CBSE Questions for Class 11 Commerce Applied Mathematics Numerical Applications Quiz 3 - MCQExams.com

An application was received by inward clerk in the afternoon of the week day. Next day he forwarded it to the table of the senior clerk, who was on leave that day. The senior clerk next day evening put up the application to the desk officer. Desk officer studied the application and disposed off the matter on the same day i.e. Friday. Which day was the application received by the inward clerk ?
  • Monday
  • Tuesday
  • Wednesday
  • Earlier week`s Saturday
  • None of these
$$A$$ and $$B$$ can complete a work in $$15$$ days and $$10$$ days respectively. They started doing the work together but after $$2$$ days $$B$$ had to leave and $$A$$ alone completed the remaining work. The whole work was completed in:
  • $$8$$ days
  • $$10$$ days
  • $$12$$ days
  • $$15$$ days
$$2, 10, m, 12, 4$$
A group of $$5$$ integers is shown above. If the average (arithmetic mean) of the numbers is equal to $$m$$, find the value of $$m$$.
  • $$7$$
  • $$8$$
  • $$9$$
  • $$10$$
  • $$11$$
$$10$$ pipes fill a tank in $$3$$ hours. How many pipes are required to fill it in $$2$$ hours?
  • $$15$$
  • $$25$$
  • $$30$$
  • $$18$$
What will be the day of the week 15th August, 2010?
  • Sunday
  • Monday
  • Tuesday
  • Friday
How much time will the leak take to empty the full cistern?
I. The cistern is normally filled in $$9$$ hours.
II. It takes one hour more than the usual time to fill the cistern because of la leak in the bottom.
  • I alone sufficient while II alone not sufficient to answer
  • II alone sufficient while I alone not sufficient to answer
  • Either I or II alone sufficient to answer
  • Both I and II are not sufficient to answer
  • Both I and II are sufficient to answer
How many worker are required for completing the construction work in $$10$$ days?
$$I$$. $$20$$% of the work can be completed by $$8$$ workers in $$8$$ days.
$$II$$. $$20$$ workers can complete the work in $$16$$ days.
$$III$$. One-eighth of the work can be completed by $$8$$ workers in $$5$$ days.
  • $$I$$ only
  • $$II$$ and $$III$$ only
  • $$III$$ only
  • $$I$$ and $$III$$ only
  • Any one of the three
Two pipes can fill a tank in $$20$$ and $$24$$ minutes respectively and a waste pipe can empty $$3$$ gallons per minute. All the three pipes working together can fill the tank in $$15$$ minutes. The capacity of the tank is.
  • $$60$$ gallons
  • $$100$$ gallons
  • $$120$$ gallons
  • $$180$$ gallons
Two pipes A and B together can fill a cistern in $$4$$ hours. Had they been opened separately, then B would have taken $$6$$ hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
  • $$1$$ hour
  • $$2$$ hours
  • $$6$$ hours
  • $$8$$ hours
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in $$36$$ minutes, then the slower pipe alone will be able to fill the tank in.
  • $$81$$ min.
  • $$108$$ min.
  • $$144$$ min.
  • $$192$$ min.
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
  • $$3:4$$
  • $$4:3$$
  • $$5:3$$
  • Data inadequate
$$X$$ can do a piece work in $$40$$ days. He works at it for $$8$$ days and then $$Y$$ finished it in $$16$$ days. How long will they together take to complete the work?
  • $$13\cfrac{1}{3}$$ days
  • $$15$$ days
  • $$20$$ days
  • $$26$$ days
If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month?
  • Tuesday
  • Monday
  • Wednesday
  • Sunday
How many men will be required to plough $$100$$ acres of land is $$10$$ days if $$10$$ men require $$8$$ days to plough $$20$$ acres of land?
  • $$30$$
  • $$40$$
  • $$50$$
  • $$60$$
Nitin correctly remembers that Nidhi's birthday is before Friday but after Tuesday. Dheeraj correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall?
  • Monday
  • Tuesday
  • Wednesday
  • Thursday
The basic unit of speed is:
  • km$$/$$min
  • m$$/$$min
  • km$$/$$h
  • m$$/$$s
A bag contains Rs. $$112$$ in the form of $$1$$-rupee, $$50$$-paise and $$10$$-paise coins in the ratio $$3 : 8 : 10$$. What is the number of $$50$$-paise coins?
  • $$112$$
  • $$128$$
  • $$96$$
  • $$24$$
If $$15$$ men can do a piece of work in $$20$$ days. In how many days can $$25$$ men finish the same work?
  • $$12$$
  • $$15$$
  • $$2$$
  • $$20$$
Two pipes A and B can fill a tank in $$4$$ hours and $$5$$ hours respectively. If they are turned up alternatively for one hour each, the time taken to fill the tank is
  • $$2\ hrs\ 15\ min$$
  • $$4\ hrs\ 24\ min$$
  • $$5\ hrs$$
  • $$3\ hrs$$
A can do a piece of work in $$20$$ days B in $$15$$ days and C in $$12$$ days. How soon can the work be done if A is assisted by B on one day and by C on the next alternately?
  • $$14$$ days
  • $$6$$ days
  • $$8$$ days
  • $$10$$ days
A pyramid whose base is a regular pentagon of area $$42\ {cm}^2$$ and whose height is $$7$$ cm. What is the volume (in $${cm}^3$$) of the pyramid?
  • $$98$$
  • $$105$$
  • $$126$$
  • $$147$$
A square pyramid can contain $$16\ m^3$$ of water. The height of the pyramid is $$3\ m$$. Calculate the length of base of the square pyramid.
  • $$16\ m$$
  • $$12\ m$$
  • $$4\ m$$
  • $$2\ m$$
The  arithmatic mean of $$4,6,8$$ is
  • $$4$$
  • $$6$$
  • $$8$$
  • $$4.5$$
The monthly average expenditure of a family with $$4$$ members is Rs.$$2,800$$. Find the monthly average expenditure of a family with only $$3$$ members.
  • Rs. 2000
  • Rs. 2300
  • Rs. 2100
  • Rs. 2800
The diagram shows a square-based pyramid with base lengths $$6\ in$$ and height $$8\ in$$. What is the volume (in in$$^3$$) of the pyramid?
580993.png
  • $$64$$
  • $$96$$
  • $$144$$
  • $$288$$
Which of the following relations is correct ?
  • Speed$$=$$Distance Time
  • Speed$$=$$Distance $$/$$Time
  • Speed$$-$$ Time $$/$$ Distance
  • Speed$$=1/$$Distance Time
Find the number of ways in which $$5$$ persons $$A,B,C,D,E$$ can be seated round a table such that A and B always sit together?
  • $$24$$
  • $$12$$
  • $$6$$
  • $$36$$
The mean of a sample is:
  • Always equal to the mean of the population
  • Always smaller than the mean of the population
  • Computed by summing the data values and dividing the sum by $$(n - 1)$$
  • Computed by summing all the data values and dividing the sum by the number of items
Arithmetic mean of $$2$$ and $$8$$ is
  • $$5$$
  • $$10$$
  • $$16$$
  • $$3.2$$
An insect crawls up $$5$$cm every second on a $$60$$cm vertical rod and then falls down $$2$$cm over the next second. How many seconds will it take to climb the rod?
  • $$20$$ seconds
  • $$39$$ seconds
  • $$60$$ seconds
  • $$30$$ seconds
A tank contains $$500$$ litres of water. Due to a small hole in the tank, the quantity of water is decreasing at the rate of $$9$$ litres every hour. What will be the quantity of water in the tank after $$10$$ hours?
  • $$410$$ litres
  • $$491$$ litres
  • $$400$$ litres
  • $$90$$ litres
Abhinav celebrates his birthday just after $$4^{th}$$ Tuesday of September, 20XX. The date after his birthday will be _____ . 
804796_8ab5e830c5894c6093f63e31fe1d0cf5.png
  • $$26^{th} $$ September
  • $$18^{th} $$ September
  • $$25^{th} $$ September
  • $$29^{th} $$ September
There is leak in the bottom of a tank. This leak can empty full tank in 8 hours.When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours.What is the capacity of the tank?
  • $$28.8$$ litres
  • $$36$$ litres
  • $$144$$ litres
  • $$145$$ litres
Everyone in Biba's neighbourhood is permitted to swim at Barton Pool at sometime during each day that it is open. No children under the age of 6 are permitted to swim at Barton Pool between noon and 5 P.M. From 5 P.M. until closing, Barton Pool is reserved for adults only.
If all the sentences above are true, then which one of the following must be true?
  • Few children under the age of 6 live in Biba's neighbourhood
  • If Biba's next door neighbour has a child under the age of 6, then Barton Pool is open before noon
  • If most children who swim in Barton Pool swim in the afternoon, then the pool is generally less crowded after 5 P.M.
  • On day's when Barton Pool is open, at least some children swim there in the afternoon
Mr. X , the president of a club arrived in a meeting at 10 minutes to 12:30 hrs. Mr. X came earlier by 20 minutes than the other participating members in the meeting, who arrived late by 30 minutes. At what time was the meeting scheduled?
  • 12:20 hrs
  • 12:10 hrs
  • 12:50 hrs
  • 12:40 hrs
The Bubna dam has four inlets.Through the first three inlets,the dam can be filled in 12 minutes; through the second, the third and the fourth inlet,it can be filled in 15 minutes; and through the first and the first inlet, in 20 minutes.How much time will take all the four inlets to fill up the dam?
  • $$8\ min$$
  • $$10\ min$$
  • $$12\ min$$
  • None of these
Two taps A and B can fill a tank in $$10$$ hrs and $$12$$ hrs respectively. If both the taps are opened together, the tank will be full in
  • $$5\dfrac { 6 }{ 11 }$$
  • $$5\dfrac { 3 }{ 11 }$$
  • $$5\dfrac { 4 }{ 11 }$$
  • $$5\dfrac { 5 }{ 11 }$$
A group of workers accepted to do a piece of work in $$25$$ days.If $$6$$ of them did not turn up for the work and the remaining workers did the work in $$40$$ days, then the original number of workers was
  • $$22$$
  • $$18$$
  • $$20$$
  • $$16$$
If $$5$$ men can build a wall in $$12$$ days. How many men can build it in $$10$$ days?
  • $$6$$
  • $$7$$
  • $$8$$
  • $$4$$
$$3$$ men or $$5$$ women can do a work in $$12$$ days. How long will $$6$$ men and $$5$$ women take to finish the work?
  • $$4$$ days
  • $$10$$ days
  • $$15$$ days
  • $$20$$ days
$$12$$ workers can complete a piece of work in $$10$$ days. If the number of workers are reduced to $$\dfrac {1}{3}rd$$ of the original number, then how many more days would be required to complete the same work?
  • $$3$$
  • $$5$$
  • $$15$$
  • $$20$$
If February 1, 1996 is a Thusrday, then what day is March 10, 1996 ?
  • Monday
  • Sunday
  • Saturday
  • Friday
A can do $$\dfrac 12$$ of a piece of work in $$5$$ days. B can do $$3S$$ of the same work in $$9$$ days and C can do $$\dfrac 23$$ of that work in $$8$$ days. In how many days can three of them together do the work. 
  • $$3$$ days
  • $$5$$ days
  • $$4 \, \dfrac{1}{2}$$ days
  • $$4$$ days
Choose the correct answer from the alternatives given :
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely.
  • 3 hours 15 min.
  • 3 hours 45 min.
  • 4 hours.
  • 4 hours 15 min.
Choose the correct answer from the alternatives given.
A can complete a work in m days and B can complete it in n days. How many days will it take to complete the work if both A and B work together?
  • $$(m + n) $$days
  • $$(\dfrac{1}{m} \times \dfrac{1}{n})$$ days
  • $$(\dfrac{m + n}{mn})$$days
  • $$(\dfrac{mn}{m + n})$$days
$$A$$ and $$B$$ together can finish a work in $$30$$ days. They worked on it for $$20$$ days and then $$B$$ left the work. The remaining work was done by $$A$$ alone in $$20$$ days more. In how many days can $$A$$ alone finish the work?
  • $$48\ days$$
  • $$50\ days$$
  • $$54\ days$$
  • $$60\ days$$
$$A$$ and $$B$$ together can complete a work in $$3$$ days. They start together but, after $$2$$ days, $$B$$ left the work. If the work is completed after $$2$$ more days, $$B$$ alone could do the work in
  • $$4$$ days
  • $$6$$ days
  • $$8$$ days
  • $$10$$ days
Choose the most appropriate option for the following question.
If $$27th$$ March $$2011$$ was Sunday, what was the day on $$27th$$ June, $$2011$$?
  • Tuesday
  • Saturday
  • Monday
  • Sunday.
Which is the only month in a normal year that has $$28$$ days?
  • April
  • February
  • December
  • June
A can do a piece of work in $$9$$ days. B is $$50\%$$ more efficient than A. The number of days it takes B to do the same piece of work is:
  • $$13\frac{1}{2}$$
  • $$4\frac{1}{2}$$
  • $$6$$
  • $$3$$
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers