1 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
2 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
3 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
4 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
5 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
6 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
7 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
8 $12$ 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
9 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
10 Two pipes $A$ and $B$ can fill a tank in $6$ hours and $14$ hours respectively. If they are opened on alternative hours and if pipe $A$ is opened first, in how many hours, the tank shall be full ? A) 4 B) $4\frac{1}{2}$ C) 5 D) $5\frac{1}{2}$
11 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.
12 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. 13 Two taps $A$ and $B$ , when opened together, can fill a tank in $6$ hours. How long will it take for the pipe $A$ alone to fill the tank ? I. $B$ alone take $5$ hours more than $A$ to fill the tank. II. The ratio of the time taken by $A$ to that taken by $B$ to fill the tank is $2:3$ 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 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
