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.

- If x = -0.5, which of the following has the smallest value?

2^{1/x}, 1/x, 1/x^{2}, 2^{x}, 1/√-x - Which among the following is the largest?

2^{1/2}, 3^{1/3}, 4^{1/4}, 6^{1/6}, 12^{1/12} - How many 2 digit numbers increase by 18 when the digits are reversed?

Hints:

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

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