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
231
A cyclist covers a distance of 12 km in 45 minutes. What is his speed in km/hr?
Answer:
16 km/hr
First, convert the time from minutes to hours to match the desired speed unit. 45 minutes = 45 / 60 = 3/4 hours. Speed = Distance / Time = 12 / (3/4) = 12 * (4/3) = 16 km/hr.
232
How long will it take for a train traveling at 90 km/hr to cover a distance of 450 km?
Answer:
5 hours
Time is calculated by dividing the distance by the speed. Time = Distance / Speed. Here, Time = 450 / 90 = 5 hours. Therefore, the train will take exactly 5 hours to cover the specified distance.
233
If a person walks at 15 km/hr, how much distance will he cover in 4 hours?
Answer:
60 km
The formula for distance is Distance = Speed * Time. Given Speed = 15 km/hr and Time = 4 hours, the distance covered is 15 * 4 = 60 km.
234
A car covers a distance of 300 km in 5 hours. What is its average speed?
Answer:
60 km/hr
Average speed is calculated by dividing the total distance traveled by the total time taken. Here, Distance = 300 km and Time = 5 hours. Speed = 300 / 5 = 60 km/hr.
235
Convert a speed of 25 m/s into km/hr.
Answer:
90 km/hr
To convert a speed from m/s to km/hr, you multiply the value by the fraction 18/5. Therefore, 25 m/s = 25 * (18/5) = 5 * 18 = 90 km/hr. This conversion is crucial for standardizing units before applying formulas.
236
Convert a speed of 72 km/hr into m/s.
Answer:
20 m/s
To convert a speed from km/hr to m/s, you multiply it by the fraction 5/18. Therefore, 72 km/hr = 72 * (5/18) = 4 * 5 = 20 m/s. This is a fundamental conversion rule in time and distance problems.