CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 11 - MCQExams.com

If $$S=18+17\cfrac{1}{3}+16\cfrac{2}{3}+.......=242$$, then the number of terms are:
  • $$22$$
  • $$33$$
  • Both $$22$$ and $$33$$
  • none of these
How many terms of the series $$54, 51, 48,......$$ be taken so that their sum is $$513$$?
  • $$18$$
  • $$19$$
  • $$20$$
  • $$A$$ and $$B$$
Which term of the A.P $$\ 3, 10, 17, .......$$ will be $$84$$ more than its $$13^{th}$$ term?
  • $$23^{rd}$$
  • $$25^{th}$$
  • $$27^{th}$$
  • $$28^{th}$$
If $$3x, 5x+1$$ and $$8x-1$$ are in$$A.P$$, then the value of $$x$$ is
  • $$2$$
  • $$-3$$
  • $$-4$$
  • $$3$$
Find the sum of all three-digit numbers which leave a remainder $$2$$, when divided by $$6$$.
  • $$82656$$
  • $$82658$$
  • $$82650$$
  • $$82654$$
Find the sum of the series up to $$90$$ terms:
$$1+2+3+3+4+6+5+6+9+ $$ ....
  • $$1613$$
  • $$3225$$
  • $$6450$$
  • $$9675$$
If the third and $$11^{th}$$ term of an A.P are $$8$$ and $$20$$ respectively, find the sum of first ten terms.
  • $$\displaystyle 105\frac{1}{2}$$
  • $$108$$
  • $$\displaystyle 117\frac{1}{2}$$
  • $$\displaystyle 203\frac{1}{2}$$
Which of the following list of numbers does form an $$A.P$$? 
  • $$2,4,8, 16$$, ....
  • $$2,\dfrac {5}{2},3,\dfrac {7}{2}$$, ...
  • $$0.2, 0.22, 0.222, 0.2222$$, ...
  • $$1,3,9,27$$, ...
Find the sum of first $$31$$ term term of an A.P whose $$n^{th}$$ term is $$\displaystyle \left ( 3+\frac{2n}{3} \right )$$.
  • $$\displaystyle 423\frac{2}{3}$$
  • $$\displaystyle 413\frac{1}{3}$$
  • $$\displaystyle 417\frac{2}{3}$$
  • $$\displaystyle 419\frac{2}{3}$$
$$1+3+5+\cdots\cdots+99=$$
  • $$(99)^2$$
  • $$(49)^2$$
  • $$(50)^2$$
  • $$(100)^2$$
A man saved Rs. $$320$$ during the first month Rs. $$360$$ in the second month Rs. $$400$$ in the third month, if he continues his saving in this sequence in how many months will be save Rs. $$20,000$$?
  • $$28$$
  • $$25$$
  • $$22$$
  • $$20$$
Find the number of terms in an arithmetic progression for which the first term is $$4$$, last term is $$22$$ and the common difference is $$\displaystyle\dfrac{1}{4}$$
  • $$70$$
  • $$71$$
  • $$72$$
  • $$73$$
If the seventh term of an AP is 25 and the common difference is 4, then find the 15th term of AP.
  • 55
  • 50
  • 57
  • 52
If $$8$$ times the $$8th$$ term of an arithmetic progression is equal to $$12$$ times the $$12th$$ term, then the $$20th$$ term is
  • $$12$$ times to $$8th$$ term
  • $$8$$ times to $$12th$$ term
  • $$0$$
  • Cannot be determined
What is the common difference of an AP whose n$$^{th}$$ term is $$xn+y$$?
  • $$x+y$$
  • $$y$$
  • $$x$$
  • $$-x$$
Find the common difference of an AP
  • 2
  • 3
  • 1
  • 4
Which of the following does not belong to the series 8, 11, 14, 17,20 $$\dots\dots$$?
  • 120
  • 131
  • 144
  • 150
The first term and last term number is $$12$$ and $$30$$. The total number of term is $$50$$. Find its sum.
  • $$1,100$$
  • $$1,250$$
  • $$1,150$$
  • $$1,050$$
Find the sum of first  20 terms of the sequence whose nth term is $$2n+3n$$
  • 1050
  • 645
  • 1100
  • 1000
Find the sums given below:
$$-5+(-8)+(-11)+......+(-230)$$
  • $$-8930$$
  • $$8769$$
  • $$6778$$
  • $$6667$$
The sum of the three numbers in A.P is $$21$$ and the product of the first and third number of the sequence is $$45$$. What are the three numbers?
  • $$3, 7,$$ and $$11$$
  • $$9, 7,$$ and $$5$$
  • $$3, 9,$$ and $$15$$
  • Both $$A$$ and $$B$$
  • None of these
Find the sum of the AP: $$2,5,8,11,\dots$$ to first $$11$$ terms.
  • $$187$$
  • $$178$$
  • $$192$$
  • $$171$$
The sum of the third and ninth terms of an A.P is $$8$$. Find the sum of the first $$11$$ terms of the progression.
  • $$44$$
  • $$22$$
  • $$19$$
  • $$18$$
  • None of these
What is the sum of all positive integers up to $$1000$$, which are divisible by $$5$$ and are not divisible by $$2$$?
  • $$10,050$$
  • $$5050$$
  • $$5000$$
  • $$50,000$$
If the $$5th$$ and $$8th$$ term of an AP are $$6$$ and $$15$$ respectively, find the $$19th$$ term
  • $$48$$
  • $$54$$
  • $$19$$
  • $$57$$
The $$17$$th term of an AP exceeds its $$10$$th term by $$7$$. Find the common difference
  • $$\dfrac{3}{7}$$
  • $$\dfrac{-3}{7}$$
  • $$\dfrac{7}{3}$$
  • $$\dfrac{-7}{3}$$
Subba Rao started work in $$1995$$ at an annual salary of Rs. $$5000$$ and received an increment of Rs. $$200$$ each year. In which year did his income reached Rs. $$7000$$?
  • $$2005$$
  • $$2002$$
  • $$2004$$
  • $$2007$$
Find the sum of first 10 terms of the arithmetic sequence $$1, 3, 5, 7, ...........$$
  • 90
  • 95
  • 96
  • 100
Find the sum of first 10 terms of the arithmetic series if $$a_1 = 2$$ and $$a_{10} = 22$$.
  • $$155$$
  • $$120$$
  • $$165$$
  • $$130$$
What is the sum of first 20 multiples of 2?
  • $$225$$
  • $$420$$
  • $$210$$
  • $$217$$
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