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
131
Two trains 200m long each are moving in the same direction at 126 km/hr and 90 km/hr. How long will the faster train take to cross the slower one?
Answer:
40 seconds
Step 1: Relative speed = 126 - 90 = 36 km/hr = 10 m/s. Step 2: Total distance = 200 + 200 = 400 m. Step 3: Time = 400 / 10 = 40 seconds.
132
Two trains, each 150m long, run in the same direction at 117 km/hr and 99 km/hr. Find the crossing time.
Answer:
60 seconds
Step 1: Relative speed = 117 - 99 = 18 km/hr = 5 m/s. Step 2: Total distance = 150 + 150 = 300 m. Step 3: Time = 300 / 5 = 60 seconds.
133
A train 250m long moving at 108 km/hr overtakes a 200m long train moving at 54 km/hr. How long will it take to cross completely?
Answer:
30 seconds
Step 1: Relative speed = 108 - 54 = 54 km/hr = 54 * (5/18) = 15 m/s. Step 2: Total distance = 250 + 200 = 450 m. Step 3: Time = 450 / 15 = 30 seconds.
134
Two trains of lengths 140m and 160m are moving in the same direction at 90 km/hr and 72 km/hr. Find the time to pass each other.
Answer:
60 seconds
Step 1: Relative speed = 90 - 72 = 18 km/hr = 5 m/s. Step 2: Total distance = 140 + 160 = 300 m. Step 3: Time = 300 / 5 = 60 seconds.
135
A train 220m long running at 81 km/hr overtakes another train 180m long running at 63 km/hr. How much time is taken to cross?
Answer:
80 seconds
Step 1: Relative speed = 81 - 63 = 18 km/hr = 5 m/s. Step 2: Total distance = 220 + 180 = 400 m. Step 3: Time = 400 / 5 = 80 seconds.
136
Two trains, 180m and 120m long, are running in the same direction at 63 km/hr and 45 km/hr. Find the time required for them to cross each other.
Answer:
60 seconds
Step 1: Relative speed = 63 - 45 = 18 km/hr = 5 m/s. Step 2: Total distance = 180 + 120 = 300 m. Step 3: Time = 300 / 5 = 60 seconds.
137
A train of length 250m moving at 108 km/hr overtakes another train of length 150m moving at 72 km/hr in the same direction. How long does the crossing take?
Answer:
40 seconds
Step 1: Relative speed = 108 - 72 = 36 km/hr = 10 m/s. Step 2: Total distance = 250 + 150 = 400 m. Step 3: Time = 400 / 10 = 40 seconds.
138
Two trains of lengths 200m and 150m are moving in the same direction at 90 km/hr and 54 km/hr respectively. Find the time taken by the faster train to cross the slower one.
Answer:
35 seconds
Step 1: Relative speed = 90 - 54 = 36 km/hr = 10 m/s. Step 2: Total distance = 200 + 150 = 350 m. Step 3: Time = 350 / 10 = 35 seconds.
139
A 150m long train running at 72 km/hr overtakes a 100m long train running in the same direction at 36 km/hr. Find the time taken to cross.
Answer:
25 seconds
Step 1: Relative speed = 72 - 36 = 36 km/hr = 36 * (5/18) = 10 m/s. Step 2: Total distance = 150 + 100 = 250 m. Step 3: Time = 250 / 10 = 25 seconds.
140
Two trains, each 100 meters long, are moving in the same direction at 54 km/hr and 36 km/hr. How much time will the faster train take to completely cross the slower train?
Answer:
40 seconds
Step 1: Relative speed in same direction = 54 - 36 = 18 km/hr = 18 * (5/18) = 5 m/s. Step 2: Total distance = Sum of lengths = 100 + 100 = 200 m. Step 3: Time = 200 / 5 = 40 seconds.