Official Quant thread for CAT 2013

A moves down an escalator which is moving upwards and counts 150 steps.
B moves up the same escalator and counts 75 steps.
Knowing that A covers thrice as much steps as B in the same time.
How many steps are there??

x^[log(base 6)(8)] = 514 - 6^[log(base x)8]


a) 36

b) 64

c) 216

d) CBD

how many two digit numbers give same remainder when they divide 348 and 508

  • 11
  • 7
  • 12
  • none of these
  • 5

0 voters

To gain 10% on selling a sample of milk at the cost price of pure milk ,what quantity of water should be mixed with 50 kg of pure milk.

Given that 2^2010 is a 606-digit number whose first digit is 1, how many elements of the set S = {2^0, 2^1,2^2, …, 2^2009} have a first digit of 4?

  • 215
  • 205
  • 195
  • 295

0 voters

explain wit solution


@garry1337

Any simple approach for this :



A number when divided by 89 leaves a remainder of 7 and when divided by 113 leaves a remainder of How many such 5 digit numbers are there?



1) 9



2) 10



3) 8



4) None of these Skip



β€”

113 leaves a remainder of how much?u have nt mentioned that

The rates at which Alok and Bhaskar work are in the ratio 5 : 4. They work on alternate days to complete a job. Bhaskar started the job and he worked on the last day. The job was completed in 1 day more than the time that Alok alone would take to complete it. Find the time taken (in days) by them working together to complete the job.

4 1/9

3 1/3

4 1/3

4 4/9

how to prepare for the GK part in IIFT exam , and what is the weight-age of written Exam part ?


@nits2811 @Dante_ftw1 @harshavardhan89 @ahsish9virgo @Dexian ....


solve d questn as per attachmnt..!!

There are twelve metro stations between Rajiv Chowk and GTB Nagar metro station. In how many ways a metro can be made to stop at 4 stations such that no two of them are adjacent?
a)12C4- 8C4
b)9C4
c)12!-4!
d)9!-4!
e) none of these

I don't have the OA. Please show your approach as well 😁

On chessboard 2 squares are selected. In how many ways these squares can have one common side
a)56
b)28
c)112
d)16C2
e) (8C2)*(8C2)

I don't have the OA. Any help along with the approach used will be appreciated 😁

The internal dimensions of a tank 12dm, 8dm, 5dm how many cubes each of edge 7cm can b placed in the tank with faces parallel to the sides of the tank find also the space unoccupied

A) 35, 113 dm3 b) 1313, 31.13dm3 c ) 1309, 31.013dm3 d) 1309, 13.31dm3

x!>10^x

what is the min value of x?
a)24
b)25
c)26
d)27
approach plz

Two circles with diameters 16 cm and 8 cm overlap 2 cm as shown below in the figure. What is the ratio of areas of triangles AO'B and COD? [Given : AB > CD ] .



  • √7 : √3
  • √12 : √7
  • √3 : √7 2)
  • √7 : √12

0 voters

there are certain number of apples. If one puts 10 per packet then last packet contains 9, if he puts 9 per packet then last packet contains 8 and so on…. Find the total number of apples?

explanation plz??

consider the word INSTITUTE.

1. In how many ways can 5 letters be selected from the word?

  • 36
  • 40
  • 55
  • 41
  • 30

0 voters

How many arrangements can be made by taking 5 letters from the word INSTITUTE?

  • 4320
  • 7200
  • 2250
  • 2790
  • 8730

0 voters

There are five cities in a state and each of them is to be connected to exactly two other cities using telephone lines. In how many ways can this be done?

(a) 12 (b) 24 (c) 36 (d) 9

Determine the sum of all integer values of a for which the equation x^3βˆ’ax+a+13=0 has at least one positive integer solution for x.