Official Quant thread for CAT 2013

@kkjain2904

find the missing number...



18,35,120,?,2480,14910.



Please help with explanation



1) 394



2) 492



3) 450



4) 496



5) none of these Skip



Question:

'a' and 'b' are any two distinct numbers belonging to the set {1,2,3,4,5,6}. How many ratios of the form (a/b) can be formed which are not integers.

Options:


A man invests 33000 in stocks of Rs. 90 at 3% interest. After a year he sells these stocks at Rs. 120 and purchases stocks of Rs. 110 at 5 interest. Find difference in income.

another CMAT question 😛


(1/4)log 625 -3 log 6 + log 432 is ????

.Wine and water is there in first mixture in ratio of 7:4 and in second mixture in ratio of 9:10. What is the ratio the two should be mixed to get a mixture in the ratio of 9:6



please explain

Two typists share a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, only 11/20 of the job has been completed. When the job is finished, it turns out that each typist has done exactly half of the work. How many hours would it take each typist, working alone, to complete the job?

ans ; 10 n 8 hours resp .. how to solve it

A man is moving"up"escalator in 30 seconds.the same man can walk down the "up" escalator in 90 seconds .assume that his walking speed is same upwards and downwards .how much time will he take to walk up the escalator when it is not moving?


plz explain the approach

a)30 sec
b)45 sec
c)60 sec
d)90 sec

Let x and y be the two positive nos such that x+y = 1, then the minimum value of (x+ 1/x)^2 + (y + 1/y)^2 is.....
1. 12 2. 20 3. 12.5 4. 13.3



A man plays a game of casino where he gets $4 for every even number and $2 for every odd number. He invests $3 per round. At the end of round 2, what is his expected return ?

Given that x + y +2z = -9, then find the minimum value of x^2 + y^2 + 2z^2 + 2yz

how many AP's with first term 2 and last term 999 can be formed having atleast 3 terms?

a)1
b)3
c)5
d)none

A man plays a game of casino where he gets $4 for every even number and $2 for every odd number. He invests $3 per round. At the end of round 2, what is his expected return

A women divided her land among her four daughters. She gave 6 acres and 20% of the rest to her the first , 9 acres and 20% of the rest to her second , 8 acres and 20% of the rest to her third and 16 acres to her last daughters. She was landless in the end. What was the total area of land she had initially? ( IMP. QUESTION FROM CAT PERSPECTIVE)

I am getting 61 as answer , book says 96...confused.😉😉

An intelligence agency has developed an encryption algorithm for its field operatives. The operative has to send his/her message in words, which is converted to number(s) by the desk analyst as per a fixed mathematical operation. The desk analyst, on the other hand, has to send his/her message in the form of number(s) which are converted back to word(s) by the operative. An operative sends his message as 'LEOPARD', which is read by the analyst as 3567104. The analyst replies by sending the message 20750, which is read by the operative as 'TIGER'. If the analyst once sends his message as '465257', which of the following can never be the word as understood by the field operative?

OPTIONS

1)MONKEY

2)DXEKNP

3)VOWTEG

4)MODBNP

Let a be an integer, such that a^2 – 3a – 19 is divisible by 289. Find number of possible values of a.

OPTIONS

1)0

2)1

3)2

4)4

In a party, there were 30 men and few women. They danced in male-female pairs such that each of the men danced with at most 6 women while each woman danced with at least 5 men. What can be the maximum number of women present in the party?

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? (a) 1 (b) 1/256 (c) 81/256 (d) 175/25 -

Q).From a set of 52 cards,1 card falls down and from the remaining cards,2 spades are drawn out.Then find the probability that the missing card is spade?(with approach please)

  • 11/50
  • none of these
  • 1/8
  • 1/13
  • 1/4

0 voters

value of x : 3^(4x-3)^5 = 3 ^ (3/2)(81)^(x-1/3)

Ans : 91/96 i know simple hai .. but m struck up plz post the solution !!

The integer sequence x1,x2,x3.....is such that x(n+2)=x(n+1)-x(n) for n>=1. Sum of first 1492 terms is 1985 and of frst 1985 terms is 1492. Find sum of first 2007 terms.

1)3477 2)986 3)493 4)1491 5)573