CBSE Questions for Class 11 Commerce Applied Mathematics Numerical Applications Quiz 8 - MCQExams.com

If the day before yesterday was Thursday when will be Sunday?
  • Today
  • Two days after today
  • Tomorrow
  • Day after tomorrow
In each of the following questions, select the one which is different from the other three. 
  • Watch
  • Clock
  • Bangle
  • Bracelet
If day before yesterday was Friday, what will be the third day after the day - after - tomorrow ?
  • Thursday
  • Friday
  • Saturday
  • Sunday
A is 3 times more efficient than B. Hence, he takes 60 days less in painting a room. In how many days, work will be completed, if A & B both work together ?
  • $$30$$ days
  • $$45$$ days
  • $$\displaystyle 22\frac { 1 }{ 2 } $$ days
  • $$\displaystyle 17\frac { 1 }{ 2 } $$ days
If $$x$$ men can do a piece of work in $$y$$ days, in how many days will $$z$$ men do the same work?
  • $$\dfrac {xz}{y}$$
  • $$\dfrac {xy}{z}$$
  • $$\dfrac {yz}{x}$$
  • $$xyz$$
The arithinetic mean of $$5, 6, 8, 9, 12, 13, 17$$ is
  • $$20$$
  • $$15$$
  • $$10$$
  • $$25$$
If 4 days before today it was Monday, what day will it fall on after 3 days ? 
  • Sunday
  • Monday
  • Tuesday
  • Wednesday
Find the day of the week on $$\text{16 January, 1969}$$
  • Thursday
  • Monday
  • Tuesday
  • Friday
If the day before yesterday was Sunday, what day will fall on the day after tomorrow ?
  • Thursday.
  • Monday
  • Friday
  • Wednesday
A person born on a Monday in July 1921 retires in 1981 on the day he attains the age of He retires on
  • Monday
  • Wednesday
  • Friday
  • Saturday
Pipe A can fill a tank in 4 hours and pipe b can fill it in 6 hours . If they are opened at alternate hours and if pipe A is opened first, in how many hours  will the tank be filled ?
  • $$5$$ 
  • $$ \displaystyle 5\dfrac{2}{3} $$
  • $$4 $$ 
  • $$ \displaystyle 4\dfrac{2}{3} $$
An electric pump can fill a tank in $$3$$ hours. Because of a leak in the tank, it  took $$\displaystyle3\frac{1}{2}$$ hours to fill the tank. The leak can drain all the water off the tank in
  • $$12$$ hours
  • $$\displaystyle10\frac{1}{2}$$ hours
  • $$\displaystyle6\frac{1}{2}$$ hours
  • $$21$$ hours
If p persons working p hours a day for each of p days produce p units of works, then the units of work produced by q persons working q hours a day for each of q days is
  • $$\displaystyle\frac{q^3}{p^2}$$
  • $$\displaystyle\frac{q^2}{p^3}$$
  • $$\displaystyle\frac{p^2}{q^3}$$
  • $$\displaystyle\frac{p^3}{q^2}$$
What day of the week will 1st January 2008 be given that 1st January 2000 is a Saturday?
  • Sunday
  • Wednesday
  • Tuesday
  • None of these
Mohan was born on February 29 in the year 1960 How may birthdays will be celebrate upto 1976 February ?
  • 16
  • 8
  • 4
  • 5
  • 10
At what time between $$2$$ and $$3$$ O'clock will the hands of a clock be together?
  • $$10 \cfrac{10}{11}$$ min. past $$2$$
  • $$11 \cfrac{10}{11}$$ min. past $$2$$
  • $$13 \cfrac{10}{11}$$ min. past $$2$$
  • $$7 \cfrac{10}{11}$$ min. past $$2$$
If the first day of the year 1990 was a Monday what day of the week was 1st January 1998?
  • Thursday
  • Tuesday
  • Wednesday
  • Friday
The average maximum temperature for 7 days from the 12th September to 18th September is $$35^\circ C$$ and that for 7 days from 13th to 19th September is $$34^\circ C$$. From this we can conclude that
  • Maximum temperature on 19th is $$1^\circ C$$ less than that for 12th September
  • Maximum temperature on 12th is $$1^\circ C$$ less than that for 19th September
  • Maximum temperature on 19th is $$7^\circ C$$ less than that for 12th September
  • None of the above
A right pyramid on a regular hexagonal base is of height $$60$$ m. Each side of the base is $$10$$ m. The volume of the pyramid is
  • $$\displaystyle 4500\ \text{m}^{3}$$
  • $$\displaystyle 5000\ \text{m}^{3}$$
  • $$\displaystyle 5196\ \text{m}^{3}$$
  • $$\displaystyle 6196\ \text{m}^{3}$$
A can do a piece of work in 40 days , He worked at it for 5 days then B finished it in 21 days. The number of days that A and B take together to finish the work are
  • 15 days
  • 14 days
  • 13 days
  • 10 days
The weights of 9 apples are 50, 60, 65, 62, 67, 70, 64, 45, 48 grams. Their mean weight is
  • 60.5 gram
  • 60 gram
  • 59 gram
  • 62 gram
How many times in a day the two hands of a clock are at $$ \displaystyle 90^{\circ} $$
  • 4
  • 12
  • 22
  • 44
$$A$$ is thrice as good a work man as $$B$$ and takes $$60$$ days less than $$B$$ for doing a job. Find the time in which they can do it together.
  • $$15\dfrac{9}{3}$$
  • $$22\dfrac{4}{9}$$
  • $$15\dfrac{7}{4}$$
  • $$22\dfrac{1}{2}$$

$$A$$ can finish a work in $$24$$ days, $$B$$ in $$9$$ days and $$C$$ in $$12$$ days. $$B$$ and $$C$$  start the work but are forced to leave after $$3$$ days. The remaining work was done by $$A$$ in:

  • $$25$$ days
  • $$10$$ days
  • $$16$$ days
  • $$31$$ days
If $$ A$$ and$$ B$$ together can complete a piece of work in  $$15$$ days and $$ B$$ alone in $$ 20$$ days. In how many days a alone can complete the work ?
  • $$30$$ days
  • $$60$$ days
  • $$15$$ days
  • $$45$$ days
If $$6$$ men and $$8$$ boys can do a piece of work in $$10$$ days and $$26$$ men and $$48$$ boys can do same in $$ 2 $$ days, the time taken by $$15$$ men and  $$20$$  boys to do the same type of work will be :
  • $$5$$ days
  • $$4$$ days
  • $$6$$ days
  • $$7$$ days
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 ?
  • $$3 : 4$$
  • $$4 : 3$$
  • $$5 : 3$$
  • None of these
2 men or 3 women can do a piece of work in 10 days. In how many days can 4 men and 3 women do the work together ?
  • 30 days
  • 3.33 days
  • 20 days
  • 5.5 days
A tap can fill a tank in  $$16$$  min and another empty it in $$8$$ min. If the tank is already half full and both the taps are opened together, the tank will be
  • Filled in $$15$$ min
  • Filled in $$8$$ min
  • Emptied in $$12$$ min
  • Emptied in $$8$$ min
$$40$$ men can complete a work in $$40$$ days. They started working together. But $$5$$ men kept on leaving the job every $$10th$$ day. In how many days work will be completed ?
  • $$45$$ days
  • $$50$$ days
  • $$55.5$$ days
  • $$56.66$$ days
  • None of these
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to $$\displaystyle \frac { 1 }{ 2 } $$ of capacity in 3 hours and a second inlet pipe fills the same empty tank to $$\displaystyle \frac { 2 }{ 3 } $$ of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity? 
  • 3.25
  • 3.6
  • 4.2
  • 4.4
  • 5.5
If $$34$$ men completed $$\dfrac{2}{5}$$th of a work in $$8$$ days working  $$9$$ hours a day. How many more man should be engaged to finish the rest of the work in $$6$$ days working $$9$$ hours a day?
  • $$68$$ men
  • $$45$$ men
  • $$34$$ men
  • $$28$$  men
  • None of these
A researcher plans to identify each participant in a $$174$$ certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are $$12$$ participants,and each participant is to receive a different code?
  • $$4$$
  • $$5$$
  • $$6$$
  • $$7$$
  • $$8$$
Mr. Leelanand Kumar looks at the calendar for 2012, He finds that April 2012 has exactly four Mondays  and four Fridays. 1st April 2012 would fall on ?
  • Tuesday
  • Wednesday
  • Thursaday
  • Saturday
$$36$$  workmen are employed to finish a certain work in  $$48$$  days but it is found that in  $$24$$  days , only $$\dfrac{2}{5}$$ work is done. How many more men must be taken to finish the work in time?
  • $$16$$
  • $$20$$
  • $$18$$
  • None of these
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
  • $$\displaystyle \frac { x }{ x+y } $$
  • $$\displaystyle \frac { y }{ x+y } $$
  • $$\displaystyle \frac { xy }{ x+y } $$
  • $$\displaystyle \frac { xy }{ x-y } $$
  • $$\displaystyle \frac { xy }{ y-x } $$
$$2$$  men and $$5$$  women can do $$\dfrac{1}{4}$$th  of a job in  $$3 $$days . After  $$3$$  days ,  $$1 $$ man joined team and they completed another$$\dfrac{ 1}{4}$$ th of the job in $$ 2$$ days . How many men can complete the job in  $$4$$ days ?
  • $$6$$
  • $$24$$
  • $$34$$
  • $$12$$
A , B and C together can complete a piece of work in  $$10$$  days. All the three started working at it together and after  $$4$$  days A left. Then B and C together completed the work in  $$10$$  more days. A alone could complete the work in :
  • $$15$$  days
  • $$16$$  days
  • $$25$$ days
  • $$50$$  days
It one machine would take $$4$$ hours to complete a large production order and another machine $$3$$ hours to complete the same order. How many hours would both machines take, working simultaneously at their respective constant rates, to complete the order?
  • $$\displaystyle \frac { 7 }{ 12 } $$
  • $$\displaystyle 1\frac { 1 }{ 2 } $$
  • $$\displaystyle 1\frac {5}{ 7 } $$
  • $$\displaystyle 3\frac { 1 }{ 2 } $$
  • $$\displaystyle 7$$
$$6$$ oxen or $$8$$ cows can gaze a field in $$28$$ days. How long would $$9$$ oxen and $$2$$ cows take to graze the same field?
  • $$16$$ days
  • $$20$$ days
  • $$15$$ days
  • $$25$$ days
$$6$$ typist working $$5$$ hours a day can type the manuscript of a book in $$16$$ days. How many days will $$4$$ typists take to do the same job, each working $$6$$ hrs a day?
  • $$21$$ days
  • $$17$$ days
  • $$18$$ days
  • $$20$$ days
If $$10$$ workers can do a work in $$15$$ hours then $$30$$ workers can do it in _____  hours
  • $$5$$
  • $$10$$
  • $$15$$
  • $$30$$
Two hoses are pouring water into an empty pool. Hose $$1$$ alone would fill up the pool in $$6$$ hours. Hose $$2$$ alone would fill up the pool in $$4$$ hours. How long would it take for both hoses to fill up two-thirds of the pool?
  • $$2\dfrac {4}{5}$$ hours
  • $$3\dfrac {4}{5}$$ hours
  • $$2\dfrac {3}{5}$$ hours
  • $$1\dfrac {3}{5}$$ hours
Twelve identical machines, running continuously at the same constant rate, take $$8$$ days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by $$2$$ days?
  • $$2$$
  • $$3$$
  • $$4$$
  • $$6$$
  • $$9$$
If $$16$$ workers can do a work in $$20$$ hours then how many workers can do the work in $$10$$ hours?
  • $$8$$
  • $$16$$
  • $$32$$
  • $$24$$
A tap A can fill a cistern in $$4$$ hours and the tap B can empty the full cistern in $$6$$ hours. If both the taps are opened together in the empty cistern, in how much time will the cistern be filled up?
  • $$8hrs$$
  • $$10hrs$$
  • $$12hrs$$
  • $$14hrs$$
A and B together can complete a work in $$4$$ days. A alone can finish the work in $$12$$ days, In how many days B alone can finish the work?
  • $$5$$
  • $$15$$
  • $$6$$
  • $$8$$
A group of workers can do a piece of work in $$24$$ days. However as $$7$$ of them were absent it took $$30$$ days to complete work. How many people actually worked on the job to complete it?
  • $$28$$
  • $$35$$
  • $$30$$
  • $$42$$
What is the proportionality between the production of cakes & days and production of cakes & hours respectively?
  • direct, direct respectively
  • direct, inverse respectively
  • inverse, direct respectively
  • none of these
A cylindrical water tank has a diameter of 14 meters and a height of 20 meters. A water truck can fill TT cubic meters of the tank every minute. How long will it take the water truck to fill the water tank from empty to half full?
  • $$400$$ minutes
  • $$375$$ minutes
  • $$490$$ minutes
  • $$380$$ minutes
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