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GMAT Problem Solving (PS) | Re: If G represents the number of multiples of 3 between 3^30 and 3^50, in

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Bunuel wrote:

If G represents the number of multiples of 3 between 3^30 and 3^50, inclusive, then G must be:

I. Odd
II. Divisible by 3
III. Divisible by 9

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III


Let’s analyze each Roman numeral.

I. Odd

We can use the following formula:

(largest multiple of 3 in the set - smallest multiple of 3 in the set)/3 + 1 = number of multiples of 3

(3^50 - 3^30)/3 + 1

3^50/3 - 3^30/3 + 1

3^49 - 3^29 + 1

3^29(3^20 - 1) + 1

Since 3^29
...

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