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TSD - 2 || Quantitative Aptitude || CAT 2021 || 23 April (App update required to attempt this test)

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Question 1

A bus travels at the rate of 54 km/h without stoppages and it travels at 45 km/h with stoppages. How many minutes does the bus stop on an average per hour?

Question 2

The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed. How long would he have taken to cover the distance?

Question 3

Gopi travelled 120 km by bus, 450 km by bike and 60 km by car. It took 13.5 h. If the rate of the bike is 3 times that of the car and 1.5 times that of the bus. Find the rate of the bike.

Question 4

A person has to cover a distance of 290 km in 15 hours. If he covers 7/10 of the distance in 3/5 of the time, then what should be his speed (in km/hr) to cover the remaining distance in the remaining time?

Question 5

A bus travelling at 80 km/hr uses 40% more petrol to travel a distance than it does when it travels at a speed of 65 km/hr. If the bus can travel 58.8 km on a litre at 65 km/hr, how far (in km) can the bus travel on 10 litres at 80 km/hr?

Question 6

A car did a journey in t hours. Had the average speed been x kmph greater, the journey would have taken y hours less. How long was the journey?

Question 7

Krishna has to reach a certain place at a certain time and he finds that he will be 5 minutes late if he walks at 2 km/hr and 15 minutes earlier if he walks at 4 km/hr. Find the distance he has to cover.

Question 8

Distance between A and B is 1200 km. If they start moving towards each other at same time, they will meet in 24 hrs. If A starts 10 hrs after B, then they will meet in 20 hrs. What are their respective speeds?

Question 9

A girl completed her journey by car at variable speeds. If she covered 20% of the distance at a speed of 10km/hr, 50% of the distance at 25 km/hr and the remaining distance at 7.5 km/hr. Then, what was her average speed during the entire journey?

Question 10

Sanju travelled 1500 km by air which formed 3/5th of his trip. He travelled one-fourth of the trip by car and the rest by train. The distance (in km) travelled by train was
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