## Challenge Problem 1 2016

If $${5}^{k^2}\times{25}^{2k}\times{625} = 25\times {\sqrt[4]{5}}$$, which of the following is a possible value of $$k$$?

(A) $$-1$$

(B) $$-\Large\frac{1}{2}$$

(C) $$0$$

(D) $$\Large\frac{1}{2}$$

(E) $$1$$

## Exponents and Roots Quiz

This is a set of GMAT PS and DS problems concerning exponents and roots. If you struggle with these problems then you might want to take a content quiz on the fundamentals of exponents and roots. You have 30 mins to complete the 15 questions

## Testing Numbers in Quantitative Comparison

$$x$$, $$p$$, and $$q$$ are integers, and $$p$$ is greater than $$q$$

Quantity A                              Quantity B

$$x^{2p}$$                                             $$x^{2q}$$

(A) Quantity A is greater.

(B) Quantity B is greater.

(C) The two quantities are equal.

(D) The relationship cannot be determined from the information given.