q: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Options:
(A) y + 3z
(B) (y +z) / 4
(C) 2y + 3z
(D) z/2
(E) 3y + 4.5z
a: Stream of consciousness: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z. The answer is (D).

question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 18
(B) 72
(C) 78
(D) 88
(E) 312
answer: Stream of consciousness: Average score for first 4 rounds = 28
Average score after 5 rounds = 26
Score Scott needs on his 5th round to drop average score by 2 points = 28 - (2*5) = 18 The answer is (A).

q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o'clock the faster train is 25 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 65 miles
(E) 400 miles
a: Stream of consciousness: Answer = D. 65 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 25 miles, so effective difference = 90 - 25 = 65 miles The answer is (D).

question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.
Options:
(A) 22
(B) 25
(C) 8
(D) 27
(E) 19
answer: Stream of consciousness: Sum of the ages of the students = 3915 = 585
New average = 15 years 3 months = 15 + 1414 year
Sum of the ages of students and teacher = 4015141514 = 40614614 = 610
Teacher age = 610 585 = 25 years. The answer is (B).

q: A can do a piece of work in 14 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 55
(E) 14
a: Stream of consciousness: 8/14 + 6/x = 1
X = 14 days The answer is (E).

q: Find the odd man out
253, 136, 352, 328, 631, 244
Options:
(A) 328
(B) 136
(C) 352
(D) 631
(E) 531
a:
Stream of consciousness: The sum all three digits comes to 10 except 328 The answer is (A).