MathRevolution wrote:

[GMAT math practice question]

If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers?

A. 3

B. 6

C. 7

D. 8

E. 9

To MAXIMIZE the largest integer, MINIMIZE the other four integers.

Since the integers must be positive and distinct, the smallest possible option for the other four integers is as follows:

1*2*3*4 = 24.

We can PLUG IN THE ANSWERS, which represent the value of the largest integer.

Of the five answer choices -- 3, 6, 7, 8, 9 -- the largest that can be multiplied by 24 to yield a product less than 200 is 8:

24*8 = 192.

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