Weekly Revision Quant Quiz II IPM Indore 2022 II 25.07.2021 for IPM, CUET & BBA Exams Exams

Question 1

The speed of two Trains in the ratio 5 : 7, moving on parallel tracks but in opposite directions. If they cross a pole in 6 seconds and 8 seconds respectively. Then in how much time will they cross each other ?

Question 2

Two trains are running at 48 km/hr and 42 km/hr respectively in the opposite direction. Slow train is having half of the length of the other train and they crosses each other in 12 seconds. The faster train also passes a railway platform in 45 seconds. What is the length of the platform?

Question 3

Find out the speed of the Rajdhani Express is by what percentage more than the speed of the Mahaparinirvan Express if the two trains cross each other in 17 sec when they are moving in opposite direction, and in 4 min 15 sec when they are moving in the same direction.

Question 4

Two metros can run at the speed of 54 km/hr and 36 km/hr respectively on parallel lines. When they run in opposite directions they pass each other in one fifth time when pass each other in same directions. Find the length of metro having lower speed, when a person sitting in the faster metro observes that he passes the other metro moving in same direction in 30 seconds.

Question 5

Train A overtakes train B running in same direction in 36 seconds. The ratio of speeds (in km/h) of trains A and B is 3:2 and the lengths of trains A and B are 160 meters and 200 meters respectively. If train B crosses a 300 meter long platform in T seconds and train A crosses a bridge in (T + 3) seconds, find the length of the bridge?

Question 6

A man rows a distance of 46 km distance in a river and come back in 11 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.

Question 7

The ratio of downstream speed of a boat and speed of boat in still water is 6 : 5. If upstream speed of boat is 8 km/hr, then find the time taken by boat to covers 36 km in downstream.

Question 8

A boat takes 9 hours 36 minutes less to travel a distance of 32 km downstream than to travel the same distance upstream. If the speed of boat in still water is 8 km/h then find speed of the stream.

Question 9

Boat A and boat B move at different speeds in still water. If they are to cover a distance of 15 km upstream and then 15 km downstream in a river moving at 6 km/h, the ratio of time taken by A and B is 5 : 7. What is the speed of boat B, if speed of boat A is 15 km/h?

Question 10

Ashutosh can swim in a river with a speed of 12 km/hr in still water. He goes 48 km downstream and comes back in a total time of 12 hours. By what approximate percentage is the speed of the stream (in km/hr) more or less than the upstream speed of Ashutosh?

Question 11

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X² – 3X – 10 = 0

II. Y²– 19Y + 70 = 0

Question 12

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X²– 12X + 32 = 0

II. 2Y²– 9Y + 10 = 0

Question 13

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X²+ 10X + 24 = 0

II. Y²– 14Y + 45 = 0

Question 14

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.

I. 11p² − 38p − 24 = 0
II. q² − q − 30 = 0

Question 15

Direction: In the following question, there are two equations. Solve the equations and answer accordingly:

I. 12p² – 32p – 240 = 0
II. 4q² + 32q + 64 = 0

Question 16