CBSE Questions for Class 11 Commerce Applied Mathematics Numerical Applications Quiz 7 - MCQExams.com

Pipe A fills a tank of $$700$$ litres capacity at the rate of $$40$$ litres a minute. Another pipe B fills the same tank at the rate of $$30$$ litres a minute. A pipe at the bottom of the tank drains the tank at the rate of $$20$$ litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
  • $$42$$ minutes
  • $$30$$ minutes
  • $$12$$ minutes
  • $$4$$ minutes
Two pipes A and B can fill a tank in $$36$$ hours and $$45$$ hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
  • $$50$$ hours
  • $$6$$ hours
  • $$20$$ hours
  • $$10$$ hours
Two pipes A and B can fill a cistern in $$\displaystyle 37\frac{1}{2}$$ min and $$45$$ min respectively. Both pipes were opened and the cistern was filled in just  $$\displaystyle \frac{1}{2}$$ an hour if the pipe B is turned off after what time it is opened? 
  • $$5$$ min
  • $$9$$ min
  • $$10$$ min
  • $$15$$ min
A large tanker can be filled by two pipes $$A$$ and $$B$$ in $$60$$ min and $$40$$ min. respectively. How many minutes will it take to fill the tanker from empty state if $$B$$ is used for half the time and $$A$$ and $$B$$ fill it together for the other half ?
  • $$15$$ min
  • $$20$$ min
  • $$27.5$$ min
  • $$30$$ min
A water tank can be filled by a tap in $$6$$ hours while it can be emptied by another tap in $$8$$ hours. If both the taps are opened simultaneously then after how much time will the tank get filled ?
  • $$14$$ hours
  • $$32$$ hours
  • $$18$$ hours
  • $$24$$ hours
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 ?
  • $$1$$ hours
  • $$2$$ hours
  • $$6$$ hours
  • $$8$$ hours
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank five hour faster than the first pipe and 4 hour slower than the third. The time required by the first pipe is:
  • $$6$$ hrs
  • $$10$$ hrs
  • $$15$$ hrs
  • $$30$$ hrs
A booster pump can be used for filling as well as emptying a tank. The capacity of the tank is $$2400$$ $$\displaystyle m^{3}$$. The emptying capacity of the tank is 10$$\displaystyle m^{3}$$/min higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it need to fill it. What is the filling capacity of the pump?
  • $$50$$ $$\displaystyle m^{3}/min.$$
  • $$60$$ $$\displaystyle m^{3}/min.$$
  • $$72$$ $$\displaystyle m^{3}/min.$$
  • None of these
Pipes A and B can fill a tank in $$5$$ and $$6$$ hours respectively. Pipe C can empty it in $$12$$ hours. If all the three pipes are opened together then the tank will be filled in
  • $$\displaystyle 1\frac{13}{17}$$ hours
  • $$\displaystyle 2\frac{8}{11}$$ hours
  • $$\displaystyle 3\frac{9}{17}$$ hours
  • $$\displaystyle 4\frac{1}{2}$$ hours
$$A$$ takes twice as much time as $$B$$ or thrice as much time as $$C$$ to finish a piece of work. Working together, they can finish the work in $$2$$ days. $$B$$  can do the work alone in
  • $$3$$ days
  • $$7$$ days
  • $$4$$ days
  • $$6$$ days
Three pipes $$A, B$$ and $$C$$ can fill a tank in $$6$$ hours. After working at it together for two hours, $$C$$ is closed and $$A$$ and $$B$$ can fill the remaining part in $$7$$ hours. The number of hours taken by $$C$$ alone to fill the tank is :
  • $$10$$
  • $$12$$
  • $$14$$
  • $$16$$
If $$x$$ men consume $$x$$ kg of good in $$x$$ days, then $$y$$ men will consume $$y$$ kg of good in  
  • $$y$$ days
  • $$x$$ days
  • $$\dfrac{x}{y}$$ days
  • $$\dfrac{y}{x}$$ days
At what time are the hands of a clock together between 5 and 6 ?
  • $$33\displaystyle \frac{3}{11}$$ min. past 5
  • $$28\displaystyle \frac{3}{11}$$ Min. past 5
  • $$27\displaystyle \frac{3}{11}$$ Min. past 5
  • $$26\displaystyle \frac{3}{11}$$ Min. past 5
If 40 persons consume 240 kg of rice in 15 days, in how many days will 30 persons consume 48 kg of rice?
  • 2 days
  • 3 days
  • 4 days
  • 5 days
A can contains a mixture of two liquids $$A$$ and $$B$$ in the ratio $$7 : 5.$$ When $$9$$ litres of mixture are drawn off and the can is filled with $$B,$$ the ratio $$A$$ and $$B$$ becomes $$7 : 9$$. How many litres of liquid $$A$$ was contained by the can initially ?
  • $$10$$
  • $$20$$
  • $$21$$
  • $$25$$
There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length $$\displaystyle \frac{\left ( 5a \right )}{2}$$, then the volume of this pyramid must be 
  • $$\displaystyle 3a^{3}$$
  • $$\displaystyle 3a^{3}\sqrt{2}$$
  • $$\displaystyle 3a^{3}\sqrt{3}$$
  • $$\displaystyle 6a^{3}$$
A is thrice as efficient as B and B is twice  as efficient as C. if A, B and C work together , how long will they take to complete a job which B complete in $$10$$ days ?
  • $$\displaystyle \frac{20}{9}$$ days
  • $$\displaystyle \frac{11}{9}$$ days
  • $$3$$ days
  • None of these
Find the day of the week on 18 July, 1776 (leap year). 
  • Monday
  • Tuesday
  • Wednesday
  • Thursday
A can do a job in 10 days and B in 20 days. They work together, but 4 days before the finish of the job A left. How many days they work together?
  • $$6$$
  • $$\dfrac {16}3 $$
  • $$8$$
  • $$14$$
Find the day of the week on 16 January, 1969
  • Monday
  • Tuesday
  • Wednesday
  • Thursday
How many times are the hands of a clocks coincide in a day?
  • $$10$$
  • $$11$$
  • $$12$$
  • $$22$$
On what dates of October, 1975 did Tuesday fall ?
  • $$7^{th}, 14^{th}, 21^{st},28^{th}$$
  • $$1^{st}, 8^{th}, 15^{th}, 22^{st},29^{th}$$
  • $$2^{nd}, 9^{th}, 16^{st},23^{rd}, 30^{th}$$
  • $$3^{rd}, 10^{th}, 17^{st}, 24^{th}, 31^{st}$$
I carried $$1000$$ kg of watermelon in summer by train. In the beginning, the water content was $$99\%$$. By the time I reached the destination, the water content had dropped to $$98\%$$. The reduction in the weight of the watermelon was
  • $$10 kg$$
  • $$50 kg$$
  • $$100 kg$$
  • $$500 kg$$
Find the day of the week on 26 January, 1950.
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
Find the day of the week on 15 August, 1947.
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
Find the day of the week on 26 January, 1950.
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
If February 1, 1966 is Wednesday, what day is March 10, 1966 ?
  • Monday
  • Sunday
  • Saturday
  • Friday
Find the day of the week on 15 August, 1947. 
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
Find the day of the week on 26 January, 1950
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
Twenty two men can complete a piece of work in $$17$$ days. They work for $$2$$ days. How many more men should now be employed so as to complete the work in another $$10$$ days?
  • $$11$$
  • $$22$$
  • $$33$$
  • None of these
How many times are the hands of a clocks coincide in a day ?
  • $$10$$
  • $$11$$
  • $$12$$
  • $$22$$
A fort had provision of food for $$150$$ men for $$45$$ days. After $$10$$ days $$25$$ men left the fort . The number of days for which the remaining food will last is__________.
  • $$\displaystyle 29\frac{1}{5}$$
  • $$\displaystyle 37\frac{1}{4}$$
  • $$42$$
  • $$54$$
There are taps $$A, B, C$$ fill up at an independently in $$ 10 hr, 20 hr, 30 hr,$$ respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour, What is the minimum number of hours required to fill the tank?
  • $$8$$
  • $$9$$
  • $$10$$
  • $$11$$
In U.P.on 17th Oct. 1996, the president rule was declared. Find the day of week on that date.
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
Find the day of the week on 15 August, 1947
  • Tuesday
  • Friday
  • Wednesday
  • Thursday
If the day, two days after tomorrow be Thursday, what day would have been two days before yesterday ?
  • Friday
  • Tuesday
  • Thursday
  • Wednesday
A can do a piece of work in 7 days of 9 hr each and B can do it in 6 days of 7 hr each How long will they take to do it working together $$\displaystyle \frac{42}{5}$$ hr a day?
  • 3 days
  • 4 days
  • 4.5 days
  • None of these
If $$5\,\text{January}\;1991$$ was a Saturday, what day of the week was $$3\,\text{March}\;1992$$ ?
  • Saturday
  • Sunday
  • Monday
  • Tuesday
$$A, B$$ and $$C$$ together can finish a piece of work in $$4$$ days. $$A$$ alone can do it in $$9$$ days and $$B$$ alone in $$18$$ days. How many days will be taken by $$C$$ to do it alone.
  • $$15$$ days
  • $$14$$ days
  • $$13$$ days
  • $$12$$ days
At what time are the hands of a clock together between 5 O'clock and 6 O'clock?
  • $$\displaystyle 33 \frac{3}{11}$$ minutes past 5
  • $$\displaystyle 28 \frac{3}{11}$$ minutes past 5
  • $$\displaystyle 27 \frac{3}{11}$$ minutes past 5
  • $$\displaystyle 26 \frac{3}{11}$$ minutes past 5
Ramesh travels $$760km$$ to his home partly by train and partly by car. He takes $$8hr$$, if he travels $$160km$$ by train and the rest by car. He takes $$12$$ minutes more, if he travels $$240km$$ by train and the rest by car. Find the speed of train and the car.
  • Speed of train $$=80km/hr$$ and speed of car $$=100km/hr$$
  • Speed of train $$=40km/hr$$ and speed of car $$=50km/hr$$
  • Speed of train $$=60km/hr$$ and speed of car $$=120km/hr$$
  • Speed of train $$=70km/hr$$ and speed of car $$=130km/hr$$
On which day of the week was the New year's day celebrated in $$2007$$ ?
  • Sunday
  • Monday
  • Wednesday
  • Friday
  • Tuesday
If yesterday of yesterday was Wednesday, which of the following days would represent tomorrow's yesterday ?
  • Tuesday
  • Thursday
  • Friday
  • Saturday
  • Wednesday
A clock is set right at $$\text{2 p.m.}$$ If it gains one minute an hour, what is the true time when the clock indicates $$7$$ pm the same day _______________.
  • $$55\displaystyle\frac{5}{61}\,\text{minutes past 6 pm}$$
  • $$53\displaystyle\frac{5}{61}\,\text{minutes past 8 pm}$$
  • $$52\displaystyle\frac{5}{61}\,\text{minutes past 4 pm}$$
  • $$57\displaystyle\frac{5}{61}\,\text{minutes past 5 pm}$$
At what time between $$\text{3 o ' clock and 4 o ' clock}$$, both the needles of the clock will coincide each other ?
  • $$16\displaystyle\frac{4}{11}\text{minutes past 3}$$.
  • $$\displaystyle\frac{2}{11}\,(3\times30+0)\,\text{minute past 3}$$
  • $$\displaystyle\frac{3}{11}\,(3\times30+0)\,\text{minute past 3}$$
  • $$\displaystyle\frac{4}{11}\,(3\times30+0)\,\text{minute past 3}$$
If $$\text{26 January 1995}$$ fell on a Thursday, on what day did it fall in the year $$1986$$ ?
  • Friday
  • Monday
  • Sunday
  • Thursday
  • Wednesday
If $$\text{8 March 1985}$$ was Friday, then which was the day on $$\text{26 July 1985}$$ ?
  • Tuesday
  • Friday
  • Monday
  • Thursday
A watch reads 4:If the minute hand points to East, in which direction does the hour hand point ? 
  • North-East
  • South-East
  • North-West
  • North
  • Blank
Which two months in a year have the same calender? 
  • April, July
  • January, August
  • March, October
  • June, September
Anshu correctly remembers that his sister's b'day is before 20th but after 15th Oct. but her father correctly remembers that his daughter's b'day is before 17th Oct. Anshu's sister's b'day falls on which day? 
  • 19th Oct
  • 16th Oct
  • 18th Oct
  • 15th Oct
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