Get detailed explanations to advanced GMAT questions.

If r is an integer, what is the value of 3^(2r)/ 27^(r-1)?

I. 2^r = 32

II. r^2 – 4r = 5

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Option A is the correct answer.

Given: 3^(2r)/ 27^(r-1),

3^2r/3^3(r-1) = 3^2r–3r+3 = 3^3-r

So we need to know the value of r.

Statement I is sufficient: 2 r = 32 So r = 5

Statement II is insufficient: It is a quadratic equation and It has two roots(r = 5 and r = -1) So not sufficient,

- A farmer who grows strawberries defines a “workday yield” as the number of litres of strawberries that…

- In a certain downtown office, 40 percent of the workers are men and 60 percent are women…

- The ratio of R to S is 3 to 5, what is the value of the ratio (R + K)/(S + K)?

- The integers q,r,s,t and u are positive. If t >q , u > r, s >t, and r > s, what is the median of the five integers?

- Kay began a certain game with x chips. On each of the next two plays, she lost one more than half…

- Copyright © 2020. All Rights Reserved. Crafted by Pixelmattic