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
11
A train 180 m long moves at 60 km/h. How long does it take to pass a platform of length 240 m?
Answer:
25.2
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 60 * (1000/3600) = 16.67 m/s. 3. Time = Distance / Speed = (180 + 240) / 16.67 = 25.2 s.
12
A train 460 m long moves at 93 km/h. How long does it take to pass a platform of length 253 m?
Answer:
27.6
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 93 * (1000/3600) = 25.83 m/s. 3. Time = Distance / Speed = (460 + 253) / 25.83 = 27.6 s.
13
A train 420 m long moves at 84 km/h. How long does it take to pass a platform of length 244 m?
Answer:
28.46
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 84 * (1000/3600) = 23.33 m/s. 3. Time = Distance / Speed = (420 + 244) / 23.33 = 28.46 s.
14
A train 200 m long moves at 68 km/h. How long does it take to pass a platform of length 248 m?
Answer:
23.72
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 68 * (1000/3600) = 18.89 m/s. 3. Time = Distance / Speed = (200 + 248) / 18.89 = 23.72 s.
15
A train 300 m long moves at 90 km/h. How long does it take to pass a platform of length 270 m?
Answer:
22.8
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 90 * (1000/3600) = 25.00 m/s. 3. Time = Distance / Speed = (300 + 270) / 25.00 = 22.8 s.
16
A train 420 m long moves at 83 km/h. How long does it take to pass a platform of length 243 m?
Answer:
28.76
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 83 * (1000/3600) = 23.06 m/s. 3. Time = Distance / Speed = (420 + 243) / 23.06 = 28.76 s.
17
A train 500 m long moves at 64 km/h. How long does it take to pass a platform of length 264 m?
Answer:
42.98
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 64 * (1000/3600) = 17.78 m/s. 3. Time = Distance / Speed = (500 + 264) / 17.78 = 42.98 s.
18
A train 400 m long moves at 78 km/h. How long does it take to pass a platform of length 298 m?
Answer:
32.22
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 78 * (1000/3600) = 21.67 m/s. 3. Time = Distance / Speed = (400 + 298) / 21.67 = 32.22 s.
19
A train 280 m long moves at 88 km/h. How long does it take to pass a platform of length 268 m?
Answer:
22.42
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 = (280 + 268) / 24.44 = 22.42 s.
20
A train 360 m long moves at 68 km/h. How long does it take to pass a platform of length 288 m?
Answer:
34.31
Step-by-step solution: 1. Relative distance to cover = train length + platform length. 2. Convert speed to m/s: 68 * (1000/3600) = 18.89 m/s. 3. Time = Distance / Speed = (360 + 288) / 18.89 = 34.31 s.