A garrison of 200 men has provisions sufficient for 30 days when the consumption is 400 grams per day per man. After twelve days, 50 men join. The remaining provisions will be sufficient for x more days, only when the consumption is 360 grams per day per man. Find the value of x

• 15

• 18

• 21

• 24

• None of these

X, Y and Z can complete a piece of work in 36 days, 90 days and 54 days respectively. All the three started the work together but Y left after ten days and X left the work after two more days. In how many days was the entire work completed?

• 12

• 18

• 24

• 30

• 36

18 men can complete a piece of work in 15 days and 10 women can complete the same work in 36 days. 12 men start working. After nine days, they are replaced by 20 women. In how many days will the remaining work be completed by 20 women?

• 10 4/5

• 9 4/5

• 12 3/4

• 5 3/5

• None of these

A pipe P can fill an empty tank in 4 hours 30 minutes. Because of a leak at the bottom of the tank, it took 7 hours 12 minutes to fill the tank. In how many hours can the leak empty the full tank?

• 8 hours

• 9 hours

• 10 hours

• 12 hours

• 6 hours

A pipe can fill an empty tank in 48 minutes. Another pipe can fill the tank at the rate of 64 litres/minute. A third pipe can empty the tank in 120 minutes. It takes 16 minutes to fill the tank when all the three pipes are opened. Find the capacity of the tank (in litres).

• 1280

• 1200

• 1250

• 1300

• None of these

A train can cross a 450 m long bridge in one minute and 20 seconds, whereas it can cross a 750 m long bridge in one minute 40 seconds. What is the length of the train?

• 400 m

• 450 m

• 500 m

• 750 m

• None of these

A bus was running at a speed of 45 kmph and the speed of the bus increased by 3 kmph at the end of every hour. What is the total distance covered by the bus in the first 12 hours of the journey?

• 750 km

• 762 km

• 735 km

• 756 km

• None of these

M and N are two stations which are 918 km apart. A train starts from station M at 8:45 a.m. and travels at a speed of 72 kmph towards station N. Another train starts from station N at 11:00 a.m. and travels at a speed of 54 kmph towards station M. At what time would the two trains cross each other?

• 7:00 p.m.

• 7:15 p.m.

• 2:45 p.m.

• 5:00 p.m.

• None of these

Train P crosses a stationary train Q in 54 seconds and a bridge of length 1100 m in 72 seconds travelling at the same speed. The length of train P is 900 m. What is the length of train Q?

• 400 m

• 500 m

• 600 m

• 700 m

• None of these

Excluding the stoppages, the average speed of a train is 120 kmph and including the stoppages, the average speed of the train is 90 kmph. For how many minutes does the train stop per hour?

• 15 minutes

• 12 minutes

• 18 minutes

• 20 minutes

• None of these