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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?
  • 1313 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 cm2 and whose height is 7 cm. What is the volume (in cm3) of the pyramid?
  • 98
  • 105
  • 126
  • 147
A square pyramid can contain 16 m3 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 inWhat is the volume (in in3) 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 5cm every second on a 60cm vertical rod and then falls down 2cm 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
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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers