MCQ Questions  Class 10 Maths Chapter 5  Arithmetic Progressions with Answers
MCQ  Arithmetic Progressions Class 10  Sat C
Check the below NCERT MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Arithmetic Progressions Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
Objective Question  NCERT Maths Class 10
Book:  National Council of Educational Research and Training (NCERT) 

Board:  Central Board of Secondary Education (CBSE) 
Class:  10th 
Subject:  Maths 
Chapter:  5 
Chapters Name:  Arithmetic Progressions 
Medium:  English 
Ncert Solutions for Class 10 Maths  Objective Type Questions
You can refer to NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
Arithmetic Progressions  Class 10 Maths  NCERT Solutions
Q1.  If the n^{th} term of an AP is (2n +1), then the sum of its first three terms is 
A. 6n + 3 

B. 15 

C. 12 

D. 21 
Ans: 15
a_{2} = 2 × 2 + 1 = 5,
a_{3} = 2 × 3 + l= 7
∴ Sum = 3 + 5 + 7 = 15
Explaination:
a_{1}= 2 × 1 + 1 = 3,a_{2} = 2 × 2 + 1 = 5,
a_{3} = 2 × 3 + l= 7
∴ Sum = 3 + 5 + 7 = 15
Q2.  An AP consists of 31 terms. If its 16th term is m, then sum of all the terms of this AP is 
A. 16 m 

B. 47 m 

C. 31 m 

D. 52 m 
Ans: 31 m
a_{16} = a + 15d = zw
⇒ S_{31} = \(\frac{31}{2}\) × 2(a + 15d)
⇒ S_{31} = 31m
Explaination:
S_{31} =\(\frac{31}{2}\) (2a + 30d)a_{16} = a + 15d = zw
⇒ S_{31} = \(\frac{31}{2}\) × 2(a + 15d)
⇒ S_{31} = 31m
Q3.  If the sum of first n terms of an AP is An + Bn² where A and B are constants, the common difference of AP will be 
A. A + B 

B. A – B 

C. 2A 

D. 2B 
Ans: 2B
S_{1} = A × 1 +B × 1²
= A + B
∵ S_{1} = a_{1}
∴ a_{1} = A + B … (1)
and S_{2} = A × 2 + B × 2²
⇒ a_{1} + a_{2} = 2A + 4B
⇒ (A + B) + a_{2} = 2A + 4B[Using (i)]
⇒ a_{2} = A + 3B
∴ d = a_{2} – a_{1} = 2B
Explaination:
S_{n} = An + Bn²S_{1} = A × 1 +B × 1²
= A + B
∵ S_{1} = a_{1}
∴ a_{1} = A + B … (1)
and S_{2} = A × 2 + B × 2²
⇒ a_{1} + a_{2} = 2A + 4B
⇒ (A + B) + a_{2} = 2A + 4B[Using (i)]
⇒ a_{2} = A + 3B
∴ d = a_{2} – a_{1} = 2B
Q4.  How many terms are there in 20, 25, 30......... 140 
A. 22 

B. 25 

C. 23 

D. 24 
Ans: 25
Q5.  For an A.P the sum of first 30 terms is 1155,the common difference is 3and the thirtieth term is 82. What is the first term? 
A. 10 

B. 8 

C. 5 

D. 12 
Ans: 5
Q6.  Find the next two terms of the A.P.: 10, 6,2… 
A. 4,8 

B. 4,8 

C. 2,6 

D. 6,10 
Ans: 2,6
Q7.  The common difference of the A.P for which 20th term is 10 more than the 18th term is : 
A. 2 

B. 3 

C. 5 

D. 10 
Ans: 5
Q8.  How many terms of AP 54, 51, 48… are required to give a sum of 513? 
A. 21 or 25 

B. 22 or 23 

C. 23 or 24 

D. 18 or 19 
Ans: 18 or 19
Q9.  If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is 
A. 13 

B. 9 

C. 21 

D. 17 
Ans: 21
Q10.  The number of terms common to the two A.P. s 2 + 5 + 8 + 11 + ...+ 98 and 3 + 8 + 13 + 18 +...+198 
A. 33 

B. 40 

C. 7 

D. None of these 
Ans: 7
Q11.  If p, q, r and s are in A.P. then r – q is 
A. s – p 

B. s – q 

C. s – r 

D. none of these 
Ans: s – r
CBSE Solutions  Ncert Solutions Maths Class 10
NCERT Solutions  10th Maths Guide
NCERT  Class 10 Maths Solution
Ncert Solutions for Class 10 Maths
Ncert Solutions for Class 10 Maths Chapter 1

MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat A
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat B
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat C
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat D
Ncert Solutions for Class 10 Maths Chapter 2

MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat A
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat B
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat C
Ncert Solutions for Class 10 Maths Chapter 3

MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat A
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat B
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat C
Ncert Solutions for Class 10 Maths Chapter 4

MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat A
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat B
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat C
Ncert Solutions for Class 10 Maths Chapter 5

MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat A
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat B
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat C
Ncert Solutions for Class 10 Maths Chapter 6

MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat A
MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat B
Ncert Solutions for Class 10 Maths Chapter 7

MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat A
MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat B
Ncert Solutions for Class 10 Maths Chapter 8

MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat B
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat C
Ncert Solutions for Class 10 Maths Chapter 9

MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat B
Ncert Solutions for Class 10 Maths Chapter 10

MCQ Questions for Class 10 Maths Chapter 10 Circles Sat A
MCQ Questions for Class 10 Maths Chapter 10 Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 11

MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat A
MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat B
Ncert Solutions for Class 10 Maths Chapter 12

MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat A
MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 13

MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat A
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat B
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat C
Ncert Solutions for Class 10 Maths Chapter 14

MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat A
MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat B
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