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

$$A$$ and $$B$$ can do a work in $$10$$ days, $$B$$ and $$C$$ in $$15$$ days and $$A$$ and $$C$$ in $$12$$ days. In how many days the work will be finished by $$A, B$$ and $$C$$ working together.
  • $$6$$
  • $$7$$
  • $$8$$
  • $$9$$
The mean of squares of consecutive odd numbers from 1 to 13 is
  • 70
  • 65
  • 75
  • 66
In a project, a team of $$400$$ labourers were assumed to complete a job in $$18$$ months. Later on, it was required to complete the job in $$10$$ months. The number of extra labourers are employed to complete the work is
  • $$240$$
  • $$320$$
  • $$360$$
  • $$420$$
If $$\dfrac{1}{6!}+\dfrac{1}{7!}=\dfrac{x}{8!}$$, then $$x=?$$
  • $$32$$
  • $$48$$
  • $$56$$
  • $$64$$
The exponent of 3 in $$100!$$ is 
  • $$12$$
  • $$24$$
  • $$48$$
  • $$96$$
The letters of word 'ZENITH' are written in all positive ways. If all these words are written in the order of a dictionary, then the rank of the word 'ZENITH' is
  • $$716$$
  • $$692$$
  • $$698$$
  • $$616$$
There are n seats round a table marked $$1, 2, 3,...,n.$$ The number of ways in which $$m(<n)$$ persons can take seats is
  • $$^nP_m$$
  • $$^nC_m\times(m-1)!$$
  • $$^nC_{m!}$$
  • $$^{n-1}P_{m-1}$$
$$8$$ men can finish a piece of work in $$40$$ days. If $$2$$ more men join them, the work will be completed in 
  • $$30$$ days
  • $$32$$ days
  • $$36$$ days
  • $$25$$ days
If $$(4/5)$$ of a cistern is filled in $$1$$ minutes, how much more time will required to fill the rest of it?
  • $$20$$ seconds
  • $$15$$ seconds
  • $$12$$ seconds
  • $$10$$ seconds
Four alternative options are given for each of the following statement . Select the correct  option .
The mean of score $$ 10 , 15 , 12 , 15 , 15  $$ is
  • $$ 15 $$
  • $$ 13 $$
  • $$ 13 . 4 $$
  • $$ 14 . 3 $$
Four alternative options are given for each of the following statement . Select the correct  option .
The mean of first three multiples of $$ 5 $$ is
  • $$ 5 $$
  • $$ 10 $$
  • $$ 15 $$
  • $$ 30 $$
A student got 85, 87 and 83 marks in Mathematics, Physics and Chemistry respectively. Mean of obtained marks.
  • 86
  • 84
  • 85
  • 85.5
53, 75, 42, 70 are marks obtained by 4 students is statistics. Arithmetic mean of their marks is:
  • 42
  • 64
  • 60
  • 56
The average of statistical data is called :
  • Arithmetic mean
  • Median
  • Mode
  • Frequency
_________ represent the average of values.
  • Mean
  • Mode
  • Median
  • Range
Which measure of central tendency takes into account the magnitude of scores?
  • Mean
  • Mode
  • Range
  • Median
$$A$$ and $$B$$ can do a piece of work in $$5$$ days, $$B$$ and $$C$$ can do it in $$7$$ days. $$A$$ and $$C$$ can do it in $$4$$ days. Who among these will take the least time if put to do it alone ?
  • $$A$$
  • $$B$$
  • $$C$$
  • Data inadequate
A and B can do a job in $$12$$ days, B and C can do it in $$16$$ days. After A has worked for $$5$$ days and B has worked for $$7$$ days, C can finish the rest in $$13$$ days. In how many days, can C do the work alone?
  • $$16$$ days
  • $$24$$ days
  • $$36$$ days
  • $$48$$ days
$$3$$ men and $$4$$ boys can do a piece of work in $$14$$ days, while $$4$$ men and $$6$$ boys do the same work in $$10$$ days. How long would it take one man to finish the same work ?
  • $$40$$ days
  • $$20$$ days
  • $$35$$ days
  • $$70$$ days
Two men and $$5$$  boys together can finish a piece of work in  $$4$$ days, while $$3 $$ men and $$ 6$$  boys can finish in $$3$$  days. Find the time taken :
(i) by one man alone to finish the work
(ii) by one boy alone to finish the work.
  • $$17$$ days and $$ 19$$ days
  • $$14$$ days and $$22$$  days
  • $$18$$  days and $$36$$ days
  • $$17$$ days and $$13$$ 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?
  • $$15$$
  • $$20$$
  • $$27.5$$
  • $$30$$
$$16$$ men can complete a work in $$12$$ days, $$24$$ children can complete the same work in $$18$$ days, $$12$$ men and $$8$$ children started working and after $$8$$ days, $$3$$ more children joined them. How many days will they now take to complete the remaining work ?
  • $$2$$ days
  • $$4$$ days
  • $$6$$ days
  • $$8$$ days
A can do a piece of work in $$7$$ days of $$9$$ hr each, and B can do it in $$6$$ days of $$7$$ hour. 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
$$2$$ men and $$3$$ boys together can do a piece of work in $$8$$ days. The same work is done in $$6$$ days by $$3$$ men and $$2$$ boys together. How long would $$1$$ boy alone or $$1$$ man alone take to complete the work.
  • One boy alone can do a piece of work in $$130$$ days

    and one man alone can do a piece of work in $$160$$ days
  • One boy alone can do a piece of work in $$90$$ days

    and one man alone can do a piece of work in $$70$$ days
  • One boy alone can do a piece of work in $$120$$ days

    and one man alone can do a piece of work in $$20$$ days
  • One boy alone can do a piece of work in $$160$$ days

    and one man alone can do a piece of work in $$12$$ days
A cabinet of ministers consists of 11 ministers, one minister being the chief minister. A meeting is to be held in a room having a round table and 11 chairsround it, one of them being meant for the chairman. The number of ways in which the ministers can take their chairs, the chief minister occupying the chairman's place, is
  • $$\displaystyle \frac{1}{2} (10!)$$
  • $$\displaystyle 9!$$
  • $$\displaystyle 10!$$
  • none of these
Pooja and Ritu can do a piece of work in $$17\displaystyle \frac{1}{7}$$ days. If one day work of Pooja be three fourth of one day work of Ritu; find in how many days each alone will do the work.
  • Pooja in $$44$$ days and Ritu in $$8$$ days
  • Pooja in  $$80$$ days and Ritu in $$ 500$$  days
  • Pooja in  $$20$$  days and Ritu in  $$120 $$ days
  • Pooja in  $$40$$ days and Ritu in $$30$$ days
$$A$$ can do a work in $$15$$ days and $$B$$ can do the same work in $$ 20$$ days, if $$A$$ and $$B$$ has done work for $$4$$ days together, the fraction of work left?
  • $$\dfrac{8}{15}$$
  • $$\dfrac{2}{15}$$
  • $$\dfrac{1}{5}$$
  • $$\dfrac{7}{13}$$
  • $$\dfrac{16}{15}$$
4 men and 6 women working together can complete the work within 10 days.3 men and 7 women working together will complete the same work within 8 days. In how many days 10 women will complete this work? 
  • 5
  • 8
  • 5.5
  • None
Two pipes can fill an empty tank separately in  $$24$$  minutes  and  $$40$$ minutes respectively and a third pipe can empty  $$30$$  gallons of water per minute. If all the three pipes are open, empty tanks becomes full in one hour. The capacity of tank (in gallons) is 
  • $$500$$
  • $$550$$
  • $$600$$
  • $$700$$
A tap A can fill a cistern in $$8$$ hours while tap B can fill it in $$4$$ hours. In how much times will the cistern be filled if both A and B are opened together?
  • $$2hrs\;30min$$
  • $$2hrs\;40min$$
  • $$2hrs\;50min$$
  • $$3hrs$$
In half of a 600 square meters field, a fanner sowed ragi, in one-third of the remaining, he sowed coconut and in one-fourth of the left over, he sowed groundnut. He left half of the remaining land uncultivated. In one-third of the land still left, he dug a well, utilising the remaining land for growing orchids. What fraction of the total land is he using for orchid cultivation?
  • 1/36
  • 1/28
  • 1/16
  • 1/12
A man was engaged on a job for $$30$$ days on the condition that he would get a wage of Rs. $$10$$ for the day he works , but he have to pay a fine of Rs. $$2$$for each day of his absence. If he gets Rs. $$216$$ at the end. He was absent for work for how many days ?
  • $$7$$ days
  • $$8$$ days
  • $$9$$ days
  • $$10$$ days
  • None of these
A monkey ate 100 idli's in 5 days, each day eating 6 more than the previous day. How many did it eat on the last day?
  • 23
  • 26
  • 35
  • 32
A $$10$$ hectare field is reaped by $$2$$ men, $$3$$ women and $$4$$ children in $$10$$ days. If a man, a woman and a child work in the ratio $$5 : 4 : 2,$$ a $$16$$ hectare field will be reaped by $$6$$ men, $$4$$ women and $$7$$ children in:
  • $$5$$ days
  • $$\displaystyle6\frac{1}{2}$$ days
  • $$7$$ days
  • $$8$$ days
If a pipe fills the tank in $$10$$ minutes, how much minutes it will take to half fill the tank in we connect two pipes?
  • $$20$$
  • $$10$$
  • $$5$$
  • $$2.5$$
If $$15$$ men complete a task in $$3$$ days, how many days will  $$9$$  men take to complete it?
  • $$3$$
  • $$4$$
  • $$5$$
  • $$6$$
The average bonus per employee was.
The chart shows the amount paid in bonuses to the employees of a certain firm.
Bonus paid to an employee$$(\$)$$$$50$$$$100$$$$150$$$$200$$
Number of employees$$7$$$$37$$$$4$$$$2$$
  • $$81$$
  • $$91$$
  • $$100$$
  • $$101$$
  • $$105$$
Raman can do a work in $$5$$ days, Jatin can do the same work in $$7$$ days and Sachin can do the same work in $$9$$ days. If they do the same work together and they are paid Rs. $$2860$$, then what is the share (in Rs.) of Raman?
  • $$1260$$
  • $$700$$
  • $$900$$
  • $$870$$
Consider a pyramid with a square base side of $$6$$ inches and with a height of $$12$$ inches, as shown below. If we cut off the top of the pyramid parallel to the base $$3$$ inches from the tip, what is the volume of the remaining solid?
535460_acd0afec4f304f1295e76f32cbb93f30.png
  • $$141.75$$
  • $$140$$
  • $$135.48$$
  • $$144$$
  • $$130$$
If $$6$$ painters can complete $$9$$ drawing in $$5$$ hours then, what is relation between no. of painters and no. of drawings if no. of hours is constant?
  • Direct
  • Indirect
  • Both
  • None
What was the average number of babies that Dr. Jones delivered each year from 1995 to 1998?
537587.PNG
  • 35
  • 40
  • 45
  • 50
  • 55
Each side of the base of a square pyramid is reduced by $$20%$$. By what percent must the height be increased so that the volume of the new pyramid is the same as the volume of the original pyramid?
  • 20
  • 40
  • 46.875
  • 56.25
  • 71.875
A cistern can be filled by one tap in $$5$$ hours and by another in $$4$$ hours. How long will it take to fill if both the taps are opened simultaneously?
  • $$\dfrac{10}{9}\;hrs$$
  • $$9\;hrs$$
  • $$10\;hrs$$
  • $$\dfrac{20}{9}\;hrs$$
What was the average number of children taking swim lessons from 1990 to 1995?
  • 250
  • 308
  • 385
  • 450
  • 1,850
In how many ways can $$12$$ people be seated around a table?
  • $$11!$$
  • $$12!$$
  • $$\dfrac{12!}{2}$$
  • $$1$$
How many necklaces of $$10$$ beads each can be made from $$20$$ beads of different colors?
  • $$19!$$
  • $$\dfrac{19!}{10!}$$
  • $$\dfrac{19!}{10!^2}$$
  • $$20!$$
How many litres of water flow out of a pipe having an area of cross-section of $$5$$ $${cm}^{2}$$ in one minute, if the speed of water in the pipe is $$30cm/sec$$?
  • $$90$$ litres
  • $$15$$ litres
  • $$9$$ litres
  • $$1.5$$ litres
It 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in :
  • 6 months
  • 4 months
  • 5 months
  • 8 months
Two classrooms A and B having capacity of $$25$$ and $$(n-25)$$ seats respectively. $$A_n$$ denotes the number of possible seating arrangements of room $$'A'$$, when 'n' students are to be seated in these rooms, starting from room $$'A'$$ which is to be filled up to its capacity. If $$A_n-A_{n-1}=25!(^{49}C_{25})$$ then 'n' equals:
  • $$50$$
  • $$48$$
  • $$49$$
  • $$51$$
'Environment Day ($$5$$th June)' falls on Thursday, then on which day 'Children's Day ($$14$$th Nov)' will fall in the same year?
  • Friday
  • Saturday
  • Sunday
  • Monday
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers