Aptitude Pipes and Cisterns Test Paper 26) A cistern can be filled by an inlet in 6 hours and can be emptied by an outlet in 8 hours. If the inlet and outlet are opened together, in what time the cistern can be filled?
Correct Option (A) Answer with explanation: Part of the tank filled by the inlet in one hour = part of the tank is filled in one hour ∴ The whole tank will be filled in 24 hours. Solution 2: X = 6 hours Y = 8 hours 7) 20 buckets can fill a tank when the capacity of each bucket is 12 liters. If the capacity of each bucket is 10 liters, find the number of buckets required to fill the tank.
Correct answer; option (C) Answer with explanation: Capacity of each bucket = 12 liters 20 buckets can fill the tank. So, capacity of tank = 20 * 12= 240 liters New capacity of bucket = 10 liters So, 10 liters can be poured into the tank by one bucket 8) Two pipes working together can fill a fish tank in 12 minutes. If one pipe fills the fish tank 10 minutes faster than the second pipe, in what time the second pipe alone can fill the fish tank?
Correct answer; option (C) Answer with explanation: Let the first pipe fill the reservoir in X minutes So, the second pipe will fill the reservoir in (X+10) minutes As per question; 12X +120 + 12X = X^{2} + 10X X^{2} +10X 24X 120 = 0 X^{2} 14X 120 =0 X^{2}  20X+6X 120=0 X(X20) +6(X20) =0 (X+6) (X20) = 0 X = 20 ∴Second pipe will fill the reservoir in 20 + 10= 30 minutes 9) 25 outlets working 6 hours a day, can empty a reservoir in 10 days. If only 15 outlets are operational and work for 4 hours a day, in how many days the reservoir can be emptied?
Correct answer; option (D) Answer with explanation: Apply formula used in work and time problems; M1D1T1W2 = M2D2T2W1 M1= 25 outlets, D1=10 days, T1= 6 hours/day, W2 = to fill the reservoir M2= 15 outlets, D2=? T2 = 4 hours/day, W1= to fill the reservoir W1=W2 So we have; M1D1T1= M2D2T2 25*10*6=15*D2*4 1500 = 60 * D2 10) Pipe A can fill a tank in 12 minutes whereas pipe A along with pipe B can fill the same tank in 8 minutes. In what time pipe B alone can fill the tank?
Correct answer; option (A) Answer with explanation: Part of the tank filled by pipe A in one minute= Part of the tank filled by A+B in one minute = Part of the tank filled by B alone = ∴ Pipe B will fill the whole tank in 24 minutes. Solution 2: X= 12 minutes Y=? As per question; 12Y= 8Y+96 4Y= 96 Y = 24 minutes Aptitude Pipes and Cisterns Test Paper 1 Aptitude Pipes and Cisterns Test Paper 3 Pipes and Cisterns Concepts
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