Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4 million from its orange exports, how much money does it generate from its yearly total of exports?
Options:
(A) $21.25m
(B) $25.5m
(C) $106.25m
(D) $120m
(E) $153m

2/10*1/6*(total) = 4
1/30*(total) = 4
(total) = 4*30 = 120 So the answer is: (D).

1500 is increased by 20%. Find the final number.
Options:
(A) 1500
(B) 1800.
(C) 1900
(D) 1700
(E) 1660

Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300 = 1800. So the answer is: (B).

If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 3m
(C) 6m
(D) m/5
(E) 6m/5

8m - n = p
Add n to both sides:
8m = n + p
Add m to both sides:
9m = n + p + m
Now, divide both sides by 3
3m = (n + p + m)/3 = the average of n, p, and m So the answer is: (B).

If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
(A) 60 %
(B) 55 %
(C) 70%
(D) 75%
(E) 80%

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 65 - {Both correctly} + 5
{Both correctly} = 55. So the answer is: (B).