Official Quant thread for CAT 2013

6 boys and 3 girls are randomly placed in a row. Determine the probability of no two girls being placed adjacently.

Note :plz explain ur approach.. dont know the actual ans.

There are 12 coupons marked 1,2,3,4,5..12. A person picks 7 coupons with replacement. What is the probability that 7 will be the highest number that he will pick?

Approach please as well

Q5






remainder when 10! + 111 is divided by 143

if the product of all d factors of a no. is equal to the square of the no. and sum of all the factors of the no. other than the no. itself is 21....then find the number of possible values of the number??


Find the 50th digit after decimal in the expansion of 1/73??


approach plz..

In how many ways we can select 5 letters from the word INSTITUTE?

What is the coefficient of x^(-1) in the expansion of
(1+ x)^10 * (1+1/x)^10

Options:

1) 20C9

2) 10C9

3) (2^10) - 2

4) 20C9 + 20C10

5)None of these

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ABC is a right angled triangle. The line segments AP and CQ are equal to line segment AQ and CR respectively. The possible value of angle PQR is :

Hi. Can anyone please help me on GEOMETRY and P&C;? What and where should I read(understand) the concepts, do different problems, get simpler approaches, and better learning.
Do suggest me the material or share me the links. I really want to break a sweat.
Thank you!

Ankit, Saransh, Chhatrapati and Mohan are to compile this year's Quant Question A Day. They can finish this work together in a certain number of integer days. However, they work two in a day and it is found that the compilation is completed when (Ankit, Saransh), (Saransh, Chhatrapati) and ( Chhatrapati, Mohan) worked for respectively 5, 9 and 4 days or 7, 6 and 5 days. They could not have all together done the work in


(a) 8 days (b) 9 days (c) 10 days (d) 11 days (e) none of these



n is an integer such that 1


If 1

1. 1
2. 1
3. 2.07
4. 1.47

Please post your answer with approach.

Any one having old question papers of nmat in pdf format plz share the links...

😐😐😐

max value of n for which 3^1024 -1 is completely divisible by 2^n ??? please share your approch

4 men and 3 women finish a job in 6 days, 5 men and 7 women can do same job in 4 days. how long will 1 man and 1 woman take to do work
(a) 22(2/7) days
(b) 25(1/7) days
(c) 5(1/7) days
(d) 12(7/22) days

B is twice efficient as A and A can do a piece of work in 15 days. A started work and after a few days B joined him. They completed work in 11 days, from the starting. For how much days did they work together ?

3^1024 -1 mod 2^12 =?

6 liters is taken out from a vessel full of kerosene and substituted by pure petrol. this process repeated two more times, finally ratio of petrol and kerosene in mixture becomes 1701:27. find volume of original solution. @scrabbler sir

f(x)=0 is quadratic equation. then natre of roots of f(x)+f(-x)=0 is?

  • real and unequal
  • imaginary
  • any other please explain

0 voters

solve this.