question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b)
(C) a(a + 3b) + 2b(a + 3b)
(D) (3a + b) (a + 2b)
(E) a(a + 2b) + 3b(a + 2b)
answer: Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2. The answer is (D).

q: There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 40
(D) 60
(E) 120
a: Stream of consciousness: Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40 The answer is (C).

question: Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 17
answer: Stream of consciousness: The worst scenario is when she takes 12 red and 4 green, total of 16 jellybeans, and still doesn't have 3 distinct colors. But the next draw (17th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (E).

q: A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 288
(E) 271
a: Stream of consciousness: D = 80 * 5/18 = 22 = 488 200 = 288 The answer is (D).

question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (B).

question: Which is longest: a foot, a yard or an inch?
Options:
(A) a yard
(B) inch
(C) foot
(D) feet
(E) cm
answer:
Stream of consciousness: 3 feet = 1 yard
12 inches = 1 foot The answer is (A).