Official Quant thread for CAT 2013

If f(x) = f(x-1) + f(x+1) where f(10) = 6. and f(20) = 2f(21). What is f(16) ?

E=99^3-63^3-36^3,how many factors does E have

  • 84
  • 96
  • 128
  • 192

0 voters

i have a doubt in time and distances :

If at 9 am, P and Q are running in the opposite direction in the speed ratio of 3:2? what time and where will they meet?

In 1 book the method is : Take Distance=100, Now they will meet at 3/5*100=60 km and at 10.00 am(the same logic)

In the other book the method is : Take distance=100, they will meet at 100/3+2(the relative speed from the ratio)=20 km

what is the correct method?

Consider the increasing sequence - 1, 3, 4, 9, 10, 12, 13… and so on. The sequence consists of all those positive integers which are powers of 3 or sum of distinct powers of 3. Find the 100th term of the sequence.

OPTIONS

1)978

2)981

3)932

4)987

5)None of these

A man borrowed Rs. 1,000 at 5% per annum at simple interest. Each year he pays Rs. 200 for interest and part of debt. The amount that is left to be paid back in the end of 3 years is:

There is a simple weighing machine with two pans which are balanced equally even though they are not of the same weight. When a 10 kg weight is put in the first pan and a 5 kg weight in the second they still are balanced evenly. What is the ratio of the weight of the first pan to second pan ?

2^x=4^y=8^z and xyz=288 what is the value of 1/2x+1/4y+1/8z

how many sets of two numbers will have LCM as (p1^a)*(p2^b) where p1 and p2 are prime numbers and a and b are natural numbers.

In an isosceles triangle, the unequal side is 10 cms. How many such obtuse angle triangles are possible such that the length of the other two sides are also integral values?

There are Alphouso virus of types (A, B, & C) in a flask. Two virus, of any two different types, can merge into one virus of the third type. After several such merges only one virus remains in the flask. What is its type, if initially there were 40 virus of type A, 41 of type B and 42 virus of type C?


please koi ache se samjhado..

If N = 100! + 200!, how many zeroes will be there at the end of N?

a.73
b.49
c.20
d.24

|x – 2| + |x – 5| – |7 – 2x| = 96

How many integer values of x satisfy the given equation?

(a) One (b) Two (c) Three (d) None of these

pls help with this question guys and share the approach

pls help with this question guys and share the approach

pls help with this question and share the approach

pls help with this question and share the approach

For how many ordered pairs of natural numbers is the LCM of a and b is (2^3)(5^7)(11^13)

@trial.verison @SaiKriss @rgvcat_2013

A positive integer is equal to the square of the number of factors it has. How many such integers are there?

(a) 1 (b) 2 (c) 3 (d) Infinite

what is the smallest number when divided by 7, 8, 9 leaves a remainder 2, 4, 6 respectively?

please share the approach as well