GMAT Question of the Day - Problem Solving - Exponents/Puzzle

Which of the following is equivalent to (k-4)/(√k - 2)?

A. √k + 2

B. k + 4

C. 4

D. 4k

E. 6k

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GMAT Question of the Day Solution

On this GMAT question of the day it is important to recognize that the denominator is one half of a difference of squares (x + y)(x - y). In this case we have the "x - y" portion. You can go ahead and multiply top and bottom by the the other half (the "x + y" part) of the special quadratic in order to get rid of the root in the denominator. Once you've done that this question breaks down to some simple arithmetic. As always - take your time with your GMAT arithmetic. Speeding through it generally leads to mistakes which will slow you down.

GMAT Question of the Day Problem Solving Exponents Solution Diagram

 

GMAT Question of the Day - Data Sufficiency - Number Properties

Is x + y positive?

(1) x - y is positive

(2) x^2 - y^2 is positive

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GMAT Question of the Day Solution

GMAT Question of the Day Number Properties Solution Diagram

 

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