Official Quant thread for CAT 2013

If (a × b)(c × d) = (e × f); (c × d)(e × f) = (a × b) and (e × f)(a × b) = (c × d) where a, b, c, d, e and f are nonzero integers, then the sum of all the possible values of (a + b + c + d + e + f) is


a 8

b 6

c 0

d 16


Please post detail explanations!!

solve for x, x^2/3-4x^1/3-12=0

I need the working guys.

A team of 8 student goes on excrusion in two cars of which one can seat 5 and other only 4 in how many ways can they travel ?

(0.35) Base 10=(?) base 2 Approach please?


coefficient of x^3.y^4.z^5 in(xy+yz+zx)^6

  • 40
  • cbd
  • 55
  • 60
  • 50
  • 30

0 voters

A total of 501 digits are used to number the pages of a book as 1,2,3,4.. so on. which one of the following is a factor of total number of pages in the book?

i have the solution but no help. pls someone try. thanks

answer- 7

From Quantexpert Mock 11






Let us assume that the earth becomes a cube. What is the ratio of the minimum distances that a person has to travel along the surface to get to a point diagonally opposite on the cuboidal earth to the distance that he would travel on the spherical one. (Assume that the length of a side of the new earth is the radius of the earlier one.)
-@A

Find the remainder:
99^99 divided by 101?

No OA...plz share ur approach

If 3p+1 and 3q+1 are the roots of the equation x^2-7x+10, find the equation whose roots are p and q.

The letter of the word ENDEAVOUR are arranged in all possible ways . the number of arrangement when A and V are not together are ?

83, 121, 16, 49, 169, 256, ______

Let n be a positive integer. Let k be the number which needs to be subtracted from n to get the nearest perfect square less than or equal to n and let l be the number which needs to be added to n to get the nearest perfect square more than or equal to n. If (nkl) has p number of factors then which of the following is definitely true?

  • None of the above
  • p2 is of (4k + 1) type
  • p is square of an odd number
  • p must be a prime

0 voters

Guys please chk this question, I want to know is there any standard approach, some funda, to solve, or we use headbanging? :banghead: :banghead:
I have this strong feeling, may be i heard from somebody, similar ques, on easier grounds though, was there in CAT12. not sure

The first two terms of a series are 'a' and 'b' respectively, (a, b > 0) and thereafter, every subsequent term is the average of the previous two terms. What is the 12th term of this series?

a (171a + 341b)/512

b (343a + 681b)/1024

c (341a + 683b)/1024

d (683a + 1365b)/2048


Need a shorter method for this. So plz post explntns! thnx 😃

Suppose for any positive integer n, s(n) is the remainder when n is divided by 19. Find the number of pairs of integers (a,b), such that 1≤a≤b≤18, and for all k=1,2,...,18


k+s(ka)+s(kb)≥20


What is the number of times in a day
1. When the hands of the clock are at 0*
2. When the hands of the clock are at 180*
3. When the hands of the clock are at 90*
4. When the hands of the clock are at 10*


There are some coplanar straight lines meeting at a point. The angle between consecutive lines are x0, 2x0, 3x0, ···, nx0. If the minimum angle is 24°, then the value of n may be


A. 3

B. 4

C. 5

D. 6


Two soccer teams are playing inside an arena which can hold up to 3000 fans. As they were arriving, the fans were asked which team they wanted to win. 5/14 of the fans wanted team A to win the game, and 9/15 of the fans wanted team B to win. If nobody wanted both teams to win, what is the most number of people that were at the game that did not care which team won?

Q3