Official Quant thread for CAT 2013

A does half as much work as B in 3/4th time. If both finish work in 75 days, how soon would A complete it alone?

@chandrakant.k
Just a suggestion for everyone. Could the forum be organized in such a way so that daily one topic is chosen (Topic of the Day) and everyone posts questions on that particular topic as much as possible. Obviously, people can and will post questions from other topics. This way, a thorough preparation can achieved by everyone.

Heinz produces tomato pure by boiling tomato juice.the tomato pure has only 20% water while tomato juice has 90% water.how many liters of tomato pure will be obtained from 20 liters of tomato juice?options:a) 2, b)2.4 c)2.5 d) 6 liters

find the number of integral solution |x|+|y|+|z|=15

a.900 b.901 c.902 c.903

Guyz and Galz ! Please help me in solving problems in "Inequalities" by Arun Sharma. Both LOD 1 and LOD 2.As per the explanations given at the end,he has suggested to solve all the problems solely from options(N.B- That's why he hasn't given hints and solutions to all the problems.) .But I think one can't depend on options especially where one of the option is "none of the above".And more to that how to cross check for all the values in a given range in options.Sometimes when I forget to cross check one value in the whole range(after cross checking some values from that range ) and go for that option ,to my surprise I find the answer to be "none of the above" .

2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

A finishes 3/5th of work in 2z hrs, B works twice as fast and finishes the remaining work. For how long did B work ?

  • (z/5)
  • (2/3)z
  • (2/5)z
  • (3/15)z

0 voters

Hi intelligent puys. Please clear this small doubt of mine. In the "solution" of the "question" below (question 14-15 in the pic) it says only two possibilities are there which are ABBAABBAAB and BAABBAABBA. But why not these possibilities - ABABABABAB and BABABABABA ?? (question is from. TIME SM1408, Ex 3 a)


Thnx

I won't be able to appear for Aimcat-1414 , to be conducted on 21 july. Will i be able to give it later that day ??

WHAT WOULD BE THE NUMBER OF DIGITS OF 3^73 ?

find the number of integral solutions of

[x^2]-8[x]+12=0 .
where[x] is largest integer less than or equal to x?

  • 3
  • 2
  • 1
  • more than 3

0 voters

Hi puys,

Can anyone please mail me questions and sol. of AIMCAT -1420,1419 and 1418. I din't give those tests and i don't have it on my TiME id.
Thanks.
My email - ramita024@gmail.com

data sufficiency problem:-

mixture m3 is obtained by mixing a litres of mixture 1 and b litres of mixture 2. find value of a + b.

statement 1:- concentrtion of alcohol in mixture m1,m2,m3 is 10%,15%,12%.

statement 2:- both a and b are prime.

  • aswer cannot get using both statement.
  • answer done by statement 2 alone
  • answer done by statement 1 alone
  • answer done by using both statements

0 voters

If a number is written as 100100100100100100100 in Base 2, how will it be written in Base 8?

please solve this.......

How many digits are there in the 5th root of any 94 digit no.??


please explain

Find the number of possible solutions of m! = a! + b! + c!, where m, a, b and c are positive integers.

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?

just want the answer to check my ans

The number of solutions to the equation
Log_[x-7]_(2x^2-x-91) = 5 - 2*Log_[2x+13]_(x^2-14x+49)
where _[xxx]_ represents base of the fn. is
a. 1
b. 2
c. 3
d. 0

The real values of x for which the inequality log_[2x-1]_(3x^2 - 2x - 1) _[xxx]_ represents the base of fn.
1. 1/22. 1 3. 1/2 4. none of these