Official Quant thread for CAT 2013

If a, b are roots of x^2 + px + q=0 and g,d are the roots of x^2 + px-r=0, then (a-g) (a-d) is equal to


q+r
q-r
-(q+r)
-(p+q+r)

OA -d 😠

if x^4 + 1/x^4 = 47, find the value of x^3 + 1/x^3 ?


9
18
12
27

OA is 18

Need Approach:
A's age is 5/3 times of B's age. B is now 3 times as old as he was, when A was as old as B is today, Find A's age when b was half as old as A is now.
options: 40/50/60/Data Insufficient

Q3



highest power of 3 in 58!-38!?


Need Approach:
Considering the equations 2x-3y=8 and px-qy=66, answer the following questions:
A. Find 4(p+q) if the equations have if equations have infinite solutions. (options: 162/163/164/165)

B. Find p if q=9 and the equations have no solution. (Options : 4/5/6/7)

Please provide the solution.

P and Q are center of 2 circles...
Find the length PQ ??

Find the number of natural number solutions of x1 + x2 + x3 + 3x4 = 15.

26. There are 6 balls of different colours and 3 boxes of different sizes. Each box can hold all the 6 balls. The balls are put in the boxes so that no box remains empty. The number of ways in which this can be done is:

a)534

b)543
c)540
d)528

Any formula for the relation between circumradius and the side of an isosceles triangle?

or relation between area of an Isosceles triangle and circumradius??

Let A be the set of 4 digit numbers a1a2a3a4 where a1>a2>a3>a4 ,then how many values of A are possible? PSA

  • 210
  • not
  • 126
  • 84

0 voters

Ans:

A.50%
B.45%
C.40%
D.30%

Please explain this question solution

find the area of the shaded region ?

A number of 5 digit numbers in which no two consecutive digits are identical,is:

  • not
  • 9^5
  • 81*512
  • 9*2^8

0 voters

Regarding my last ques many where asking how was it 50%?

Can anyone tell how can i have unlimited access to NYtimes editorials?
They are charging us to read the whole stuff there.

Hello.....
Any short cut to clear CAT (with 100 percentile)

Guys please help me with this question- A can is full of paint.Out of this 5 liters are removed and a thinning liquid substituted. The process is repeated. Now the ratio of paint to thinner is 49:15. What is the full capacity of the can?


a)20 lts b)60 lts c)40 lts d)50 lts

how many 6 digits palindrome no. are there if we have 1 , 2 ,3 ,4 ,5 as choices .??


In the figure given below, AD, BF and CE are the altitudes of triangle ABC. If AB = AC = 25 cm and BC = 30 cm, what is the length (in cm) of EH?