Official Quant thread for CAT 2013

A can had 100 litres of pure milk 20 litres of its contents is replaced by 20 litres of water again 20 litres of its contents are replaced by water find ratio of quantities of milk and water now??
P.S easy one though i need different methods i always forget the method which i solve :banghead:

A farmer has five haystacks in one field and four haystacks in another. How many haystacks would he have if he combined them all in one field?

6 Balls of different colours are to be distributed among 2 boys. What is the probability that each boy gets the same number of balls?


  • 15/64
  • 3/8
  • 1/2
  • 5/16

0 voters

At an election there are 5 candidates and 3 members are to be selected. In how many ways a voter can vote?


The answer is given as 25. I am unable to solve it. I wish somebody could explain the solution.

Let P = {n! + 1, n! + 2, ..., n! + n} such that 'n' is a natural number greater than 42. At the most, how many elements in set P can be prime numbers?

N bells toll at different regular intervals all of which are multiples of two minutes. If all the bells tolltogether for the first time at 11:00 a.m. and ninth time at 3:00 a.m. on the next day, what is themaximum possible value of N?

dnt knw OA....plz share approach!!
  • 24
  • 16
  • 60
  • 12

0 voters

In how many ways can we select 4 numbers from 1 to 13 such that no 3 of them are consecutive??

please post your approach. . .

How many different terms does the product (a + b + c + d + e + f)(c + d + e + f + g) have?

In an equilateral triangle Ξ”ABC, D divides BC in the ratio 2 : 1 while E divides AC in the ratio 1 : 2. Find BE : ED.

1. 4:3

2. 2:root3

3. root7:root3
4. Cannot be determined


If A and B are two sets,with n(A)=5 and n(B)=3,the number of functions possible from A to B,which are not surjections is
96,243,125,93😠

The indices of highest power of 5 in N! and M! are 64 and 28 respectively. Find max difference between values of N and M . Approach plz?

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0 voters

A blind man rolls a fair dice marked β€œ1”, β€œ2”, β€œ3”, β€œ4”, β€œ5” and β€œ6” on its six faces. After the first rolling, he erases the number on one of the six faces of the dice and marks it with β€œ1”. He rolls the dice again and erases the number on one of the faces and marks it with β€œ2”. He repeats this exercise four more times and marks β€œ3”, β€œ4”, β€œ5” and β€œ6” on faces of the dice in the subsequent trials. What is the probability that the face initially marked with β€œ3”on the fair dice, still has β€œ3” marked on it, after the sixth rolling?? @

1.62.5%

2.57.5%

3.60.5%

4.50%


Please share the approach

the sum of the series...??
1/(root2+root1)+1/(root2 +root3)+........+1/(root120+root121) is..


14 identical toys are distributed among three kids. what is the probability that each receives atleast one toy and no two kids receive equal no of toys?


5 balls of different colors are to be placed in 3 different boxes (each box contains atleast 1 ball) What is the number of ways of doing this?

😠😠



CAN WE GIVE THE PAGAL GUY MOCK ANYTIME TOMORROW ? PLS CAN ANY ONE TELL ME THE PROCEDURE OF GIVING IT . AND ALSO HOW IS THE STANDARD OF THE MOCK ?

the diameter of the circle is 3 cm. AB and MN are two diameters such that MN

is perpendicular to AB. In addition, CG is perpendicular to AB such that AE:EB = 1:2, and DF is

perpendicular to MN such that NL:LM = 1:2. The length of DH in cm is

A takes twice time that B,C together complete a work.B takes thrice the time tat A,C take..If A increase his rate by 50% and C by 80% find how many days A,B,C working together can do 4 times the work that B alone can do in 72 days???

2^133 divided by 133 , remainder ? πŸ˜ƒ


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131