question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 20%
(E) 40%
answer: Stream of consciousness: Increase = (20/50)*100 = (2/5)*100 = 40%. The answer is (E).


q: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
a: Stream of consciousness: 343^10 = (7^3)^10 = 7^30 The answer is (E).


question: What is the are of an equilateral triangle of side 10 cm?
Options:
(A) 66âˆš3 cm2
(B) 25âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
answer: Stream of consciousness: Area of an equilateral triangle = âˆš3/4 S2
If S = 10, Area of triangle = âˆš3/4 * 10 * 10 = 25âˆš3 cm2; 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 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: The length of a rectangle is increased by 35% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10800
(B) 1299
(C) 1000
(D) 10000
(E) 2887
answer: Stream of consciousness: 100 * 100 = 10000
135 * 80 = 10800 The answer is (A).


question: in how many ways can six members be selected from a group of ten members?
Options:
(A) 10C6
(B) 10C4
(C) 10C9
(D) 10C2
(E) 10C1
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Six members can be selected from ten members in
10C6 = 10C4 ways. The answer is (B).