q: A certain car uses 12 gallons of gasoline in traveling 180 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 10
a: Stream of consciousness: 180/10 = 18. The difference is 18 - 15 = 3. The answer is (B).

question: 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 $3 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) $90m
(D) $127.5m
(E) $153m
answer: Stream of consciousness: 2/10*1/6*(total) = 3
1/30*(total) = 3
(total) = 3*30 = 90 The answer is (C).

q: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 6x
(D) 12x
(E) 27x
a: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x The answer is (C).

question: An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the bullseye from 80 yards is 1/2. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Options:
(A) 19/20
(B) 29/30
(C) 49/50
(D) 9/10
(E) 14/15
answer: Stream of consciousness: The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses every shot = (prob that she misses from 60 yards)*(prob that she misses from 70 yards)*(prob that she misses from 80 yards)
Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5; Prob that she misses from 80 yards = 1 - 1/2 = 1/2
Thus the probability that she misses all shots = (1/3)*(2/5)*(1/2) = 2/30 = 1/15
Thus the probability that she makes at least one shot = 1 - (1/15) = 14/15 The answer is (E).

q: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?
Options:
(A) 450
(B) 600
(C) 500
(D) 2400
(E) 3200
a: Stream of consciousness: Answer A) 4800 yards need 1200 lbs
1 Yard will need 1200/8400 = 1/7 lbs
3600 Yards will need 1/7* 3500 Yards = 500lbs The answer is (C).

q: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 22
(B) 56
(C) 88
(D) 66
(E) 21
a:
Stream of consciousness: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 550 = 56' The answer is (B).