# 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) Central Board of Secondary Education (CBSE) 10th Maths 5 Arithmetic Progressions 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 nth 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
Explaination:
a1= 2 × 1 + 1 = 3,
a2 = 2 × 2 + 1 = 5,
a3 = 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
Explaination:
S31 =$$\frac{31}{2}$$ (2a + 30d)
a16 = a + 15d = zw
⇒ S31 = $$\frac{31}{2}$$ × 2(a + 15d)
⇒ S31 = 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
Explaination:
Sn = An + Bn²
S1 = A × 1 +B × 1²
= A + B
∵ S1 = a1
∴ a1 = A + B … (1)
and S2 = A × 2 + B × 2²
⇒ a1 + a2 = 2A + 4B
⇒ (A + B) + a2 = 2A + 4B[Using (i)]
⇒ a2 = A + 3B
∴ d = a2 – a1 = 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

# Ncert Solutions for Class 10 Maths

### Ncert Solutions for Class 10 Maths Chapter 15

MCQ Questions for Class 10 Maths Chapter 15 Probability Sat A
MCQ Questions for Class 10 Maths Chapter 15 Probability Sat B