Official Quant thread for CAT 2013

p , q, r ,s are even single digit natural numbers and p+q+r+s=24.find the number of possible cases such that p+q>r+s

1.10
2.12
3.11
4.8
5. :banghead:

How to find the maximum value of :

10x / (x^2 + 1200)

Approach pls.. :-\

what if the question is:

p , q, r ,s are even single digit natural numbers , find the number of ways for p+q+r+s=24

@anandmadhav >>_/\_ _/\_ _/\_>>heartiest congratulations>>>>
iift shortlisted


sory for spamming >>>>

The annual increment of a monthly salaried person is in AP.It is known that he drew monthly salary of 10000 in in the year 1978 and 14000 in 1994.He started his service in 1964.what was his initial salary?

If the Mth term of AP is n and its Nth term is m then its [M+N]th term is________
please explain how to do this ?
ans: zeroo


chalo bhaiyo mahol banaye kya aaj :mg:

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

A.15!8!

B.7!×8!

C.15C8×6!×7!

D.2×15C7×6!×7!

E.15C8×8!

splat

Question :

In how many different ways can seven numbers be chosen from the numbers 1 to 9, inclusive, so that the numbers have a sum which is a multiple of 3?

Fewer than 10

10

11

12

More than 12

If n=10000! is divisible by p^p where p is a prime number,what is the max value of p?

if |b| > 1 and x = -|a| b, then which of the following is necessarily true?

  • a-xb <= 0
  • a-xb < 0
  • a-xb >= 0
  • a-xb > 0

0 voters

@Stunner.VJ

if |b| > 1 and x = -|a| b, then which of the following is necessarily true?



1) a-xb

2) a-xb > 0



3) a-xb >= 0



4) a-xb

The answer given is 2), but can explain me why not 3)?

If a is one of the roots of x^5-1=0 and a is not equal to 1 then what is the value of a^15+a^16+a^17+.......+a^50?

1

5a

0

NOT

Mr. Bhai Mere had 5 children named S, M, O, K & Y :mg: In how many different ways can the sequence of their birth be possible if M and O are both elder than S? (Assume that no two are twins)

x= (9 + 4*root 5 )^48 = [x] +f , where [x] is defined as integral part of x and f is a fraction ,

then x (1-f ) equals :

a. 1

b. less than 1

c. more than 1

d between 1 and 2

How many positive integral solutions does the following equation has:-

x + y + z + w = xyzw

If A ≡ (3,4) and B ≡ (5,-2)and P is a point such that PA = PB and area of ∆PAB 10 sq. units, then the coordinates of P are

a. (7, 4) or (13, 2)

b. (2, 5) or (7, 13)

c. (2, 7) or (4, 13)

d. (10, 3) or (13, 2)

e. (7, 2) or (13, 4)

If 8^A and 9^B are factors of 100! then which of the following is the highest possible value of HCF(A,B)?

8
16
24
32 :thumbsup:
Letters of the word ARRANGEMENT are first written in ascending order and then in descending order and this process is continued .The 8^12th letter of the above series would be

1. R
2. T
3. E
4. N
5.A

:thumbsup:

a,b and c are three positive real numbers.

The minimum value that the expression [(a+b)/2 * (b+c)/2 * (c+a)/2] can take when the product of the three numbers is 3/2 is?


Post your answer with your solution !