Syntel Company Logical Reasoning Decision Making and Problem Solving

Three pipes A,B and C can fill a cistern in 7 hours.After working at it together for 2 hours C is closed. Now A and B require 10 hours more to fill it. How long will C take to fill the cistern alone?
[A] 12 h
[C] 14 h
[B] 13 h
[D] 15 h

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Syntel Other Question

A cistern, when full, is emptied by a waste pipe in 30min., but if a tap (filling souce) is opened, it takes 40 min. to empty the cistern. How long the cistern will take to become full when both the pipes are working?
[A] 180 min
[C] 140 min
[B] 110 min
[D] 160 min
A cistern has three pipes A,B and C the pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 a.m. Respectively, when will the cistern be empty?
[A] 5 a.m
[C] 5 p.m
[B] 6 p.m
[D] 6 a.m