Official Quant thread for CAT 2013

In how many ways can 3 ladies and 3 gentlemen be seated at a round table so that any two and only two of ladies sit together?

In how many ways is it possible to make a selection by taking any no of 15 fruits namely 3 oranges, 5 apples and 7 mangoes.

A person has eight letters and eight addressed envelopes corresponding to those letters. In how many ways can he put the letters in the envelopes such that exactly 5 of them get delivered correctly?


I am not sure of the OA- IMO it's 2*8C5 . please confirm


  • 8C5
  • 2*8C5

0 voters

Puys please tell how do we find the units digit of a factorial number for example 21!

Mr. Muneesh went from A to B via C with an average speed of 20 kmph between A and C and 30 kmph between C and B. If he travels at 30 kmph between A and C and 20 kmph between C and B, it takes 2 hours less time to reach B. If the distance between C and B is 120 km, what is the distance between A and B?

1. 120 km

2. 240 km

3. 300 km

4. 360 km

5. none of these

1)there r 16 executive including two brothers A and B . in how many ways can they be arranged around the circular table if the two brothers cannot be seated together.

2)How many arrangement are possible if there is exactly one executive between these brothers.

Directions: Train A departs from Bangalore at 10 am for Chennai. At the same time train B departs from Chennai to Bangalore. The average speed is 50 kmph for both the trains and there is no stop in between. An other train C departs from Bangalore at 11 am with a speed of 70 kmph for Chennai, meet train B, 30 min before train A does.How much time after C reach Chennai, will train B reach Bangalore?

1. 1 hr 43 min

2. 2 hr 43 min

3. 3 hr 43 min

4. 4 hr 43 min

5. none of these

is its enough to do lod 1 from arun sharma for the preparation of cat 2013 plzzzz comment on this

The HCF of two numbers is 13 and their sum is 2080. How many such pairs are possible?

What is the remainder when n^7 - n is divided by 42?


How many divisors of 3600 end in a ,
a. Zero ?
b. Five ?

Q3

QuantExpert - Q.O.D


What is the remainder when 39! is divided by 41?

What is the sum of all the 5 digit no which can be formed with the digit 0,1,2,3,4 with without repetition.

How many 5 digit no contain exactly two 7's in them.

Seven delegates are to address a meeting. If a particular speaker is to speak before another

particular speaker find the no of ways in which this can be arranged?

4 dice are rolled. The no of possible outcomes in which at least one dice show 4 is.

please solve question 14

Please Help me with these Numbers questions, i simply cannot grasp the logic:

A Number when divided by 36 leaves a remainder 23. Which of the following could be a remainder when it is divided by 72? (13, 59, 37, none of these)

A number when divided by 36 leaves a remainder9. What could be the remainder when it is divided by 45? (15, 18, 21, 24)

Thanks alot!

Please Help me with these Numbers questions, i simply cannot grasp the logic:

A Number when divided by 36 leaves a remainder 23. Which of the following could be a remainder when it is divided by 72? (13, 59, 37, none of these)

A number when divided by 36 leaves a remainder9. What could be the remainder when it is divided by 45? (15, 18, 21, 24)

Thanks alot!