CBSE Questions for Class 11 Commerce Applied Mathematics Numerical Applications Quiz 10 - MCQExams.com

In how many way can $$12$$ gentlemen sit around a round table so that three specified gentlemen are always together.
  • $$9!$$
  • $$10!$$
  • $$3! 10!$$
  • $$3! 9!$$
The maximum number of intersection points of n circles and n straight lines , among themselves  is 80.The value of n is
  • $$7$$
  • $$6$$
  • $$5$$
  • $$8$$
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B can do the work in _______.
  • $$12$$ days
  • $$15$$ days
  • $$20$$ days
  • $$30$$ days
When $$n!+1$$ is divided by any natural number between $$2$$ and $$n$$ then remainder obtained is
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
If $$\alpha ,\beta , \gamma $$ are three consecutive integers. If these integers are raised to first, second and third positive powers respectively, and added then they form a perfect square, the square root of which is equal to the sum of these integers. Also, $$\alpha < \beta < \gamma $$. Then, $$\gamma$$ is equals to:
  • $$3$$
  • $$14$$
  • $$5$$
  • $$11$$
X was born on March 6,The same year Independence Day was celebrated on Friday.Find out the birthday of X.
  • Thursday
  • Saturday
  • Friday
  • Wednesday
$$150$$ workers were engaged to finish a piece of work in a certain number of days. $$4$$ workers dropped the second day, $$4$$ more workers dropped the third day and so on. It takes eight more days to finish the work now. The number of days in which the work was completed is
  • $$15$$
  • $$20$$
  • $$25$$
  • $$30$$
How many times from 4 pm to 10 pm, the hands of a clock are at right angles?
  • 10
  • 11
  • 9
  • 6
Choose the correct answer from the alternatives given :
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work, by A and B together, is
  • 14
  • 16
  • 18
  • 15
A telephone number $$d_1d_2d_3d_4d_5d_6d_7$$ is called memorable if the prefix sequence $$d_1d_2d_3$$ is exactly the same as either of the sequence $$d_4d_5d_6$$ or $$d_5d_6d_7$$(or possibly both). If each $$d_1\epsilon\{x|0\leq x\leq 9, x\epsilon W\}$$, then number of distinct memorable telephone number is(are).
  • $$19810$$
  • $$19,910$$
  • $$19,990$$
  • $$20,000$$
The number of ways in which $$6$$ rings can be worn on the four fingers of one hand is
  • $$4^{6}$$
  • $$^{6}C_{4}$$
  • $$6^{4}$$
  • None of these
A supplies $$20$$ men who work for $$8$$ hrs. a day working for $$6$$ days. $$B$$ supplies $$15$$ men working at $$9$$ hrs. a day for $$7$$ days and $$C$$ supplies $$10$$ men working $$6$$ hrs. a day for $$8$$ days to do a certain job. If Rs. $$636$$ is paid for all labour, what is $$C's$$ share?
  • $$130$$
  • $$125$$
  • $$128$$
  • $$135$$
A completes half as much work as B and C completes half as much work as A and B together, in the same time. If C alone can completes the work in 40 days, all of them can together finish the work in
  • 13 $$\dfrac{1}{3}$$ days
  • 14 $$\dfrac{1}{3}$$ days
  • 20 days
  • 30 days
A tank $$15$$ m long, $$10$$ m wide and $$6$$ m deep open at the top. If the width of the sheet is $$2$$ m, then cost of iron sheet at the rate of Rs. $$5$$ per meter is
  • Rs. $$550$$
  • Rs. $$1050$$
  • Rs. $$1125$$
  • Rs. $$1150$$
Choose the correct answer from the alternatives given.
A contractor took a contract for building $$12$$ kilometre road in $$15$$ days and employed $$100$$ labours on the work. After $$9$$ days he found that only $$5$$ kilometre road had been constructed. How many more labours should be employed to ensure that the work may be completed with in the given time?
  • $$120$$
  • $$90$$
  • $$110$$
  • $$100$$
If m men can do a job in d days, then m + r men can do the job in:
  • d + r days
  • d - r days
  • $$\frac{md}{m + r}$$ days
  • $$\frac{d}{m+r}$$ days
If $$20$$ men working $$8$$ hours per day can complete a piece of work in $$21$$ days. How many hours per day must $$48$$ men work to complete the same job in $$7$$ days
  • $$12$$
  • $$20$$
  • $$10$$
  • $$15$$

Khilona earned scores of $$97$$, $$73$$ and $$88$$ respectively in her first three examinations. If she scored $$80$$ in the fourth examination, then her average score will be
  • increased by $$1$$
  • increased by $$1.5$$
  • decreased by $$1$$
  • decreased by $$1.5$$
If $$\dfrac { ^{ n }{ P }_{ r-1 } }{ a } =\dfrac { ^{ n }{ P }_{ r } }{ b } =\dfrac { ^{ n }{ P }_{ r+1 } }{ c } $$, then which of the following holds good:
  • $$c^{2}=a(b+c)$$
  • $$a^{2}=c(a+b)$$
  • $$b^{2}=c(a-b)$$
  • $$\dfrac {1}{a}+\dfrac {1}{b}+\dfrac {1}{c}=1$$
Garlands are formed using 6 red roses and 6 yellow roses of different sizes. The number of arrangements in garland which have red roses and yellow roses come alternately is
  • $$5!\times 6!$$
  • $$6! \times 6!$$
  • $$\dfrac{5!}{2!}\times 6!$$
  • $$2(6!\times 6!)$$
Working 4 hours daily, Swati can embroid 5 sarees in 18 days. How many days will it take for her to embroid 10 sarees working 6 hours daily 
  • 24 days
  • 6 days
  • 12 days
  • 20 days
Number of ways in which $$7$$ green bottles and $$8$$ blue bottles can be arranged in a row if exactly $$1$$ pair of green bottles is side by side is (Assume all bottles to be a like except for the colour).
  • $$84$$
  • $$360$$
  • $$504$$
  • None of the above
Number of five-digit numbers divisible by 5 that can be formed from the digits $$0,1, 2, 3, 4, 5$$ without repetition of digits are
  • $$240$$
  • $$360$$
  • $$148$$
  • $$216$$
Let $$5 < n_1 < n_2 < n_3 < n_4$$ be integers such that $$n_1+n_2+n_3+n_4=35$$. The number of such distinct arrangements $$(n_1, n_2, n_3, n_4)$$.
  • $$^{38}C_3$$
  • $$^8C_3$$
  • $$5$$
  • $$6$$
$$10$$ Men begin to work together on a job, but after some days, $$4$$ if them left the job. As a result the job which could have  been completed in $$40$$ days is completed in $$50$$ days. How many days after the commencement of the work did the $$4$$ men level?
  • $$25$$
  • $$30$$
  • $$10$$
  • $$15$$
The number of permutation of the letters of the word $$HINDUSTAN$$ such that neither the pattern $$'HIN'$$ nor $$'DUS'$$ nor $$'TAN'$$ appears, are :
  • $$166674$$
  • $$169194$$
  • $$166680$$
  • $$181434$$
A train of 320 m cross a platform in 24 seconds at the speed of 120 km/h. while a man cross same platform in 4 minute.What is the speed of man in m/s?.
  • $$2.4$$
  • $$1.5$$
  • $$1.6$$
  • $$2.0$$
Let the eleven letters, $$A, B, ....K$$ denote an artbitrary permutation of the integers $$(1,2,....11)$$, then $$(A-1)(B-2)(C-3)...(K-11)$$ is
  • Necessarily zero
  • Always odd
  • Always evem
  • None of these
A,  B, and C together can finish a place of work in 12 days. A and C together work twice as much as B, A and B together work thrice as much as C. In what time ( day ) could each do it separately
  • 144/5, 36, 48
  • 36, 48, 144/5
  • 48, 144/5, 36
  • none of these
Pipe A can fill a tank in $$10h$$ and pipe $$B$$ can fill the same tank in $$12h$$. Both the pipes are opened to fill the tank and after $$3h$$ pipe $$A$$ is closed. Pipe $$B$$ will fill the remaining part of the tank in
  • $$5h$$
  • $$4h$$
  • $$5h$$ $$24min$$
  • $$3h$$
$$24$$ men working at $$8$$ hours per day can do a piece of work in $$15$$ days. In how many days can $$20$$ men working at $$9$$ hours per day do the same work?
  • $$14$$ days
  • $$16$$ days
  • $$13$$ days
  • $$17$$ days
A carpenter was hired to build 192 window frames. The first day he made five frames and each day, thereafter he made two more frames than he made the day before.How many days did it take him to finish the job?.
  • $$11$$
  • $$10$$
  • $$12$$
  • $$14$$
If $$(1+x+x^2)^n=\displaystyle\sum^{2n}_{r=0}a_rx^r$$, then $$a_0a_{2r}-a_1a_{2r+1}+a_2a_{2r+2}-....=?$$
  • $$a_r$$
  • $$a_{n-2r}$$
  • $$a_{n+r}$$
  • $$a_{2r}$$
$$150$$ workers were engaged to finish piece of work in a certain number of day. Four workers dropped the second day, four more workers dropped the third day and so on, it take $$8$$ more days to finish the work now. Then the number of days in which the work was completed is
  • $$29$$ days
  • $$24$$ day
  • $$25$$ days
  • None of these
Find the average of the following set of scores $$253,124,255,534,836,375,101,443,760$$
  • $$427$$
  • $$413$$
  • $$141$$
  • $$409$$
$$A$$ can do a piece of work in $$15$$ days. $$B$$ is $$50\%$$ more efficient than $$A$$. $$B$$ can finish it in
  • $$10$$ days
  • $$7 \dfrac { 1 } { 2 }$$ days
  • $$12$$ days
  • $$12 \frac { 1 } { 2 }$$ days
Six people are going to sit in a row on a bench. $$A$$ and $$B$$ are adjacent, $$C$$ does not want to sit adjacent to $$D.E$$ and $$F$$ can sit anywhere. Number of ways in which these six people can be seated is 
  • $$200$$
  • $$144$$
  • $$120$$
  • $$56$$
Working together, pipes $$A$$ and $$B$$ can fill an empty tank in $$10\ hours$$. they worked together for $$4$$ hours and then $$B$$ stopped and $$A$$ continued filling the tank till was full. It took a total of $$13\ hours$$ to fill the tank. How long would it take $$A$$  to fill the empty tank alone?
  • $$13\ hours$$
  • $$15\ hours$$
  • $$17\ hours$$
  • $$18\ hours$$
If $$200$$ students take $$40$$ days to complete the project, how much time will be taken by $$250$$ students?
  • $$31$$ days
  • $$32$$ days
  • $$23$$ days
  • $$21$$ days
Moving along the $$x-$$axis there are two points with $$x=10+6t,x=3+t^{2}$$, the speed with which they are reaching from each other at the time of encounter is ($$x$$ is in $$cm$$ and $$t$$ is in seconds.)
  • $$16\ cm/sec$$
  • $$20\ cm/sec$$
  • $$8\ cm/sec$$
  • $$12\ cm/sec$$
The number of seven letter words that can be formed by using the letters of the word  $$SUCCESS$$  that the two  $$C$$ are together but no two  $$S$$  are together is
  • $$24$$
  • $$18$$
  • $$54$$
  • none of these
4 men and 6 woman get Rs 1600 by doing a piece of work in 5 days. 3 men and 7 woman get Rs 1740 by doing the same work in 6 days. In how many days, 7 men and 6 woman can complete the same work getting Rs  3760?
  • $$6$$ days
  • $$8$$ days
  • $$10$$ days
  • $$12$$ days
Find $$x$$, if $$\dfrac {1}{4!}-\dfrac {1}{x}=\dfrac {1}{5!}$$.
  • $$5$$
  • $$4$$
  • $$30$$
  • $$None$$
$$3$$ men or $$5$$ women can do a work in $$12$$ days. How long will $$6$$ men and $$5$$ women take to finish the work 
  • $$6 \,\,days$$
  • $$5\,\, days$$
  • $$4 \,\,days$$
  • $$3 \,\,days$$
Pipe $$A$$ can fill one fourth of a tank in $$5$$ hours and pipe $$B$$ can empty the full tank in $$30$$ hours.If both pipes are opened simultaneously, then in how many hours will the empty tank be filled.
  • $$10$$
  • $$60$$
  • $$25$$
  • $$45$$
A takes $$5$$ days less than $$B$$ to complete the work. Both complete the work in $$6$$ days. In how many days $$A$$ complete the work?
  • $$10$$
  • $$15$$
  • $$20$$
  • $$30$$
$$A$$ and $$B$$ can complete a task in $$12$$ days. However, $$A$$ had to leave a few days before the task was complete and hence it took $$16$$ days in all to complete task. If $$A$$ alone could complete the work in $$21$$ days, how many days before the work getting over did $$A$$ leave?
  • $$7$$
  • $$9$$
  • $$5$$
  • $$0$$
$$A$$  and  $$B$$  can do a work in  $$10$$  days.  $$B$$  and  $$C$$  can do the same work in  $$15$$  days. $$C$$  and  $$A$$  can complete the same work in  $$20$$  days. In how many days can  $$C$$  alone complete the work ?
  • $$120$$ days
  • $$118$$ days
  • $$115$$ days
  • $$110$$ days
$$39$$ persons can repair a road in $$12$$ days, working $$5$$ hours a day. In how many days will $$30$$ persons, working $$6$$ hours a day, complete the work?
  • $$9$$
  • $$12$$
  • $$13$$
  • $$10$$
The number of ways in which $$9$$ persons can be divided into three equal groups, is
  • $$1680$$
  • $$840$$
  • $$560$$
  • $$280$$
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