CBSE Questions for Class 11 Commerce Applied Mathematics Numerical Applications Quiz 6 - MCQExams.com

If 5 men can cane 5 chairs in 5 hours then 1 man shall cane 1 chair in how many hours
  • 1 hour
  • 15 hours
  • 5 hours
  • 10 hours
$$A$$ completes a work in $$12$$ days. $$B$$ completes the same work in $$15$$ days. $$A$$ started working alone and after $$3$$ days $$B$$ joined him. How many days will they now take together to complete the remaining work?
  • $$6$$
  • $$8$$
  • $$5$$
  • $$4$$
  • None of these
12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days. The ratio of the daily work done by a man to that of a boy is 
  • 2 : 1
  • 3 : 1
  • 3 :2
  • 5 : 4
A takes 5 hours more time than that taken by B to complete a work. If working together they can complete a work in 6 hours, then the number of hours , then the number of hours that a takes to complete the work individually is 
  • 15
  • 12
  • 10
  • 9
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and I women to complete the job in $$\displaystyle \frac{1}{4}$$ of a day ?
  • 1
  • 4
  • 19
  • 41
A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job . if 6 men. leave after working for 6 days?
  • 10 days
  • 12 days
  • 8 days
  • 24 days
$$A$$ and $$B$$ can do a piece of work in $$20$$ days and $$12$$ days respectively. $$A$$ started the work alone and then after $$4$$ days. $$B$$ joined him till the completion of the work. How long did the work last.?
  • $$10$$ days
  • $$20$$ days
  • $$15$$ days
  • $$6$$ days
A contractor undertakes to complete a road 360 m long in 120 days and employs 30 men for the work. After 60 days he finds that only 120 m length 
of the road has been made . How many more men should he emply so that the work many be complete  in time ?
  • 20
  • 30
  • 15
  • 45
Three men , four women and six children can compete a work in seven days. A women does double the work a man does and a child does half the work a man does . How many women alone can complete the work in 7 days ?
  • 7
  • 8
  • 14
  • 12
8 men working for 9 hours a day can complete a piece of work in 20 days. In how many days can 7 men working for 10 hours a day complete the same piece of work?
  • $$\displaystyle 20\frac{1}{2}$$days
  • $$\displaystyle 20\frac{3}{5}$$days
  • 21 days
  • $$\displaystyle 20\frac{4}{7}$$days
A wall of 100 metres can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build a wall of 600 metres?
  • 15
  • 20
  • 25
  • 30
A tank can be filled by two pipes A and B separately in 3 hours and 3 hours 45 minutes respectively, A third pipe C can empty the full tank in 1 hour, when the tank was exactly half-filled, all the three pipes are opened. The tank will become empty in 
  • 1 hours 15 min
  • 2 hours 30 min
  • 3 hours 15 min
  • 4 hours 10 min
A tap can fill a bath in $$20$$ minutes and another tap can fill it in $$30$$ minutes. Amit opens both the taps simultaneously. When the bath should have been full, he finds that the waste pipe was open. He then closes the waste pipe and in another $$4$$ minutes the bath is full. In what time would the waste pipe empty it ?
  • $$35$$ min
  • $$38$$ min
  • $$36$$ min
  • $$39$$ min
A swimming pool is fitted with three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time as that taken by the third pipe alone. The second pipe fills the pool $$5\ hours$$ faster than the first pipe and $$4\ hours$$ slower than the tired pipe. Find the time required by the third pipe to fill the pool.
  • $$10\ hours$$
  • $$6\ hours$$
  • $$16\ hours$$
  • $$5\ hours$$
A man covered a certain distance at some speed had he moved 3 km/hr faster he would have taken 40 minutes less If he had moved 2 km/hr slower he would have taken 40 minutes more The distance ( in km) is
  • 35
  • $$\displaystyle 36\frac{2}{3}$$
  • $$\displaystyle 37\frac{1}{2}$$
  • 40
A started a work and left after working for 2 days. Then B was called and he finished the work in 9 days. Had a left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone finish the whole work ?
  • 5 days , 8.5 days
  • 2.5 days, 7.5 days
  • 5 days, 15 days
  • 3 days, 15 days,
A cistern has a leak which would empty it in 8 hours . A tap is turned on , which admits 6 liters a minutes into the cistern and it is now emptied in 12 hours, How many litres can the cistern hold?
  • 8000 litres
  • 8400 litres
  • 8640 litres
  • 8650 litres
Two pipes $$A$$ and $$B$$ can fill a cistern is $$12$$ minutes and $$15$$ minutes respectively, but a third pipe $$C$$ can empty the full tank in $$6$$ minutes. $$A$$ and $$B$$ are kept open for $$5$$ minutes in the beginning and then $$C$$ is also opened. In what time will the cistern be emptied ?
  • $$30$$ min
  • $$33$$ min
  • $$37.5$$ min
  • $$45$$ min
Two pipes can fill a tank with water in 15 and 12 hours respectively and the third pipe can empty it in hours. If the pipers are opened in order at 8,9 and 11 A. M. respectively, the thank will be emptied at 
  • 11 : 40 a.m
  • 12 : 40 p.m
  • 1 : 40 P,,m
  • 2:40 p.m
A drum can be filled with oil with  a supply pipe in 40 minutes. A gain the full drum cam be made empty by another pipe in 60 minutes, When $$\displaystyle\frac{1}{2}$$ part of the drum was filled, the second pipe was. opened and it was stopped after 15 minutes. if the supply pipe is opened how, time required to fill the drum is 
  • $$\displaystyle23\frac{1}{2}$$min
  • $$\displaystyle25\frac{2}{3}$$min
  • $$\displaystyle27\frac{1}{3}$$min
  • $$\displaystyle28\frac{2}{3}$$min
15 men can complete a work in 210 days, They started the work but at the end of 10 days, 15 additional men, with double efficiency, were inducted, How many days in all did they take to finish the work ?
  • $$\displaystyle72\frac{1}{2}$$days
  • $$\displaystyle84\frac{3}{4}$$days
  • $$\displaystyle76\frac{2}{3}$$
  • 70 days
A leak in the bottom of a tank can empty it in $$6$$ hours. A pipe fills the tank at the rate of $$4$$ liters per minute. When the tank is full, the inlet is opened but leak emptied the tank in $$8$$ hours. What is the capacity of the tank?
  • $$5260$$ L
  • $$5670$$ L
  • $$5946$$ L
  • $$5760$$ L
$$A$$ and $$B$$ can do a job in $$12$$ days and $$B$$ and $$C$$ can do it in $$16$$ days. After $$A$$ has been working for $$5$$ days and $$B$$ for $$7$$ days, $$C$$ finishes rest of the work in $$13$$ days, in how many days can C do the work alone ?
  • $$16$$ days
  • $$36$$ days
  • $$48$$ days
  • $$24$$ days
$$A$$ can complete a certain job in $$12$$ days. $$B$$ is $$60$$ % more efficient than $$A. B$$ can complete the work alone in:
  • $$6$$ days
  • $$6.25$$ days
  • $$7.2$$ days
  • $$7.5$$ days
$$A$$ can do a piece of work in $$80$$ days. He works for $$10$$ days and then $$B$$ alone finishes the remaining work in $$42$$ days. The two together could complete the work in
  • $$24$$ days
  • $$25$$ days
  • $$30$$ days
  • $$6$$ days
Taps $$A$$ and $$B$$ can fill in a tank in $$12$$ and $$15$$ min respectively. If both are opened and $$A$$ is closed after $$3$$ min how long will it take for $$B$$ to fill in the tank ?
  • $$8$$ min $$15$$ s
  • $$8$$ min $$5$$ s
  • $$7$$ min $$45$$ s
  • $$8$$ min $$45$$ s
$$A, B$$ and $$C$$ can do a job in $$11,20$$ and $$55$$ days respectively. How soon can the work be done if $$A$$ is assisted by $$B$$ and $$C$$ on alternate days?
  • $$7$$ days
  • $$9$$ days
  • $$8$$ days
  • $$10$$ days
$$A$$ and $$B$$ can do a piece of work in $$45$$ days and $$40$$ days respectively. They begin together but $$A$$ leaves after some days and $$B$$ completes the rest in $$23$$ days. For how many days did $$A$$ work ?
  • $$6$$ days
  • $$9$$ days
  • $$8$$ days
  • $$12$$ days
Tap A can fill the tank in two hours while taps B and C can empty it in six and eight hours respectively. All the taps remained open initially. After two hours tap C was closed and after one more hour tap B was also closed. In how much time now would the remaining tank get filled ? 
  • 12 min
  • 15 min
  • 30 min
  • 20 min
A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before completion. The number of days for which C worked is
  • 4
  • 8
  • 12
  • 24
$$A$$ does half as much work as $$B$$ and $$C$$ does half as much work as $$A$$ and $$B$$ together in the same time. If $$C$$ alone can do the work in $$40$$ days, all of them together will finish the work in
  • $$13$$ days
  • $$15$$ days
  • $$20$$ days
  • $$13.33$$ days
Ronald and Elan are working on an assignment Ronald takes $$6$$ hours to type $$32$$ pages on a computer while Elan takes $$5$$ hours to type $$40$$ pages. How much time will they take working together on two different computers to type an assignment of $$110$$ pages ?
  • $$7$$ hours $$30$$ minutes
  • $$8$$ hours
  • $$8$$ hours $$15$$ minutes
  • $$8$$ hours $$25$$ minutes
$$A$$ does $$\displaystyle \frac{4}{5}$$th of work in $$20$$ days. He then calls in $$B$$ and they together finish the remaining work in $$3$$ days. How long $$B$$ alone would take to do the whole work ?
  • $$23$$ days
  • $$37$$ days
  • $$\displaystyle 37\frac{1}{2}$$ days
  • $$40$$ days
$$A$$ can do a certain work in the same time in which $$B$$ and $$C$$ together can do it. If $$A$$ and $$B$$ together could do it in $$10$$ days and $$C$$ alone in $$50$$ days, then $$B$$ alone could do it in
  • $$15$$ days
  • $$20$$ days
  • $$25$$ days
  • $$30$$ days
A man can do a piece of work in $$5$$ days, but with the help of his son, he can do it in $$3$$ days. In what time can the son do it alone?
  • $$7.5$$ days
  • $$8.5$$ days
  • $$9.5$$ days
  • $$11.5$$ days
$$A$$ and $$B$$ together can do a piece of work in $$30$$ days. $$A$$ having worked for $$16$$ days, $$B$$ finishes the remaining work alone in $$44$$ days. In how many days shall $$B$$ finish the whole work alone?
  • $$30$$ days
  • $$40$$ days
  • $$60$$ days
  • $$70$$ days
$$A$$ can do a piece of work in $$9$$ days and $$B$$ in $$18$$ days. They began the work together but $$3$$ days before the completion of work $$A$$ leaves. The time taken to complete the work is:
  • $$7$$ days
  • $$5$$ days
  • $$8$$ days
  • $$11$$ days
A large tanker can be filled by two pipes $$A$$ and $$B$$ in $$60$$ minutes and $$40$$ minutes respectively. How many minutes will it take to fill the empty tanker if only $$B$$ is used in the first-half of the time and $$A$$ and $$B$$ are both used in the second-half of the time ?
  • $$15$$
  • $$20$$
  • $$27.5$$
  • $$30$$
A can do a piece of work in 24 days If B is 60% more efficient then the number of days required by B to do the twice as large as the earlier work is
  • 24
  • 36
  • 15
  • 30
$$A$$ can do a work in $$15$$ days and $$B$$ in $$20$$ days. If they work on it together for $$4$$ days, then the fraction of the work that is left is:
  • $$\displaystyle \frac{1}{4}$$
  • $$\displaystyle \frac{1}{10}$$
  • $$\displaystyle \frac{7}{15}$$
  • $$\displaystyle \frac{8}{15}$$
Two workers A and B working together completed a job in $$ 5$$ days. If A worked twice as efficiently as he actually did and B worked $$\displaystyle \frac{1}{3}$$ as efficiently as he actually did the work would have been completed in  $$3$$ days. A alone could complete the work in
  • $$\displaystyle 5\frac{1}{4}$$ days
  • $$\displaystyle 6\frac{1}{4}$$ days
  • $$\displaystyle 7\frac{1}{2}$$ days
  • None of these
$$A$$ alone can do a piece of work in $$6$$ days and $$B$$ alone in $$8$$ days. $$A$$ and $$B$$  undertook to do it for $$Rs. 3200.$$ With the help of $$C,$$ they completed the work in $$3$$ days. How much is to be paid to $$C$$?
  • $$300$$
  • $$400$$
  • $$600$$
  • $$800$$

Ravi and Kumar are working on an assignment. Ravi takes $$6$$ hours to type $$32$$ pages on a computer, while Kumar takes $$5$$ hours to type $$40$$ pages. How much time will they take, working together on two different computers to type an assignment of $$110$$ pages?
  • $$20$$ hours
  • $$5$$ hours $$40$$ minutes
  • $$8$$ hours $$15$$ minutes
  • $$23$$ hours
A cistern can be filled by a tap in $$4$$ hours while it can be emptied by another tap in $$9$$ hours. If both the taps are opened simultaneously then after how much time will the cistern get filled ?
  • $$4.5$$ hrs
  • $$5$$ hrs
  • $$6.5$$ hrs
  • $$7.2$$ hrs
A man a woman and a boy can complete a job in $$3, 4$$ and $$12$$ days respectively. How many boys must assist 1 man and 1 woman to complete the job in $$\displaystyle \frac{1}{4}$$ of a day?
  • $$1$$
  • $$4$$
  • $$19$$
  • $$41$$

$$A$$ works twice as fast as $$B.$$ If $$B$$ can complete a work in $$12$$ days independently, the number of days in which $$A$$ and $$B$$ can together finish the work in 
  • $$4$$ days
  • $$10$$ days
  • $$8$$ days
  • $$13$$ days
$$24$$ men can complete a work in $$16$$ days, $$32$$ women can complete the same work in $$24$$ days. $$16$$ men and $$16$$ women started working and worked for $$12$$ days. How many more men are to be added to complete the remaining work in $$2$$ days?
  • $$16$$
  • $$24$$
  • $$36$$
  • $$48$$
$$12$$ men can complete a piece of work in $$4$$ days while $$15$$ women can complete the same work in $$4$$ days $$6$$ men start working on the job and after working for $$2$$ days all of them stopped working. How many women should be put on the job to complete the remaining work if it is to be completed in $$3$$ days ?
  • $$15$$
  • $$18$$
  • $$22$$
  • None of these
$$A$$ and $$B$$ together can do a piece of work in $$12$$ days which $$B$$ and $$C$$ together can do in $$16$$ days. After $$A$$ has been working at it for $$5$$ days and $$B$$ for $$7$$ days, $$C$$ finishes it in $$13$$ days. In how many days $$C$$ alone will do the work ?
  • $$16$$ days
  • $$24$$ days
  • $$36$$ days
  • $$48$$ days
$$12$$ children take $$16$$ days to complete a work which can be completed by $$8$$ adults in $$12$$ days. $$16$$ adults started working and after $$3$$ days, $$10$$ adults left and $$4$$ children joined them. How many days will they take to complete the remaining work ?
  • $$3$$
  • $$4$$
  • $$6$$
  • $$8$$
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