Official Quant thread for CAT 2013

how to solve 7^77

Solution of the inequality: |x + 2| > |3x – 5| is

Q4






is there any formula for sum of n terms in HP?

geometry question .. plz help me with the approach

find the max value possible for f(x)=min[ (1/2) - (3 x^2)/4 , (5 x ^2)/4]
for range 0
a)1/3

b)1/2
c)5/27
d)5/16


I encountered a series problem where i had to calculate [25 x{1-(3/5)^8}]/(1-3/5). I lost a lot of time calculating values of higher powers.Is there a short-cut to calculate higher powers of numbers/ fractions / decimals?
e.g. (6/7)^9
(0.6)^10
(7)^53

If a, b and c are three positive integers in geometric progression, then the roots of the equation ax 2 + 4bx + 2c = 0 are

a)real

b)rational

c)imaginary

d)irrational


A boat travels 100 metres in 9.7 seconds. Find its average speed in m/sec, if the current speed is 0.4 m/sec in a direction favouring the boat.


There is a list of the 7 positive integer,such that (n+1)th number is always greater or equal to the nth number.the average of the first five numbers is 15, and the average of the last five numbers is 22.What can be the maximum value of 5th number in the sequence (a)22 (b)23 (c)28 (d)29


Rama had a stock of goods worth Rs.50000. He sold 10% of the goods at 15% profit and 40% of the goods at 10% profit. 25% of the goods were damaged by fire and the remaining goods were sold back to the manufacturing company, at a loss of 10%. What is the total loss suffered by Rama?

2. 333^555+555^333 is divisible by ? .................plz share approach...thanks in advance

  • 11
  • 37
  • 3
  • 2

0 voters

plz tell the approach of the question
@sannidhya87 @trial.verison

plz help with this ques
@sannidhya87 @ahsish9virgo @trial.verison

guys what is d approach?

how to calculate the length of common chord between two circles? (circle intersect at two points and are of different raddii) any formula?



When is this year's prepathon starting?

In how many ways can the numbers {1, 2, 3, 4, 5, 6} be ordered such that no two consecutive terms have a sum which is divisible by 2 or 3?

1. 6

2. 12

3. 15

4. 18

5. 24

In how many ways can the numbers {1, 2, 3, 4, 5, 6} be ordered such that no two consecutive terms have a sum which is divisible by 2 or 3?

1. 6

2. 12

3. 15

4. 18

5. 24

A bag contains 5 balls. A ball is picked randomly and was found to be red. What is probability that all the balls in the bag are red ?

  • any other value
  • 0.33
  • 0.5

0 voters