Official Quant thread for CAT 2013

Highest power of 3 available in 58! - 38! ?

  • 17
  • 19
  • 18
  • 10

0 voters

1234567891011121314151617................................484950 divided by 16 ?Remainder?

  • 4
  • 6
  • 5
  • 3

0 voters

which is odd one ...?

  • 41
  • 51
  • 61
  • 31

0 voters

Three dice, whose all six faces are marked '1' to '6', are thrown. The number of ways of getting a sum of 16 is

  • 12
  • 6
  • 4
  • 3

0 voters

Sum of ...1/1*5 + 1/5*9 + 1/9 *13..............+1/221*225?explain?

  • 56/225
  • NOT
  • 28/221
  • 56/221

0 voters

A+B+C=16..no. of possible values that A,B,C can take given that 6>=A,B,C>=1

Answer the following questions on the basis of the information given below:

f1(x)= x for 0

= 1 for x = 1

= 0 otherwise

f2(x)= f1(-x) for all x

f3(x)= -f2(x) for all x

f4(x)= f3(-x) for all x


Q1) How many of the following products are necessarily zero for every x
f1(x)f2(x), f2(x)f3(x), f2(x)f4(x)?

(1)0 (2)1 (3)2 (4)3


Q2) Which of the following is necessarily true?

(1)f4(x) = f1(x) for all x (2)f1(x) = -f3(-x) for all x

(3)f2(-x) = f4(x) for all x (4)f1 (x) + f3(x) = 0 for all x

Don't know the OA taken from a blog !!


1) 1 2) 2 are my answers 🍻

A large watermelon weighs 20 kg with 96% of its weight being water. it is allowed to stand in sun for a while and some of the water evaporates so that now only 95% of it is water. what would be its reduced weight?


How many real roots does the equation x^4 - 4x^3 + 3x^2 +2x -6 =0 have ?

Q3






Three circles with radii 1 cm each touch each other externally while a bigger circle encloses all the 3 circles.A smaller circle is drawn in the area enclosed by the 3 circles, concentric wid the bigger circle such dat it touches all 3 circles.Find ratio of radii of largest circle to smallest circle?

  • 4-2√3
  • 2+√3
  • 7+4√3
  • 3+√3

0 voters

the remainder of 32^32^32/7 ?
plz explain

if All d letters of the word SEQUESTERED be arranged as in dictionary form wt is 50th word ?

In how many ways the letters of d word AFLATOON be arranged if d consonants and vowels must occupy alternate places?


Tanya and Sanya decided to invest some money in the ratio 7: 6 for the same period in a business. At the end of the year, 20% of the profit was given to 'old age home'. Out of the remaining profit, 50% was to be reinvested as capital and the remaining profit was to be divided in the ratio of their capitals. If the difference in their shares is Rs. 4,400, what was the total profit?

Rs. 123,000

Rs. 130,000

Rs. 143,000

Rs. 156,000

Rs. 160,000

Please post how to proceed with this question

Solve for x

  • please share approach
  • Na

0 voters

On a straight line of length 10cm, two points A and B are selected at random. what is the probability that AB>4?

The sum of two numbers is X and the ratio of the first number to the second number is m/n the first number is

mx/m+n
nx/m+n
mx+nx/m+n
None of these

pl share your approach as well with the answer thanks in advance

An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja, have 60 kg of luggage between them, and are charged Rs. 1200 and Rs. 2400 respectively for excess luggage. Hand the entire luggage to one of them, the excess luggage charge would have been Rs. 5400.

Q1) What is the weight of Praja €˜s luggage?

(1) 20 kg

(2) 25 kg

(3) 30 kg

(4) 35 kg

(5) 40 kg

Q2) What is the free luggage allowance?

(1) 10 kg

(2) 15 kg

(3) 20 kg

(4) 25 kg

(5) 30 kg €‹