# Question Bank - 100 Arithmetic Questions From Previous CAT Papers (Solved)

• First cycle :
P(1 - x/100)(1 + x/100) = P - 441
so (x^2/100) = 441/P -- (1)

Second cycle :
(P - 441) (1 - x^2/100) = 1944.81 -- (2)

From (1) & (2)
(P - 441) (1 - 441/P) = 1944.81
(P - 441)(P - 441) = 1944.81P
P^2 - 2826.81P + 194481 = 0
P = 2756.25

• @master_shifu ...IS their any other way to solve this question?

• @deepalis727

Work with ratios

Ratio of speed of N & S = 4 : 1
=> Ratio of time taken by N & S = 1 : 4
Total time taken = 1 hour
Time taken by N to cover the distance AB = 1/5 hour = 12 minutes
Time taken by S to cover the distance AB = 4/5 hour = 48 minutes
When the train was late by 20 minutes, total time available = 40 minutes
N doubled the speed, so time taken to cover distance AB = 12/2 = 6 minutes
So, S should cover the distance in 40 - 6 = 34 minutes
ratio = 6 : 34 = 1 : 6 (approx)

• @master_shifu
Can we not calculate the average speed by adding the total distance, i.e 9000 kms and then adding the total time taken , i.e. 25 hours + 24 hours + 1.55(halt in India) and then dividing those figures. Total distance/total time?

• @master_shifu In 19 th question CAT 2002 in arithmetic, the answer comes is 43.5

• @master_shifu total time taken would be (5+17.5+20) = 42.5

• @swati-jha Thanks Swati. Corrected the solution.
Mistake was in distance values and is now clean, hopefully :)
Happy learning!

11

11

6

5

21

145

21

21