1 Two pipes C and D can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? A) 40 hours B) 50 hours C) 60 hours D) 20 hours E) none of the above
2 Two pipes can fill a tank in $10$ hours and $12$ hours respectively while a third pipe empties the full tank in $20$ hours. If all the three pipes operate simultaneously, in how much time will the tank be filled ? A) 7 hrs 30 min B) 7 hrs 40 min C) 7 hrs 50 min D) 8 hrs 30 min E) 7 hrs
3 A cistern has two taps which fill it in $12$ minutes and $15$ minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in $20$ minutes. How long will the waste pipe take to empty the full cistern ? A) 20 minutes B) 30 minutes C) 40 minutes D) 50 minutes E) 10 minutes
4 An electric pump can fill a tank in $3$ hours. Because of a leak in the tank, it took $3\frac{1}{2}$ hours to fill the tank. If the tank is full, how much time will the leak take to empty it ? A) 21 hours B) 20 hours C) 30 hours D) 40 hours E) 50 hours
5 Two pipes can fill a cistern in $14$ hours and $16$ hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took $32$ minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it ? A) 100 hours B) 112 hours C) 150 hours D) 160 hours E) 180 hours
6 Two pipes $A$ and $B$ can fill a tank in $36$ min and $45$ min respectively. A water pipe $C$ can empty the tank in $30$ min. First $A$ and $B$ are opened. After $7$ minutes, $C$ is also opened. In how much time, the tank is full ? A) 30 minutes B) 40 minutes C) 46 minutes D) 39 minutes E) 50 minutes
7 Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes ? A) 10 min B) 15 min C) 5 min D) 7 min E) 8 min
8 A water tank is $\frac{2}{5}$ full. Pipe $A$ can fill a tank in $10$ minutes and pipe $B$ can empty it in $6$ minutes. If both the pipes are open, how long will it take to empty or fill the tank completely? A) 6 min. to empty B) 6 min. to fill C) 9 min. to fill D) None of these
9 A pump can fill a tank with water in $2$ hours. Because of a leak, it took $2\frac{1}{3}$ hours to fill the tank. The leak can drain all the water of the tank in : A) $4\frac{1}{3}$ B) 7 hrs C) 8 hrs D) 14 hrs
10 $12$ buckets of water fill a tank when the capacity of each tank is $13.5$ liters. How many buckets will be needed to fill the same tank, if the capacity of each bucket is $9$ liters ? A) 8 B) 15 C) 16 D) 18
11 Three pipes X, Y and Z can fill a tank in $6$ hours. After working at it together for $2$ hours, $Z$ is closed and $X$ and $Y$ can fill the remaining part in $7$ hours. The number of hours taken by $Z$ alone to fill the tank is: A) 10 B) 12 C) 14 D) 16
12 A large tanker can be filled by two pipes $X$ and $Y$ in $60$ minutes and $40$ minutes respectively. How many minutes will it take to fill the tanker from empty state if $Y$ is used for half the time and $X$ and $Y$ fill it together for the other half? A) 15 min. B) 20 min. C) 27.5 min D) 30 min.
13 A leak in the bottom of a tank can empty the full tank in $8$ hours. An inlet pipe fills water at the rate of $6$ liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in $12$ hours. How many liters does the cistern hold ? A) 7980 B) 7860 C) 8640 D) 8340
Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question. 14 A tank is filtered with two inlet pipes $A$ and $B$. Both the pipes are kept open for $10$ minutes so that the tank is $\frac{2}{3}$ full and then pipe $A$ is closed. How much time will $B$ take to fill the remaining part of the tank ? I. Pipe $A$ is thrice as fast as pipe $B$. II. Pipe $B$ alone can fill the tank in $60$ minutes. A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer E) Both I and II are necessary to answer
Each of these questions followed by three statements. Please study the questions and decide which of the statement(s) is/are necessary to answer the question. 15 A tank is fitted with two taps $A$ and $B$. In how much time will the tank be full if both the taps are opened together ? I. $A$ is $50\%$ more efficient than $B$. II. $A$ alone takes $16$ hours to fill the tank. III. $B$ alone takes $24$ hours to fill the tank. A) II and III only B) All I, II and III C) I and II only D) I and III only E) Any two of the three
