1. There are two auto closed pipes A and B which get closed if there is any disturbance can fill a tank in 20 and 30 hrs. respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the tank which results in closing of both pipes. Through the leak one-third water supplied by both the pipes goes out & after it the leak was get closed by some means and both filling pipes again start filling the tank. The total time taken to fill the tank is (3)
- (1) 12 hr
- (2) 14 hr
- (3) 16 hr
- (4) 18 hr
- (5) 20 hr.
2. A tank of 3600 cu m capacity is being filled with water. The delivery of the pump discharging the tank is 20% more than the delivery of the pump filling the same tank. As a result, twelve minutes more time is needed to fill the tank than to discharge it. Determine the rate of delivery of the pump filling the tank. (2)
- (1) 40 m3 / min
- (2) 50 m3 / min
- (3) 60 m3 / min
- (4) 80 m3/ min
- (5) 58 m3/ min
3. A group of 30 men, working 4 hours a day can do a piece of work in 10 days. Find the number of days in which another group of 45 men working 8 hrs a day can do twice the work. Assume that 2 men of the first group do as much work in 2 hours as 4 men of the second group do in 1 hr. (2)
- (1) 19/3 days
- (2) 20/3 days
- (3) 33/6 days
- (4) 19/6 days
- (5) None of these
4. The manufacturer of an article makes a profit of 5%, the wholesale dealer makes a profit of 10%, and the retailer makes a profit of 15%. Find the manufacturing price of the article if the retailer sold it for Rs. 5313. (1)
- (1) Rs. 4000
- (2) Rs. 4500
- (3) Rs. 5000
- (4) Rs. 4950
- (5) None of these
5. 3 years ago, Ambuj was thrice as old as Avinash. If he ratio of their present ages is 8 : 3 respectively, what is the difference between their present ages in years ? (4)
- (1) 32 years
- (2) 30 years
- (3) 28 years
- (4) 35 years
- (5) None of these