Official Quant thread for CAT 2013

Three members of the family A,B and C , work together to get all household chores done .The time it takes them to do the work together is six hours less than A would have been working alone, one hour less than B would have alone ,and half the time C would have taken working alone .How long did it take them to do these chores working together????/(a) 20 min(b) 30 min(c) 40 mi n(d) 50 min


Pls help @sagarcat , , @Dexian . Im getting 40 min.......

if a stick is broken at 5 points.. find the probability that a hexagon can be formed by joining these 6 parts. @ankurkhanna14

Two sets A and B are given below.
A = {2^0, 2^1, 2^2, 2^3, 2^4} B = {3^0, 3^1, 3^2, 3^3, 3^4}
How many different proper fractions can be made by picking the numerator from one of the sets and the denominator from the other set?

2 non zero digit of 120!?

explain in detail

good one !

There were some people invited to a party. All but one person arrived in time and everyone shook hands with everyone else present in the party. However, John reached 30 minutes late, and so he was only able to shake hands with some of other guests. If there were exactly 99 handshakes in total, then what is the number of hands John did not shook?

(a) 6 (b) 7 (c) 8 (d) 9 (e) None of the above


The total number of ways in which a beggar can be

given at least one rupee from four 25 paise coins,

three 50 paise coins and 2 one rupee coins is:


a.54

b. 53

c. 51

d. None of these

Anybody written CAT today...??

How was the Paper..??

@Harmeet89

Ramu is standing at an intersection where two roads intersect at right angles. He observes through his binoculars that two cars start moving towards the intersection at the same time along these two roads, one of them is moving at a speed of 13.33 m/sec and starts at a point 40 km from the intersection. The second car is moving at 10 m/sec and starts at a point 50 km from the intersection. In how many minutes from the start will the distance between the two be minimum ?

a) 83 min



b) 62 min



c) 50 min



d) (1) or (3)



Don't ask me the answer. Discuss the approach and the thought process. Explain it, as you would, to a beginner.



It is 62 mins.


Find the possible pairs of co prime factors of 2^3 * 3^2 * 5^3??
11, 110, 122, 144
OA is 122
Need Explanation

no of solutions for abc=72?
explain soln plz

hey listen, ye btao cat mei questions repeat hote h kya ?? jaise day 1 day 2 day 3 k kuch questns baad vaale sets mei ho ???

some runners on a circular track, take 2,4, and 5.5 hours to complete one revolution, at what time will they meet on starting point

If it take 2,4,55/10 == answer = 22
if it take 2,4, 11/2 == answer = 44

Which one is correct and why ? Or why not ?

@rgvcat_2013 @kuljeet01

Ten books are arranged in a row on a bookshelf. A student has to select three out of these ten books in such a way that no two books selected by him must have been lying adjacently. In how many ways can he make the selection?

56,64,72😠

A salt solution containing 6% salt and rest water, is mixed with water. One third of the quantity of the solution so obtained is drained out and replaced by glucose solution having 10% glucose and rest water. If water now accounts for 94% of the total solution, what is the ratio of salt and glucose in the final solution?


A. 2:5

B. 3:5

C. 4:5

D. 2:3

A machine costs Rs 375. if it is sold at a loss 20%, what will b its cost price as a percentage of its selling price???

  • 80%
  • 125%
  • 110%
  • 120%

0 voters

a coach has to form a team of 8 students from 3 distinct groups each having 6 ,4 ,3 students .In how many ways he can form a team if he has to select atleast 2 students from each group ?

  • 235
  • 5670
  • 735

0 voters

has anybody reported single LR questions in the four slots?

for questions like these,


how to find the no of terms in the expansion(a^2+b+c)^20?

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the stream is:

  • 6 kmph
  • 10 kmph
  • 5 kmph
  • 4 kmph

0 voters

What is the probability that the product of two integers chosen at random has the same unit digit as

the two integers?

(a)10/3


(b)1/25


(c)15/4


(d)15/7