: Speed = 36 km/h = 10 m/s → Length = 10×10 = 100 m.

📊 Math
Q. A train 150 m long crosses another train 100 m long running in same direction in 10 seconds. What is the relative speed?
  • (A) 90 km/h
  • (B) 80 km/h
  • (C) 70 km/h
  • (D) 60 km/h
💬 Discuss
✅ Correct Answer: (A) 90 km/h

Explanation: Total distance = 250 m; Speed = 25 m/s = 90 km/h.

📊 Math
Q. A train moving at 72 km/h crosses a platform in 20 seconds. If the train is 200 m long, what is the platform length?
  • (A) 150 m
  • (B) 180 m
  • (C) 200 m
  • (D) 220 m
💬 Discuss
✅ Correct Answer: (C) 200 m

Explanation: Speed = 20 m/s → Distance = 20×20 = 400 m → Platform = 400−200 = 200 m.

📊 Math
Q. Two trains cross each other in 15 seconds moving in opposite directions at 54 km/h and 36 km/h. What is their total length?
  • (A) 300 m
  • (B) 375 m
  • (C) 450 m
  • (D) 500 m
💬 Discuss
✅ Correct Answer: (B) 375 m

Explanation: Relative speed = (54+36)×5/18 = 25 m/s → Length = 25×15 = 375 m.

📊 Math
Q. A train crosses a man walking at 6 km/h in same direction in 10 seconds. If the train speed is 42 km/h, what is the length of the train?
  • (A) 80 m
  • (B) 90 m
  • (C) 100 m
  • (D) 120 m
💬 Discuss
✅ Correct Answer: (C) 100 m

Explanation: Relative speed = (42−6)×5/18 = 10 m/s → Length = 10×10 = 100 m.

📊 Math
Q. A train takes 25 seconds to cross a bridge 175 m long and 10 seconds to cross a pole. What is the length of the train?
  • (A) 70 m
  • (B) 80 m
  • (C) 90 m
  • (D) 100 m
💬 Discuss
✅ Correct Answer: (A) 70 m

Explanation: Let length = x; Speed = x/10; (x+175)/25 = x/10 → x = 70 m.