q: If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 3m
(C) 6m
(D) m/5
(E) 6m/5
a: Stream of consciousness: 8m - n = p
Add n to both sides:
8m = n + p
Add m to both sides:
9m = n + p + m
Now, divide both sides by 3
3m = (n + p + m)/3 = the average of n, p, and m The answer is (B).


question: John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 76.69%
(D) 76.98%
(E) 75%
answer: Stream of consciousness: Increase = (30/40)*100 = (3/4)*100 = 75%. The answer is (E).


q: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 14
(E) 16
a: Stream of consciousness: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The answer is (D).


question: Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train
Options:
(A) Train A reaches 30 minutes before Train B
(B) Train B reaches 30 minutes before Train A
(C) Train A reaches 60 minutes before Train B
(D) Train B reaches 60 minutes before Train A
(E) None of the above
answer: Stream of consciousness: Time taken for train A = 30 minutes + d1/s1 = 30 minutes + 100 / 100 = 1 hours 30 minutes
Since Train B travels 50 miles / hour ; train A travels twice the speed of B which gives s1 = 100 miles/ hour
Time taken for train B = d2/s2 = 100 / 50 = 2 Hours
So Train A reaches 30 minutes before Train B The answer is (A).


q: If P(A) = 8/15, P(B) = 4/15, and P(A âˆª B) = 16/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 2
(E) 4/7
a: Stream of consciousness: P(B|A) = P(A âˆª B)/P(A)
P(B|A) = (16/15)/(8/15) = 2. The answer is (D).


q: What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Options:
(A) 0%
(B) 20% increase
(C) 36% decrease
(D) 1% decrease
(E) Insufficient data
a:

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: (16/10)*(4/10) = 64/100 of original area
64/100 is a 36% decrease from 100/100 -> The answer is (C).