Official Quant thread for CAT 2013

The circle Cn, where n is a natural number, is the incircle of triangle Tn and the circumcircle of triangle Tn+1. The sides of each triangle Tn are in the ratio 24 : 45 : 51. What is the (approximate) ratio of the area of C1 to the area of T2?


PnC Revision :-

There are 5 girls and 4 boys standing in queue. They are to be arranged in such a way that no two boys are together.

1) How many ways it can be done?
2) If one of the guys is Sachin, and he always needs to be standing at the end of the queue.
3) One of the girl is Reena, and she always needs to standing at the end of the queue.
4) Sachin should always be standing ahead of Reena.
5) Sachin and Reena should be standing in the 1st 2 positions.

If the roots of the equation 2^m*x^2+8x+32^m=0 are equal and real. WHat is the value of m?

Three outlets of the same capacity when opened together can empty a tank of 3600 gallons capacity in 16 hours. If the tank is going to be filled by a tap at the rate of 500 gallons/ hour what are the minimum numbers of outlets of the same capacity that have to be opened so that the tank is never overflows?
5
7
4
3

Please share the approach as well thanks

p and q strt together from starting pt and run on a 5km circular track in a race of 20km,..the ratio of their spped=2:5.hw many time do thy meet on track other thn the starting pt if thy run in clockwise direction...😠😠😠

If S=5^8+15^8+25^8+35^8+45^8+55^8+65^8+75^8 then what is the remainder if S is divided by 24?

0
5
8
16

if you express 1/97 in decimal form its a recurring decimal, find the last and second last digit from right side in that recurring part.

A set consists of nine different smallest integers and each number in the set is formed by using the digit 9 only. The average of these nine numbers does not contain the digit

0
2
4
6

Circular coin of unit radius is flipped and it falls on a square of side 10 units. what is the probability that the coin lies completely inside the square?

In the figure given below AE : EC = 1 : 7, AD : DB = 1 : 3, BF : FC = 2 : 3 and the area of Δ ABC = 160 square units

find area of triangle ADE and DEF ?

KINDLY TELL ME THE TRICK FOR SOLVING THIS KIND OF QUESTNS

Let AH, BM be the altitude and median of triangle ABC from A and B.

If AH = BM, ffind angle MBC.

hey !! Is pagalguy planning to begin the marathon like the last year???? Anyone who knows any place where i can practice questions......i need to practice !! Please help !!😟

In how many ways can 5 different balls be distributed across 4 identical boxes?

guys the MDI admission guidelines state the following:

"The percentage should be computed after taking into account all subjects/papers (5 subjects in 10th including one Language subject and English language and 5 subjects in 12th including Language subject) that you appeared for in the examination even if some of these subjects/papers are not considered by the Board/ University/ Institute for computing the final percentage of marks and awarding class/distinction."
now my doubt is that on 1 hand they are saying that we have to include marks of all papers given by us but in the bracket its written that 5 subjects. What should a person do if he/she had taken sanskrit in 10th std but had also given hindi exam i.e. 6 papers in totality??? should hindi marks be included or not??


a distance of 5000km to be covered by a car having 3 wheels and 2 spare wheels .

I. what should be the distance traveleed by each wheel ie each of them travels the same distance .
II. At least one wheels be chnged after how much distance.
III. At what distance atleast 2 wheels have been changed.

a cloth merchant claims to sell cloth at 10 % loss. but he uses a false meter rod and actually gains 20 % . wht is the actual lenght of his rod.

Nine dots are placed on a piece of paper. Find the maximum number of right angled triangles which can be formed by joining any three dots.

18,36,40,44,48

how many ordered pairs a and b exist such hat when their sum is subtracted from their product, the result is 52?

  • 2
  • 3
  • 0
  • Infinite

0 voters

3x+4y+5z=20, find the max value of x^2 y^2 z, (x,y,z>0)

A two digit number equals the excess of the square of its unit digit over the square of its tens digit. What is the sum of its digits?

a)9
b)10
c)11
d)12