Get detailed explanations to advanced GMAT questions.

The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have equal measures. In the above figure V is one vertex of the polygon. If Y in degrees is the measure of an angle of the polygon and y=5x how many sides does the polygon have?

Option A:

5

Option B:

6

Option C:

10

Option D:

12

Option E:

30

Option D is the correct answer.

From the figure,

x + y = 180

6*x = 180

x = 30, y = 150

Let number of sides be “n”, hence number of interior angles is also “n”

Sum of all interior angles = 150*n

Formula for sum of interior angles

= 180*(n-2) 180*(n-2) = 150*n

30*n = 360

n = 360/30 = 12

- A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43560 square feet = 1 acre)

- How many positive three-digit integers are divisible by both 3 and 4?

- If |x| > 3, which of the following must be true?

- If x is a nonzero number, which of the three numbers x, 1/x and x^2 is greatest?

- If x ≠ – 1, then is equal to

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