Problem Solving: GMAT Question of the Day

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Problem Solving: GMAT Question of the Day

QOD2014_0904
Explanation
We need to have either a common base or a common exponent to solve this problem. Since we can’t make the base common as each base is a prime number, the only way is to make the exponent common for all the expressions.

The minimum exponent value is 50, so we make the exponents of each base equal to 50. Therefore,

5250 = (55)50 = 312550
7200 = (74)50 = 240150
3300 = (36)50 = 72950
1150
2600 = (212)50 = 409650

The greatest base among all the option is 4096.

Correct choice is E.