question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Options:
(A) 22
(B) 7
(C) 8
(D) 6
(E) 51
answer: Stream of consciousness: Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7. The answer is (B).

q: Which of the following is equal to (x+2)!/x!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) (x+1) (x+2)
a: Stream of consciousness: (x + 1)! = (x + 1) (x+2)* x!
(x + 1)!/x! = (x + 1)(x+2) The answer is (E).

question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?
Options:
(A) $1
(B) $2
(C) $3
(D) $4
(E) $5
answer: Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 250$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$. The answer is (B).

q: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 120 gallons
(D) 180 gallons
(E) 130 gallons
a: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallonsVolume of whole = 3 * 40 = 120 gallons. The answer is (C).

question: Find the value of m from (12)^3 x 6^4 432 = m?
Options:
(A) 2346
(B) 3546
(C) 4566
(D) 3455
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: Express a speed of 720 kmph in meters per second?
Options:
(A) 120 mps
(B) 200 mps
(C) 181 mps
(D) 190 mps
(E) 125 mps
answer:
Stream of consciousness: 720 * 5/18 = 200 mps The answer is (B).