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