Official Quant thread for CAT 2013

There are 10 women and 3 men in room A. One person is picked at random from room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked?


guys help me to solve this again...

(A) 13/21

(B) 49/117

(C) 15/52

(D) 5/18

(E) 40/117

@cPreethiReddy

on a certain road 10% of motorists exceed the posted speed limit and receive speeding tickets, but 20% of motorists who exceedd the posted speed limit do not receive speeding tickets .

what percent of the motorists on the road exceed the posted speed limit



options: a)21/2



b)25/2



answer is 25/2

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


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

@Anubhavtcet : bhai here is the venn diagram.hope it helps. @cPreethiReddy : here it is.

11. What is the highest possible value of 'n' for which 3^1024 – 1 is divisible by 2^n? (a) 13 (b) 10 (c) 11 (d) 12

How many divisiors of 25200 can be expressed in the form of 4n+3 where n is a whole number?


6
8
9
NOT

In a shower 10cm of rainfall the volume of water that falls on 1.5 hectares of ground is

a.1500 m.cube
b.1400 m.cube
c.1200 m.cube
d.1000 m.cube

In three distinct regular polygons, it is known that the measure of the internal angle of one regular polygon exceeds the measure of the internal angle of the other two regular polygons by 15° and 27° respectively. Furthermore, the sum of the measures of the external angles of all the three regular polygons is 177°. What is the sum of the number of sides of all these three regular polygons ?


a) 17

b) 18

c) 19

d) 20


@placiddisciple @jp_1991 @Dazed-Confused @jasneetdua @anytomdickandhary

ANY STRATEGY FOR knowing 5^6 >or

B as a percentage of A is equal to A as a percentage of (A + B). Find B as a percentage of A.

There are an infinite number of pipes attached to a very big tank. Performance of a pipe is the amount of water filled in the tank in equal time. The pipes are numbered P1 , P2, P3.......... and so on. The performance of every subsequent pipe is 90% that of the earlier pipe, i.e. the performance of P2 is 90% the performance of P1, and so on. When all the pipes are working together, the tank gets filled in 4 hours. Working alone, how many pipes can fill the tank within 50 hours?

A)0

B)1

C)2

D)3

From Panchkula center, a number of students appear for one of the papers of the Online Cat test series. The paper consists of 100 questions. For each correct answer the candidate is awarded 1 mark and for each wrong answer 1/5th of the marks are deducted. No marks are deducted for not attempting a question. Exactly 20% of the students scored exactly 50 marks but no two attempted the same number of questions. Find the total number of students who appeared for the test?

A)65

B)45

C)55

D)Cannot be determined

The 1st term of a series is 1 and from second term onwards the each term is eight more than four times the previous term. What is the 99th term?(try to bring a exp in powers of 2)


A total of 625 people visit a camp. There are several tents having different capacity. It is observed that people can sleep in the group of not less than 4 and not more than 7 in a tent according to the space available in the tent. Also, the number of tents having a capacity of exactly 4 people is less than the number of tents having capacity of exactly 5 people and so on. It is also given that the number of tents in which 5 people sleep is 21. There is at least one tent of each type. What is the maximum number of people living in the tents with the capacity for exactly 6 people?

A)33

B)38

C)46

D)37

A flask had some milk in it. One third of the milk was taken out and replaced with water. Then one-third of the resultant mixture was again taken out and replaced with water. This procedure was repeated 6 times. The volume of mixture in the flask after 2nd time was 81 liters. Find the milk left in the flask after 6th time?

A)7.11 liters

B)8.5 liters

C)11.11 liters

D)Cannot be determined

What is the total numbers of ways of selecting twenty balls from an infinite number of blue, green and yellow balls


3^20
20^3
231
1771

How many 4 digits mulitples can be formed of 3 by using 2 and 3 only ?

Let G be a positive integer not equal to 1. None of the numbers 2, 3, 4,……., G is a divisor of (G! + 1)

Which of the following statements must be true?

A)(G! + 1) is prime number.

B)At least one of the numbers G+2, G+3 ….. , (G! – 2) is a divisor of (G! + 1).

C)The smallest number between G and G! , which is a divisor of (G! + 1), is a prime number.

D)None of these

if A=(3,23,43,..........603) and S is a subset of A . If the sum of no two elements of S is more than 606 then what can be the maximum possible number of elements in S?

The mother is aged three times more than her son robo. After 8 years, the mother is two and half times the age of her son. After further 8 years, how many times the age of robo, is age of mother ?

  • 2 times
  • 4 times
  • data insufficient
  • 3 times

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