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) 65 days
(B) 85 days
(C) 15 days
(D) 45 days
(E) 13 days
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: In an office, 10 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 16
(B) 64
(C) 50
(D) 144
(E) 160
answer: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(10/100)*Workers = x+16 = > x = 16 The answer is (A).

q: A can do a piece of work in 9 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 54
(E) 12
a: Stream of consciousness: 8/9 + 6/x = 1
X = 54 days The answer is (D).

question: A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 54 kmph
(D) 72 kmph
(E) 88 kmph
answer: Stream of consciousness: S = 320/16 * 18/5 = 72 kmph The answer is (D).

q: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 646
(B) 649
(C) 644
(D) 643
(E) 642
a: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 16, Area of triangle = 3/4 * 16 * 16 = 643 cm2; The answer is (D).

q: The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H?
Options:
(A) 1
(B) 2
(C) 3
(D) 5
(E) 8
a:
Stream of consciousness: If the number is divisible by 6, then the sum of the digits must also be divisible by both 3 and 2. Only 1 yields such a number. The answer is (A).