question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 2/25
(C) 3/10
(D) 1/5
(E) 1/10
answer: Stream of consciousness: 10 + 10 + 72 = 92% 100 - 92 = 8% to all others The answer is (B).

q: 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 $150 ?
Options:
(A) $1
(B) $2
(C) $3
(D) $4
(E) $5
a: Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$. The answer is (B).

question: A 600 meter long train crosses a signal post in 30 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 3 min
(E) 5 min
answer: Stream of consciousness: S = 600/30 = 20 mps
S = 3600/20 = 180 sec = 4 min The answer is (D).

q: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 211
a: Stream of consciousness: S = 180/6 * 18/5 = 108 kmph The answer is (B).

question: If n is the smallest integer such that 432 times n is the square of an integer, what is the value of n?
Options:
(A) 2
(B) 3
(C) 6
(D) 12
(E) 24
answer: Stream of consciousness: The prime factorization of a square has to have even powers of all its prime factors. If the original number has a factor, say of 7, then when it's squared, the square will have a factor of 7^2. Another way to say that is: any positive integer all of whose prime factors have even powers must be a perfect square of some other integer. Look at the prime factorization of 432
432 = (2^4)*(3^3)
The factor of 2 already has an even power - that's all set. The factor of 3 currently has an odd power. If n = 3, then 432*n would have an even power of 2 and an even power of 3; therefore, it would be a perfect square. Thus, n = 3 is a choice that makes 432*n a perfect square. The answer is (B).

question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 3/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
answer:
Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 30/100 = 3/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (3/10) = 3/200 The answer is (A).