CAT 2014 : Number Systems - Questions that have appeared in Previous CAT Papers.

In Today's post, we try to look at 3 problems that have appeared in past CAT papers, and provide clues to solve them.

The complete solution will be available in our next post.

1. If x = -0.5, which of the following has the smallest value?
   2^1/x , 1/x, 1/x², 2^x, 1/√-x 
2. Which among the following is the largest?
   2^1/2, 3^1/3, 4^1/4, 6^1/6, 12^1/12
3.  How many 2 digit numbers increase by 18 when the digits are reversed?

Hints:

1. A positive number raised to any real number will always be positive. For eg, 4^-1/10 will be greater than 0.
2.  Convert all numbers to have the same exponent. Then compare the numbers.
3. Let the number have digits a,b. Original number is 10a+b, reversed is 10b+a. Take the difference and try to solve it :)

For comprehensive CAT Prep, click here.