# Question Bank - Arithmetic - Shashank Prabhu, CAT 100 Percentiler

• Q42) The road from village P to village Q is divided into three parts. If the first section were 1.5 times as long as it is now and the second one were 2/3 as long as it is now, then the three parts would be all equal in length. What fraction of the total length of the road is the third section?

[OA: 5/18]

• Q45) Ramesh and Shyam are competing in 2000 m race. Ramesh gives Shyam a lead of 200 m . Initially Ramesh runs at 4 times Shyam’s speed, but after crossing the 1200 m mark, he slows down to 1/8th of this initial speed, while Shyam continues to run at his original speed. If Ramesh and Shyam meet for the second time at distance ‘a’ m from the finishing line then find ‘a’.

[OA: 100]

• Q55) A particular month has 5 Tuesdays. The first and the last day of the month are not Tuesday. What day is the last day of the month?

[OA: Wednesday]

• Q59) Every blip is a blop. Half of all blops are blips, and half of all bleeps are blops. There are 30 bleeps and 20 blips. No bleep is a blip. How many blops are neither blips nor bleeps?

[OA : 5]

• Q64) Mr. X sold two books, one at a loss of 11.11% and the other at a gain of 25%. If the two books had cost him the same, what was his approximate overall gain/loss?

[OA: 6.9 % Profit]

• Q70) The speed of a railway engine is 45 kmph when no bogie is attached to it. It is observed that the reduction in the speed of the engine is directly proportional to the square root of the number of bogies attached to it. If the speed of the train is 9 kmph when 16 bogies are attached, find the maximum number of bogies that can be carried by the engine.

[OA: 24]

• Q83) A total number of 140 criminals in a jail are divided into three groups A, B and C. The average number of crimes committed by criminals of groups A, B and C are 10, 12.25 and 13 respectively. If there are a total of 45 criminals in group C, which of the following is true regarding K, where K is the average number of crimes committed by all the 140 criminals put together?
a) K could be less than 11
b) K must be greater than 11
c) K must be greater than 12
d) K cannot be greater than 12

[OA: Option b]

• Q85) A plane travelled a certain distance at a uniform speed. Had the speed been 216 kmph more, the journey would have taken one hour less and had the speed been 108 kmph less, the journey would have taken one hour more. Find the distance (in km) travelled by the plane.

[OA: 1296]

• Q92) Himanshu, Saral and Vikas start running from the same point in the same direction along a straight line at 07 : 00 a.m., 08 : 00 a.m. and 10 : 00 a.m. with speeds of 2 kmph, 3 kmph and 4 kmph respectively. When Saral catches Himanshu he sends Himanshu back (along the straight line) immediately to deliver a message to Vikas. At what time would Himanshu meet Vikas?

[OA: 11 AM]

• Q97) The percentage profit earned by selling an article at Rs. 1,920 is equal to the percentage loss incurred by selling the same article at Rs. 1,280. At what price (in Rs.) should the article be sold to make a profit of 25%?

[OA: 2000]

31

199

44

22

47

102

129