QBM053

Q1. A finishes 6/7th of the work in 2z hours, B works twice as fast and finishes the remaining work. For how long did B work? Q2. 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days, 8 men and 6 boys can do 3 time the amount of this work in: (a) 21 days (b) 18 days (c) 24 days (d) 36 days Q3. A garrison of 22000 men has provision for 16 weeks at 4.5 kg per day per man. How many men should leave so that the same provision may last 24 weeks at 3.3 kg per day per men? Q4. A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men? (a) 1 days (b) 1-1/4 days (c) 1-3/4 days (d) 1-1/2 days Q5. Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it? Q6. Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed? (a)(3/2)a hours (b)(2/3)a (c)(4/3)a (d)(3/4)a Q7. 120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for: (a)150 days (b)146-1/4 days (c)245 days (d)260 days Q8. When the tub faucet is on full, it can fill the tub to overflowing in 20 minutes (we'll ignore the existence of the overflow drain). The drain can empty the tub in 15 minutes. Your four-year-old has managed to turn the faucet on full, and the drain was closed. Just as the tub starts to overflow, you run in and discover the mess. You grab the faucet handle, and it comes off in your hand. You yank the drain open, and run for towels to clean up the overflow. How long will it take for the tub to empty, with the faucet still on but the drain now open? Q9. Twenty people can produce 4 slingshots in 2 hours. How long will it take 15 people to make 30 slingshots? How many people are needed to make 40 slingshots in 2 hours? How many slingshots can be made by 5 people in 12 hours? Q10. 2 men and 7 boys together complete a certain work in 16 days, while 3 men and 8 boys together the same work in 12 days. Find, in how many days will 8 men and 8 boys together complete a work twice as big as the previous one. Q11. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z? (a)Rs. 360 (b)Rs. 120 (c)Rs. 240 (d)Rs. 300 Q12. A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for (a)18 days (b)17 1/2 days (c)16 days (d)15 days Q13. A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. In how many days will the job be completed ? END