question:Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
(A) 6 hours
(B) 8 hours
(C) 3 hours
(D) 9 hours
(E) 1 hours
answer:(C)
Stream of consciousness:Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.


question:In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 120
(B) 130
(C) 140
(D) 145
(E) 150
answer:(A)
Stream of consciousness:Option 'A'
The total number of arrangements is
5P5 = 5! = 120


question:Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?
Options:
(A) 30 days
(B) 35 days
(C) 25 days
(D) 27 days
(E) 29 days
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
(A)
Stream of consciousness:1/50 + 1/75 = 5/150
30/1 = 30 days