Official Quant thread for CAT 2013

What is the least possible value of log x to the base y + log y to the base x, if x > 1 and y > 1?

1. 1

2. 2

3. 3

4. 4

5. None of these

Sum of the following..
(1/3) + (2/15) + (3/105) + (4/945) + ...up to n terms...
-@A

a^ (log a/log b) =3
b^ (log b/log a)=81
Find a and b.
Please post solution.

Earlier the space b/w 3 and b was missing.
@CYRUS12

Reminder when (2512) (2513) (2514) (2515) + (2516)^3 + (2517)^4 is divided by 9...
-@A

Three persons A, B and C start travelling from city P at 4:00 a.m., 5:00 a.m. and 6:00 a.m. respectively. All the three reach the point Q simultaneously and continue beyond that point. C reaches the point R first and turns back immediately towards P. Thirty minutes after turning back, he crosses A.


If the distance between P and Q is equal to the distance between Q and R, then the time at which all the three reach Q is

6:30 a.m.

7:00 a.m.

8:00 a.m.

7:30 a.m.




A person takes a knife and gives the pizza 9 cuts...so he gets the max no of equal pieces...How many guest he can serve...?
-@A

p^2 = qy + rz , q^2 = rz + px , r^2 = px + qy , then
x/(p+q) + y/(q+y) + z/(z+r) =
-@A

What is the least possible value of log x to the base y + log y to the base x. (*no condition on x and y)

There are five cards lying on a table in a row. Five numbers from among 1 to 100 have to be written on them,one number per card,such that the difference between the numbers on any two adjacent cards is not divisible by 4.the remainder when each of the five number is divided by 4 is written down on another card i.e. A sixth card,in that order.How many sequences can be written down on the sixth card ?

A)(2^2)*(3^3)

B)4*(3^4)

C)(4^2)*(3^3)

D)(4^2)*(3^4)

E)none of these

detailed solution please

If n is an integer such that 3 divides n^2 + n + 1 , find the remainder obtained when n is divided by 3.

anyone having MAT previous years question papers ? pls reply.

If |x + 2| = 3, |2y + 5| = 7, what is the maximum possible value of xy?

1. 1

2. 5

3. 6

4. 30

5. – 6

In a group of ten persons, each person is asked to write the sum of the ages of all the other nine persons. If all the ten sums form the nine element set {82,83,84,85,87,89,90,91,92}, find the individual ages of the persons, assuming them to be whole numbers.

The largest value of min (2 + x^2, 6 – 3x), when x > 0, is

1. 1

2. 2

3. 3

4. 4

5. 5

The total cost of producing X radio sets per day is (x^2/4 + 35X + 25) and the selling price per set is Rs. (50 –x/2 ). Find the daily output to obtain maximum profit.

N is a natural number and P is a set of all numbers up to 2N. Q denotes the average of all elements of P and R denotes the average of all even element. Find R-Q

On the planet Elevenyn, the Inhabitants Count in Number in base 11. When the digits of a certain two–digit number of theirs are reversed, we get a value that is thrice the value of the original number. Find their sum of all such numbers.

a. 42 b. 38 c. 41 d. None of These

At present, Preeti is thrice as old as Pooja was when Preeti was twice as old as Pooja will be 2 years from now. When Pooja is thrice as old as Preeti was three years ago, the sum of their ages will be 62 years. In how many years from now, will Preeti be twice as old as Pooja?

3
4
5
6

koi hindi me samjha do pls πŸ˜› :P

Please solve....

approach plz