Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
A train 360 m long moves at 67 km/h. How long does it take to pass a platform of length 287 m?
Answer:
34.76
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 67 * (1000/3600) = 18.61 m/s. 3. Time = Distance / Speed = (360 + 287) / 18.61 = 34.76 s.
2
A train 320 m long moves at 96 km/h. How long does it take to pass a platform of length 276 m?
Answer:
22.35
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 96 * (1000/3600) = 26.67 m/s. 3. Time = Distance / Speed = (320 + 276) / 26.67 = 22.35 s.
3
A train 220 m long moves at 73 km/h. How long does it take to pass a platform of length 253 m?
Answer:
23.33
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 73 * (1000/3600) = 20.28 m/s. 3. Time = Distance / Speed = (220 + 253) / 20.28 = 23.33 s.
4
A train 420 m long moves at 82 km/h. How long does it take to pass a platform of length 242 m?
Answer:
29.06
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 82 * (1000/3600) = 22.78 m/s. 3. Time = Distance / Speed = (420 + 242) / 22.78 = 29.06 s.
5
A train 480 m long moves at 99 km/h. How long does it take to pass a platform of length 259 m?
Answer:
26.87
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 99 * (1000/3600) = 27.50 m/s. 3. Time = Distance / Speed = (480 + 259) / 27.50 = 26.87 s.
6
A train 280 m long moves at 89 km/h. How long does it take to pass a platform of length 269 m?
Answer:
22.21
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 89 * (1000/3600) = 24.72 m/s. 3. Time = Distance / Speed = (280 + 269) / 24.72 = 22.21 s.
7
A train 400 m long moves at 76 km/h. How long does it take to pass a platform of length 296 m?
Answer:
32.97
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 76 * (1000/3600) = 21.11 m/s. 3. Time = Distance / Speed = (400 + 296) / 21.11 = 32.97 s.
8
A train 540 m long moves at 74 km/h. How long does it take to pass a platform of length 274 m?
Answer:
39.6
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 74 * (1000/3600) = 20.56 m/s. 3. Time = Distance / Speed = (540 + 274) / 20.56 = 39.6 s.
9
A train 440 m long moves at 88 km/h. How long does it take to pass a platform of length 248 m?
Answer:
28.15
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 88 * (1000/3600) = 24.44 m/s. 3. Time = Distance / Speed = (440 + 248) / 24.44 = 28.15 s.
10
A train 280 m long moves at 85 km/h. How long does it take to pass a platform of length 265 m?
Answer:
23.08
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 85 * (1000/3600) = 23.61 m/s. 3. Time = Distance / Speed = (280 + 265) / 23.61 = 23.08 s.