Official Quant thread for CAT 2013

7^12 is a 11-digit number which contains one 0's, three 1's, two 2's, one 3's, one 4's, one 7's and two more digits which are same. What are the missing same digits ?mg


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There are two beakers I and II filled with 100 ml of alcohol and 100 ml of water respectively. First, 10 ml of water is poured from beaker II to beaker I. Then, 11 ml mixture from beaker I is poured back into beaker II. Then from this new mixture in beaker II, 1 ml is poured back into beaker I. Which of the following statements is true?


There is more water in beaker I than alcohol in beaker II.

There is more alcohol in beaker I than water in beaker II.

Neither [1] nor [2]

Both [1] and [2]

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Status: Correct

Explanation: Click here :mg:

find the sum of all 8 digit number that can be formed with the digit 1,1,1, 5,5,7,8,9..

find the area of PQRS

there are 3 couples sitting around a circle , find the no of ways that at least 2 couples sit together?

sum of the 12 consecutive integers can be .....


how to solve such a questn .

What would be the sum of cubes of roots of 3x^3 + 5x - 51=0a. 50 b. 51 c. -51 d. -50 e. None of These

A man got a lottery of 60 lacs in Jan 2012 and paid 20% IT.He decided to donate from 1 paisa on first day 2 p on second day,4 on third day till the end of feb2012. How much more he required to meet this?

Bhai Mere and Sunil started with a speed of 40 km/hr and 18 km/hr respectively on their bikes for Patna at 8 a.m. from the same place. Sunil completed the entire journey with the same speed with which he had started. At 9:30 a.m., Bhai Mere was stuck in traffic and had to reduce his speed. So in the next 30 minutes, he could cover only 15 km and covered the remaining distance with a speed equal in magnitude to the total time taken by Sunil in hours to cover the entire journey and reached Patna at the same time as Sunil and in broad daylight. At what time did both of them reach Patna?

5 p.m.

1 p.m.

9 p.m.

Data insufficient

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Status: Correct

Explanation: Click here :mg:

A group of men was employed to shift 545 crates. Everyday after the first, 6 more men than that on the previous day were put on the job. Also, everyday after the first, each employed man, shifted 5 fewer crates than the number of crates moved by each man on the previous day. All workers shift an equal number of crates on any given day. It took five days to finish the work.

How many crates were shifted on the third day?

137

13

26

169
:drinking:

Last Qn today From Bhai Mere Series :mg:
Everyday, Bhai Mere's driver takes the car from Bhai Mere's home at certain time, reaches his office exactly at 5 p.m., picks him up and drives him home, travelling at a constant speed throughout. One day, Bhai Mere left his office at 3 p.m. and started walking on the usual route towards his home. His driver picked him on the way and drove him home. Bhai Mere noted that he reached home 40 minutes earlier than his usual time.

How long did Bhai Mere walk?

20 minutes

40 minutes

100 minutes

80 minutes

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Status: Correct

Revision :cheers:

there are 3 couples sitting in line , find the no of ways that at least 2 couples sit together?

n is a 5-digit having all 5 digits distinct, then n^20 - n^18 must be divisible by which of the following:-a) 5
b) 7
c) 8
d) 9
e) None

"BHAI MERE" is back :mg:
if 1+2+3+4+5+6+7+8+9+10=100
thn in hw many places + has to be chnged to x to make the equality hold good>>>

"sir" type questionsmgmgmgmg
all 3 digit numbers are written in ascending order from left to right in a row such tht each 3 digit number is separated from the followin number by a "comma">>
hw many such comma's are thr such tht the digit immediately following and the preceding them are same>>>>>>

probability of choosing one stick out of 3 is .4 , what will be the probability of choosing atleast one stick ...??

bhai mere has two investment plans- A and B,to choose from, Plan A offers interest of 10%compounded annually while plan B offers interest of 12% per annum.
Till how many years is plan B
a better investment?

Every Saturday, the members of"bhai mere" Club meet in the evening. All the members of the

club are honest and never lie. Last Saturday, the following conversation was heard at one of the tables with five members sitting around it.

sunny leone:
: In this club not all members are

friends with each other.

guthi:: None of the pair of

friends in this club has any common friend.

palak:: Every pair of members who are not friends

has exactly two common friends in this club.

sidhu:: There are fewer than 22 people in this club.

How many members are there in the club?

A. 5
B. 7

C. 15

D.16
E. 20

55. How many friends does Sunny leone has in this club?

A. 2
B. 3
C. 5

D. 7
E. 8


If the sides of a triangle are 4,5,6 then find the inradius ...forgot the formula can someone reply asap..with solution