q: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 36 sec
(E) 60 sec
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec The answer is (D).


question: A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,400
(D) $1,800
(E) $2,200
answer: Stream of consciousness: Upfront payment for insurance plan = 800$
Family needs to pay 30 % of first 1000 $ in expense = 300$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 300 = 1100 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1400 $
(Since insurance plan will pay 100% of amount that exceeds 1100$ ) The answer is (C).


q: A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 26%
(C) 45%
(D) 52%
(E) 56%
a: Stream of consciousness: (10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%. The answer is (B).


question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Options:
(A) 55053
(B) 50553
(C) 5553
(D) 40532
(E) 44258
answer: Stream of consciousness: 120 * 456 + 333 = 55053 The answer is (A).


q: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Options:
(A) 5 years
(B) 6 years
(C) 7 years
(D) 9 years
(E) 15 years
a: Stream of consciousness: (4000*T*5)/100 = (5000*5*4)/100
T = 5 years The answer is (A).


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:

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: 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).