Official Quant thread for CAT 2013

Using an inlet pipe P, it was planned to fill a tank by exact noon one day. P was opened at a certain time that day, but after some time a leak was spotted. It was immediately closed. In order to fill the tank by noon, another inlet pipe of the same flow rate as P was then opened. Had the leak not been spotted, the tank would have been 50% full by noon and completely full by 4 PM on that day. Find the time when Q was opened.

  • 10.20 am
  • 11 am
  • 10.40 am
  • 10.50 am

0 voters

How tough are the LR questions in pagalguy mocks when compared to TIME mocks and actual CATs?

how many lines can be drawn using 5 collinear and 5 non collinear points

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7^x+1-7^x-1=48. Anyone know how to solve this?


if the price of petrol increased by 30% and ,"y" intends to spend only an additional 20% on petrol,by how much % will,"y" reduce the quantity of petrol purchsed?



a.20 b.12 c.10 d.7.69

let [n,m]>1 where n, m are positive integer , what will be largest integer m such that [n^m] will divide the expression [ 1+n+ n^2+ n^3 .........n^255] if[n^m] is least integer greater than n ^m

option 64 , 128 ,256 none of these๐Ÿ˜

A and B start swimming simultaneously from two points P and Q respectively, on a river towards each other. A crosses a floating cork at a point S and B crosses the floating cork at a point T which is at a distance of 8 km from point S. A and B cross each other at a distance of 2 km from T. It is given that the direction of flow of the river is from P to Q and in still water, the ratio of speeds of A and B is 3 : 1. P,S, T and Q ( in that order) are on the same straight line and assume that A, B and the floating cork move along that line.Find the ratio of the upstream speed of A to the downstream speed of B.

a. 9 : 7 b. 6 : 5 c. 5 : 4 d. Cannot be determined



ANS : 9:7

Please post any method other than forming equations, as making equations and solving them is taking too much time.

find the sum of 1^3 - 2^3 +3^3 - 4^3.................................199^3 ?? any easy method ?

hows the pagalguy counting the scores? +3-1 or +4-1???

1 observation and 1 genuine advice to all the fresher puys here. dont go with the scores most are posting in these last few mocks(except the udt n dt guys, they are gods) , u will notice that these scores dont match in the toppers list ๐Ÿ˜› ๐Ÿ˜› trust me i have seen this last year also its demoralising to see the scores in centuries here wen they arent even in the last. and for me, i am switching off pagalguy till cat now.. next stop is iift,il be back then. all the best guys ๐Ÿ˜ƒ

Cricket Enthusiasts Please Help me with the stats.
An attachment has been attached. Kindly help me understand how they have calculated average. What is the difference between matches and innings. Till now both were same for me. Matches= innings. But ๐Ÿ˜ž

(2^82)/27. Find the remainder?


A tank is fitted with two taps A and B. The tank can be filled by opening A for two hours and B for 9 hours or alternately by opening A for 3 hours and B for 6 hours> if the tank has to be filled by using A alone? How many hours will it take?


Can anyone please send me d pdf of aimcat 1407 solutions. ?.

A car after traveling 18 km from a point A developed some problem in the engine and speed became

4/5 of its original speed. As a result, the car reached point B 45 minutes late. If the engine had

developed the same problem after traveling 30 km from A, then it would have reached B only 36

minutes late. The original speed of the car (in km per hour) and the distance between the points A

and B (in km.) is

1*(1!)+2*(2!)+3*(3!)+4*(4!)+......+2012*(2012!)

approach plz...

The sum of n terms of two arithmetic progressions are in the ratio (4n - 3) : (5n + 2). The ratio of their nth terms is ??

Question:- f(3b-2)=a-2 and f(a+2)=b+6, a and b are real numbers. find the sum of a and b.Please share approaches

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E is a point on the side AB of a rectangle ABCD, the adjacent sides of which are in the ratio 2 : 1. If โˆ AED = โˆ DEC, then what is the measure of โˆ AED?

  • 45
  • 75
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  • 15

0 voters

If two people A and B have speeds in the ratio a:b (expressed in the simplest form) and moving towards each other on a circular track, then their number of meeting points is a + b. Are these (a+b) meeting points always spread across the circle symmetrically?