q: Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Options:
(A) 30 km/h
(B) 45 km/h
(C) 60 km/h
(D) 75 km/h
(E) 90 km/h
a: Stream of consciousness: Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km
Rate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h
Rate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h The answer is (B).

question: How many numbers between 101 and 250, exclusive are divisible by three?
Options:
(A) 34
(B) 41
(C) 50
(D) 83
(E) 148
answer: Stream of consciousness: Numbers upto 250 divisible by 3 is 250/3 = 83
Numbers upto 101 divisible by 3 is 101/3 = 33
Total number of numbers between 101 and 250 that are divisible by 3 is 83 - 33 = 50 The answer is (C).

q: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 3 days
(E) 9 days
a: Stream of consciousness: Work done by A in 2 days = 2/5
Remaining work = 3/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 3/5 * 10/3 = 2 days. The answer is (B).

question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a red shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 17
(B) 37
(C) 49
(D) 61
(E) 72
answer: Stream of consciousness: The correct answer should not take the form: 4x + 1. Hence, it is The answer is (E).

q: If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Options:
(A) 28
(B) 24
(C) 20
(D) 15
(E) 10
a: Stream of consciousness: 30^n = 2^n * 3^n * 5^n
100! has 97 2's, 48 3's and 24 5's
Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100! The answer is (B).

q: Find the product of the localvalue and absolutevalue of 1 in 20168?
Options:
(A) 100
(B) 110
(C) 151
(D) 120
(E) 140
a:
Stream of consciousness: Local value of 1 = 1 x 100 = 100
Place value of 1 = 1
There fore = 1 x 100 = 100 The answer is (A).