question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 19%
(E) 10%
answer: Stream of consciousness: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 54 - {both} + 40
{both} = 19%. The answer is (D).
--
question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 29
(B) 39
(C) 54
(D) 64
(E) 75
answer: Stream of consciousness: The correct answer should not take the form: 5x + 4. Hence, it is The answer is (E).
--
question: If P(A) = 6/17, P(B) = 5/17, and P(A B) = 4/17 Find P(B|A)?
Options:
(A) 2/3
(B) 3/5
(C) 2/7
(D) 3/7
(E) 4/9
answer: Stream of consciousness: P(B|A) = P(A B)/P(A)
P(B|A) = (4/17)/(6/17) = 4/6 = 2/3. The answer is (A).
--
question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22
(B) 71
(C) 54
(D) 77
(E) 99
answer:
Stream of consciousness: S = 240/16 * 18/5 = 54 kmph The answer is (C).
--