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
121
A train 360m long moving at 117 km/hr crosses another train 360m long moving in the opposite direction at 99 km/hr. Time taken is:
Answer:
12 seconds
Step 1: Relative speed = 117 + 99 = 216 km/hr = 216 * (5/18) = 60 m/s. Step 2: Total distance = 360 + 360 = 720 m. Step 3: Time = 720 / 60 = 12 seconds.
122
Two trains 300m long each are running in opposite directions at 99 km/hr and 81 km/hr. Find the time to cross each other.
Answer:
12 seconds
Step 1: Relative speed = 99 + 81 = 180 km/hr = 50 m/s. Step 2: Total distance = 300 + 300 = 600 m. Step 3: Time = 600 / 50 = 12 seconds.
123
Two trains of lengths 240m each are moving towards each other at 81 km/hr and 63 km/hr. In what time will they cross?
Answer:
12 seconds
Step 1: Relative speed = 81 + 63 = 144 km/hr = 40 m/s. Step 2: Total distance = 240 + 240 = 480 m. Step 3: Time = 480 / 40 = 12 seconds.
124
A train 180m long moving at 63 km/hr crosses a train 180m long moving in the opposite direction at 45 km/hr. What is the time taken?
Answer:
12 seconds
Step 1: Relative speed = 63 + 45 = 108 km/hr = 30 m/s. Step 2: Total distance = 180 + 180 = 360 m. Step 3: Time = 360 / 30 = 12 seconds.
125
Two trains, each 120m long, are running in opposite directions at 45 km/hr and 27 km/hr. Find the crossing time.
Answer:
12 seconds
Step 1: Relative speed = 45 + 27 = 72 km/hr = 20 m/s. Step 2: Total distance = 120 + 120 = 240 m. Step 3: Time = 240 / 20 = 12 seconds.
126
Two trains of lengths 300m and 250m are moving towards each other at 108 km/hr and 90 km/hr. In what time will they cross?
Answer:
10 seconds
Step 1: Relative speed = 108 + 90 = 198 km/hr = 198 * (5/18) = 55 m/s. Step 2: Total distance = 300 + 250 = 550 m. Step 3: Time = 550 / 55 = 10 seconds.
127
A 250m long train moving at 90 km/hr crosses a 200m long train moving in the opposite direction at 72 km/hr. What is the time taken?
Answer:
10 seconds
Step 1: Relative speed = 90 + 72 = 162 km/hr = 162 * (5/18) = 45 m/s. Step 2: Total distance = 250 + 200 = 450 m. Step 3: Time = 450 / 45 = 10 seconds.
128
Two trains of lengths 200m and 150m are running in opposite directions at 72 km/hr and 54 km/hr. How much time will they take to cross?
Answer:
10 seconds
Step 1: Relative speed = 72 + 54 = 126 km/hr = 126 * (5/18) = 35 m/s. Step 2: Total distance = 200 + 150 = 350 m. Step 3: Time = 350 / 35 = 10 seconds.
129
A train 150m long moving at 54 km/hr crosses another train 100m long moving in the opposite direction at 36 km/hr. Find the crossing time.
Answer:
10 seconds
Step 1: Relative speed = 54 + 36 = 90 km/hr = 25 m/s. Step 2: Total distance = 150 + 100 = 250 m. Step 3: Time = 250 / 25 = 10 seconds.
130
Two trains, each 100 meters long, are moving in opposite directions at 36 km/hr. In what time will they cross each other?
Answer:
10 seconds
Step 1: Relative speed in opposite directions = 36 + 36 = 72 km/hr = 72 * (5/18) = 20 m/s. Step 2: Total distance = 100 + 100 = 200 m. Step 3: Time = 200 / 20 = 10 seconds.