q: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Options:
(A) 22
(B) 88
(C) 15
(D) 66
(E) 81
a: Stream of consciousness: B's 1 day work = (1/12 - 1/20) = 1/30
Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15
So, A and B together will complete the work in 15 days. The answer is (C).


question: A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 2/3
(B) 2 2/8
(C) 2 2/0
(D) 2 2/2
(E) 2 2/11
answer: Stream of consciousness: Work done by all three of them in one day = 1/4 + 1/8 + 1/12 = 11/24
The number of days required = 24/11 = 2 2/11 days. The answer is (E).


q: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 83. How many points altogether did the team score?
Options:
(A) 662
(B) 672
(C) 654
(D) 642
(E) 721
a: Stream of consciousness: 8 * 83 = 664 – 10 = 654 The answer is (C).


question: Which of the following numbers is divisible by 12?
Options:
(A) 1332
(B) 1021
(C) 3221
(D) 4211
(E) 3233
answer: Stream of consciousness: 1332. This is the only option with last two digits divisible by 12 The answer is (A).


q: A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?
Options:
(A) 105
(B) 67
(C) 80
(D) 60
(E) 100
a: Stream of consciousness: Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7 = 67 The answer is (B).


q: 30 pens and 75 pencils were purchased for 630. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 16
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: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (630 – 150) = 480
∴ Average price of a pen = 480⁄60 = 16 The answer is (E).