question: Which of the following is equal to (x+1)!/x!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) x
answer: Stream of consciousness: (x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1 The answer is (D).

q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
(A) 820 acres
(B) 660 acres
(C) 620 acres
(D) 720 acres
(E) 920 acres
a: Stream of consciousness: 12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 * 44 * 3/2
44 * 15 = 660 The answer is (B).

question: 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
answer: 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).

q: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 9 3/9
(B) 9 3/7
(C) 9 3/8
(D) 9 3/2
(E) 9 3/1
a: Stream of consciousness: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days The answer is (C).

question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
Options:
(A) 3/5
(B) 1/2
(C) 1/5
(D) 1/8
(E) 1/32
answer: Stream of consciousness: On the first three flips, you must get heads. Whats the probability of getting heads ? Its 1/2
So for the first three flips, your probability is (1/2)^3 = 1/8
Now for the last two, you want to get tails only. Whats the prob of getting tails ? Well, its the same as prob of getting a heads, namely, 1/2
For the last two flips, your probability is (1/2)^2 = 1/4
So your overall probability for the event in question is 1/8*1/4 = 1/32 The answer is (E).

question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) 40% of 160 + 13 of 240
(B) 120% of 1200
(C) 38 12 39 8
(D) 1648 938 566
(E) 6 12 of 140 2.5 306.4
answer:
Stream of consciousness: Others are equal to 144 whereas (b) equals 1440. The answer is (B).