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
151
What is the length of a platform if a 300-meter-long train running at 108 km/hr crosses it in 35 seconds?
Answer:
750 meters
Step 1: Convert speed to m/s. Speed = 108 * (5/18) = 30 m/s. Step 2: Total distance = 30 * 35 = 1050 m. Step 3: Platform length = 1050 - 300 = 750 meters.
152
A 250-meter-long train running at 90 km/hr takes 35 seconds to cross a tunnel. The length of the tunnel is:
Answer:
625 meters
Step 1: Convert speed to m/s. Speed = 90 * (5/18) = 25 m/s. Step 2: Total distance = 25 * 35 = 875 m. Step 3: Tunnel length = 875 - 250 = 625 meters.
153
A train 200 meters long crosses a bridge in 35 seconds at a speed of 72 km/hr. Find the length of the bridge.
Answer:
500 meters
Step 1: Convert speed to m/s. Speed = 72 * (5/18) = 20 m/s. Step 2: Total distance = 20 * 35 = 700 m. Step 3: Bridge length = 700 - 200 = 500 meters.
154
A 150-meter-long train running at 54 km/hr takes 35 seconds to completely cross a platform. What is the length of the platform?
Answer:
375 meters
Step 1: Convert speed to m/s. Speed = 54 * (5/18) = 15 m/s. Step 2: Total distance = 15 * 35 = 525 m. Step 3: Platform length = 525 - 150 = 375 meters.
155
A train 120 meters long crosses a platform in 35 seconds. If its speed is 36 km/hr, find the platform's length.
Answer:
230 meters
Step 1: Convert speed to m/s. Speed = 36 * (5/18) = 10 m/s. Step 2: Total distance = 10 * 35 = 350 m. Step 3: Platform length = 350 - 120 = 230 meters.
156
What is the length of a bridge if a 300-meter-long train running at 108 km/hr crosses it in 25 seconds?
Answer:
450 meters
Step 1: Convert speed to m/s. Speed = 108 * (5/18) = 30 m/s. Step 2: Total distance = 30 * 25 = 750 m. Step 3: Length of bridge = 750 - 300 = 450 meters.
157
A 250-meter-long train running at 90 km/hr takes 25 seconds to cross a tunnel. The length of the tunnel is:
Answer:
375 meters
Step 1: Convert speed to m/s. Speed = 90 * (5/18) = 25 m/s. Step 2: Total distance = 25 * 25 = 625 m. Step 3: Length of tunnel = 625 - 250 = 375 meters.
158
A train 200 meters long crosses a platform in 25 seconds at a speed of 72 km/hr. Find the length of the platform.
Answer:
300 meters
Step 1: Convert speed to m/s. Speed = 72 * (5/18) = 20 m/s. Step 2: Total distance = 20 * 25 = 500 m. Step 3: Length of platform = 500 - 200 = 300 meters.
159
A 150-meter-long train running at 54 km/hr takes 25 seconds to cross a bridge. What is the length of the bridge?
Answer:
225 meters
Step 1: Convert speed to m/s. Speed = 54 * (5/18) = 15 m/s. Step 2: Total distance = 15 * 25 = 375 m. Step 3: Length of bridge = 375 - 150 = 225 meters.
160
A train 100 meters long traveling at 36 km/hr crosses a platform in 25 seconds. Find the length of the platform.
Answer:
150 meters
Step 1: Convert speed to m/s. Speed = 36 * (5/18) = 10 m/s. Step 2: Total distance covered = Speed * Time = 10 * 25 = 250 m. Step 3: Length of platform = Total distance - Length of train = 250 - 100 = 150 meters.