Directions (Q. 1 – 3): A contractor undertook a project to complete it, in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time client wanted it :

Q1. How many men were working on the day the project was completed as per the date of client wanted to complete it?
(a) 5
(b) 10
(c) 20
(d) 14
(e) None of these

Q2. Find the number of days in which client wanted to complete his work.
(a) 15
(b) 10
(c) 8
(d) can’t be determined
(e) None of these

Q3. If the work was further increased by 50% but the contractor continues to increase the 5 workers on every 2 days then how many more days are required over the initial time specified by the client?
(a) 1 days
(b) 2 days
(c) 5 days
(d) can’t be determined
(e) None of these

Q4. A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours. Individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?
(a) 2
(b) 4
(c) 5
(d) 6
(e) None of these

Q5. A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working alone and one outlet pipe which can empty the full tank in 8 hours working alone. The inlet pipes are kept open for all the time but the outlet pipe was opened after 2 hours for one hour and then again closed for 2 hours then once again opened for one hour. This pattern of outlet pipe continued till the tank got completely filled. In how many hours the tank has been filled, working on the given pattern?
(a) 8 hours 24 minutes
(b) 10 hours 15 minutes
(c) 9 hours 10 minutes
(d) 9 hours 6 minutes
(e) None of these

Direction for question number (Q. 6 – 7) :8 men and 5 women working 6 hours a day can compelte a work in 4 days. Also 4 men and 5 women working for 8 hours a day can complete the same job in 5 days. Similarly 5 boys working 8 hours a day can complete the same job in 30 day.
Q6. If 4 men, 3 women and 4 boys worked together every day for 5 hours, then in how many days they have completed the work?
(a) 3
(b) 4
(c) 8
(d) 6
(e) None of these

Q7. If woman and children (boys) can’t be employed, then minimum how many men are required to complete the job in 6 days if the working hours per day cannot exceed 9?
(a) 4
(b) 5
(c) 6
(d) 7
(e) None of these

Q8. A bus meets with an auto at 10:00 am while going the same way in the same direction towards Haridwar. The Bus reach at Haridwar at 12:30 p.m. and take 1 hour rest at there. Bus return on the same way and meet with the same auto half an hour later. At what time the auto will reach at Haridwar?
(a) 3 pm
(b) 4 pm
(c) 3:30 pm
(d) 5 pm
(e) None of these

Q9. After travelling 3 hr a train meets with an accident due to this it stops far on hour. After this the train moves at 75% speed of its original speed and reaches to destination 4 hours late. If the accident would occur at 150 km ahead in the same line then the train reaches only 3.5 hour late. Then find the distance of journey and the original speed of the train?
(a) 1200 km, 100 km/hr
(b) 1200 km, 150km/hr
(c) 1000 km, 75 km/hr
(d) 900 km, 125 km/hr
(e) None of these

Q10. Ravi starts by car from Mumbai to Goa. After sometime he realise that he will cover only 75% of the distance in the scheduled time or he will be late by 3 hours, therefore he doubles his speed immediately and thus manages to reach Goa exactly on time. Find the time after which Ravi changed his speed?
(a) 3 h
(b) 4 h
(c) 5 h
(d) 6 h
(e) None of these