GK Expert Team Solutions for Exercise 1: OBJECTIVE TYPE QUESTIONS

Three persons $A, B,$ and $C$ rent the grazing of a park for $Rs. 570$. A puts $126$ oxen in the park for $3$ months, $B$ puts in $162$ oxen for $5$ months, and $C$ puts in $216$ oxen for $4$ months. What part of the rent should $B$ pay?

A cistern is filled by two taps A and B, in $4$ hours and $6$ hours respectively, and is emptied by a waste pipe C in $3$ hours. When the cistern is half full, A  and B are closed and C is opened; after an hour, B is turned on; after half an hour more, A is turned on. In what time after C is first opened, does the cistern become full?

A leaky cistern is filled in $5$ hours, with $30$ pails of $12$ litres each, but in $3$ hours with $20$ pails of $16$ litres each, the pails being poured in at intervals. Find how much the cistern holds.

A and B worked on a job together for $4$ hrs. and finished half of it. A worked thrice as fast as B did, If B then left A and was joined by C and they finished the job in $1$ hour, how long it would have taken for C to do the whole job alone?

Pipes A and B can fill the cistern in $20$ and $30$ min and C can empty it in $15$ min. If the three are kept open successively for $1$ min each in that order how soon will the cistern be filled?

A bath can be filled by a cold water pipe in $10$ min and by the hot water pipe in $15$ min. A person leaves the bathroom after turning on both, and he returns when the bath should be full. Finding, however, the waste pipe has been open, he closes it. In $4$ min more the bath is full. At what time will the wastewater empty it?

A and B can fill a cistern in $7.5$ min and $5$ min and C can carry of $14$ litres per minute. If all pipes are open when it is full, it is emptied in $1$ hrs. How many litres can it hold?

A tank of volume $432$ cubic ft. has one inlet tap and two outlet taps. The inlet tap fills water into the tank $@ 4$ cubic inch/min. and the outlet two taps empty it out $@ 14$ cubic inch/min and $6$ cubic inch/min. respectively. If all the three taps are opened when the tank is full, in how much time will it be empty?