question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 36 1/3%
(B) 33 1/3%
(C) 33 1/6%
(D) 63 1/3%
(E) 23 1/3%
answer: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).

q: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 3/5
(D) 2/7
(E) 3/8
a: Stream of consciousness: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
Required probability = 2/3 x 3/4 = 1/2 The answer is (A).

question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 30
(B) 38
(C) 41
(D) 29
(E) 31
answer: Stream of consciousness: Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (A).

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 3 order of $150 ?
Options:
(A) $1
(B) $2
(C) $3
(D) $4
(E) $8
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$. Thus, for two such orders = 18$
The difference = 8$. The answer is (E).

question: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
answer: Stream of consciousness: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2 The answer is (B).

question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
answer:
Stream of consciousness: 5C1 * 4C1 * 3C1 = 5*4*3 = 60. The answer is (C).