Official Quant thread for CAT 2013

Find the value of K,if the equations x^3+Kx^2+x+3=0 and x^3+2x^2+Kx+2=0 have a common root?


a. -2

b. 3

c. 2

d. eiher b or c


Guys, please help with the approach to solve this.
thanks 😃

How to solve this?

In how many ways 12 identical ball can be put in 4 identical boxes?

A B-School has 120 students enrolled in its three programmes; MBA, PGDBA and FPM. The fees of the MBA programme are Rs.2.5 lakh per year, while those of the PGDBA and FPM programmes are Rs.5 lakh and Rs.10 lakh respectively. If the total fees collected by the B-School across all the 3 programmes are Rs. 3.625 crores, what could be the maximum number of students enrolled in the MBA programme (Assume that at least 1 student is enrolled in each of the three courses)?

suppose we are given a cube and 4 identical balls. In how many ways can the ball be arranged on the corners of the cube? Two arrangement are considered the same if by any rotation of the cube they can be transformed into each other

  • 8
  • 9
  • 11
  • 7

0 voters

The AMS MOCK CAT test CATALYST 19 consists of four sections. Each sections has a maximum of 45 marks. Find the number of ways in which a student can qualify in the AMS MOCK CAT if the qualifying marks is 90.@scrabbler

A 36546
b 6296
C 64906
D NONE

Please suggest a good book for CAT quantitative aptitude

If each permutation of the digits 1,2,3 ,4,5,6 is listed in the increasing order of the magnitude , the 289th term will be
options- a.326541 b.341256 c. 356241 d.314256
please explain it

"What is the remainder when 1! + 2* 2! + 3* 3! + 4* 4! +...... 12* 12! is divided by 13?"

There are two geometric progressions that satisfy the following conditions: the sum of the first three terms is 52, the third number is 9/4 times the sum of the first two. Find the sum of the first terms in the two progressions.

In parallelogram ABCD, angle A > 90°. ABP and ADQ are two equilateral triangle outside the parallelogram. Find angle PCQ.

What is the least value of the expression (x-1)(x-3)(x-4)(x-6) + 10,for all real values of x?

A man born in 1703 is having age 'abc' in year 'pcba', where a, b, c, p are single digit numbers. How many different values pcba can take ?

Product of a million whole numbers is a million, find the minimum possible sum of all these numbers.

How many integral values of (x, y) will satisfy the following inequality:-
√(x² - 6x + 25) + √(y² - 8y + 25) ≤ 7

a) 0
b) 1

c) 2
d) 3
e) more than 3

How many different values of positive integer 'n', where n

A can do a piece of work in 12 days and B can do the same work in 24 days. if A and B work together for 2 days and then A work alone for the remaining to complete the work. how many more days will be required?

Q1

QuantExpert - Q.O.D


In how many ways four digit numbers, formed by using non-zero digits, unit place is less than ten's place but not less than hundred's place digit?

ABCDEF is a regular hexagon with side length 4(3^(1/4).Points G,H,I,J,K,L are chosen uniformly at random, one from each side of the hexagon. What is the expected area of hexagon GHIJKL?