Today’s problem solving question focuses on exponents.  Click here for the answer and explanation.

 
Explanation:

The five options given are products of the two numbers. For a number to be the largest, we must look for the number whose both parts are the largest among all the options.

The answer cannot be option A or B as neither have any part largest among the options. While option E has the largest indexed number, option C has the largest first part. However, the answer cannot be option A or B as neither have any part largest among the options.

Let us analyze options C/D/E. The optimal approach is to make the indices of the second numbers equal for all the three options.

C. 2500(418)

D. 250(419) = 250*4*(418) = 1000(418)

E. 100(420) = 100*4*(419) = 1600(418)

While the second part of all the options are the same, the first part of option C is the largest, so 2500(418) is the largest.

Correct answer is C.