Official Quant thread for CAT 2013

Six men and two boys working together can complete a piece of work in 2 1/4 days. If the number of days taken by 5 boys to complete the same work is 4 more than that taken by 3 men, then the efficiency of a boy is what percent that of a man?

share any short method u noe other than the quadratic eqn. method.

there are six people a, b,c,d,e,f among whom a sum of rs 50 is to be distributed in such a way that the difference between the amount of a and b is equal to the difference between the amount of e and f. further, b has twice the amount that d has and c has thrice the amount that e has. it is also known that the amount each one has is an increasing order from f to a. what is the amount that f, b and a have individually?


How do you find sum of an A.P.,in which the difference is increasing by a constant number.
Such as in AP
1,3,6,10......up to 100 terms.
Kindly explain in full.Thank you

if A & B are two sets such that n(A)=5 & n(B)=3 , the number of functions possible from A to B, which are not surjections is ?
explain it in detail. ๐Ÿ˜ 

what is the sum of coeff. of the power of x with even indices in the expansion of (1-x)^30??
puys approach please??



Four distinct coins are placed into one or more of five different boxes randomly. Find the probability that exactly 3 boxes will have at least one coin.


How do you do this?please help

has anybody solved AIMCAT1417..PLS RPLY

k is a natural number such that 1โ‰ค k โ‰ค 78, for how many values of k is the tens digit of 31^k equal to 6

What is the remainder when N=1212121212.. till 300 digits is divided by 99?

O is the Centre of Circle and Triangle AOB is a right angled triangle. If area of Triangle AOB is 54, what is the area of the circle?

  • 123
  • 135
  • None
  • 147

0 voters

Arey how to handle under-root wale Inequalities ?

1. (x^2 -1)* _/ (x^2 - x -2) >= 0

2. _/ (x+7)
I dont want complete answer Only approach will be fine.

@sagarcat @rubikmath


Mahesh marked an article at x% above his cost price. He sells it after offering a discount but still makes a profit. Which of the following cannot be the discount (in percentage) he offered?

  • None of these
  • x%
  • 100/(100+x)%
  • 200/(100+x)%

0 voters

in how many ways can 45^2 be written as sum or difference of two non-zero perfect squares?

  • 8
  • 11
  • 9
  • 10

0 voters

what is the number of terms in the expansion of (1+x +x^2+x^3+x^117)^5


approach please

In Navratra a society of three families (each family has three member a father, a mother & a daughter) wants to worship Goddess Durga. They decided that in a day one person of the society will do Puja. So they divided all nine days among them (9 people) such that within a family mother will do puja after father and daughter will do puja after father and mother. Then how many different way they can do Puja in Navratra.


(x-2a)(x-a)(x-5a)(x-11a) + ka^4 ... for what min value of k dis expression will become a perfect sq??

  • 64
  • 81
  • 72

0 voters

a+b+c+d=30. How many possible number of solutions if all of them take odd values ? @placiddisciple approach plz

If N=3^a*3^b , a and b can take values range from 1 to 6. what is the probability that N is a multiple of 729?

  • 13/18
  • 5/18
  • 5/11
  • 13/11
  • None of these

0 voters

Please solve..and also please mention if there is a generalized method in solving these types of questions ( case questions) ,
making cases with 2 independent variables is easy but henceforth its gets really tuff
:banghead:

1010101.....94 Digits รท 375 Rem?? 1) 10 2) 260 3)350 4)20