question: What is the area of a square with perimeter 16P ?
Options:
(A) 16p^2
(B) 4P
(C) P^2/4
(D) P/16
(E) P^2/16
answer: Stream of consciousness: Each side is 4p
A = (4p)^2 = 16(p^2) The answer is (A).

q: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
A.
B.
C.
D.
E.
Options:
(A) 8
(B) 13
(C) 16
(D) 24
(E) 27
a: Stream of consciousness: Each group has 8 = 8+8+8 = 24 max
4 people are in 2 groups, subtract 4 people twice as they are counted twice
Each pair of groups has 5 in common, so in addition to the 4 people subtract 1 from each group
Ans: 8+8+8-(2(4)) - 3 = 13 The answer is (B).

question: If a 3-digit integer is selected at random from the integers 700 through 899, inclusive, what is the probability that the second digit is one greater then the first digit, and the third digit is one greater than the second digit?
Options:
(A) 2/225
(B) 2/200
(C) 8/700
(D) 1/50
(E) 1/200
answer: Stream of consciousness: Hundreds digit can be 7 or 8
If the hundreds digit is 7, then the tens digit has to be 8 and the units digit has to be 9
If the hundreds digit is 8, then the tens digit has to be 9 and the units digit has to be 10
A digit has to fall between 0 and 9, so 10 cannot be a digit
The number is 789
Total numbers between 700 and 899 = (899-700)+1 = 200
Probability = 1/200 The answer is (E).

q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Options:
(A) 186
(B) 188
(C) 810
(D) 167
(E) 861
a: Stream of consciousness: 12 men 120 acres 36 days
54 men ? 54 days
120 * 54/12 * 54/36
10 * 54 * 3/2
54 * 15 = 810 The answer is (C).

question: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Options:
(A) 1 hours
(B) 2 hours
(C) 3 hours
(D) 4 hours
(E) 5 hours
answer: Stream of consciousness: In 30 minutes the man would have droven 20 miles, when his wife starts. Now both are driving in the same direction. So speed of wife related to man is 10(50-40) miles/hr. So wife will cover 20 miles in 2 hours to meet the man. The answer is (B).

question: Find the number which when added to itself 13 times, gives 112.
Options:
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
answer:
Stream of consciousness: Let the number be x. Then, x + 13x = 112 14x = 112 x = 8. The answer is (B).