question: In b is a positive integer smaller than 200 and (14b)/60 is an integer, then b has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
answer: Stream of consciousness: 7b/30 tells us that b is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).

q: A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
a: Stream of consciousness: Let the time taken be = x
One way distance = 54x
Total distance traveled = 2 * 54x = 108x
Total time taken = x + 2x = 3x
Average speed = 108x/3x = 36 The answer is (C).

question: Find the odd man out
74, 24, 82, 61, 10, 4
Options:
(A) 61
(B) 24
(C) 10
(D) 82
(E) 74
answer: Stream of consciousness: 61 is the only odd number in the series. The answer is (A).

q: 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
a: Stream of consciousness: 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 The answer is (B).

question: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 27
(C) 26
(D) 29
(E) 21
answer: Stream of consciousness: (60/100) * 50 (40/100) * 30
30 - 12 = 18 The answer is (A).

question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 9
(D) 4
(E) 7
answer:
Stream of consciousness: T = 40/36 * 18/5 = 4 sec The answer is (D).