Q1. 
Three pipes $A$, $B$ and $C$ are connected to a tank. These pipes can fill the tank separately in 5 hr, 10 hr and 15hr respectively. When all the three pipes were opened simultaneously, it was observed that pipes $A$ and $B$ were supplying water at \(\left(\dfrac{3}{4}\right)^{th}\) of their normal rates for the 1st hour after which they supplied water at normal rate. Pipe $C$ supplied water at \(\left(\dfrac{2}{3}\right)^{th}\)of its normal rate for 1st 2 hours, after which it supplied at its normal rate. In how much time, tank would be filled? 
A.  1.05 hr 

B.  2.05 hr 

C.  3.05 hr 

D.  None of these 
Q2. 
If $A$ and $B$ work together, they will complete a job in 7.5 days. However, if $A$ works alone and completes half the job and then $B$ takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will $B$ alone take to do the job if $A$ is more efficient than $B$? 
A.  20 days 

B.  40 days 

C.  36 days 

D.  30 days 
Q3. 
Abhishek starts to paint a fence on one day. On the second day, two more friend of Abhishek join him. On the third day 3 more friends of him join him and so on. If the fence is completely painted this way in exactly 20 days, then find the number of days in which 10 girls painting together can paint the fence completely, given that every girl can paint twice as fast as Abhishek and his friends(Boys)? (Assume that the friends of Abhishek are all boys). 
A.  20 

B.  40 

C.  45 

D.  77 
Q4. 
$A$ and $B$ undertake to do a piece of work for Rs 600. $A$ alone can do it in 6 days while $B$ alone can do it in 8 days. With the help of $C$, they can finish it in 3 days, Find the share of $C$? 
A.  70 

B.  75 

C.  80 

D.  85 
Q5. 
There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes? 
A.  6 

B.  8 

C.  7 

D.  5 