Q: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 18 cm
(B) 1 cm
(C) 8 cm
(D) 19 cm
(E) 28 cm
A: OK... Stream of consciousness: Circumference C is given by
C = 2r = 2*9 = 18 cm
The answer is (A).

Q: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 887
(D) 279
(E) 771
A: OK... Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2
The answer is (B).

Q: The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?
Options:
(A) 20
(B) 22
(C) 18
(D) 19
(E) 21
A: OK... Stream of consciousness: The total of seven numbers = 7X21 = 147
The total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126
So, the middle number is (147 - 126 ) = 21
The answer is (E).

Q: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/280
(C) 3/280
(D) 4/56
(E) 77/280
A:
OK... Stream of consciousness: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 77/280.
The answer is (E).