Understanding the key concepts of Class 10 Maths Chapter 5 – Arithmetic Progressions is crucial for exam success. To make your revision easier, we have created chapterwise mcq questions with Answers for class 10 Maths based on the latest syllabus and exam pattern. It is a part of MCQ Questions for CBSE Class 10 Maths Series.
These multiple-choice questions will help you assess your knowledge, improve accuracy, and boost confidence for your exams. Whether you are preparing for school tests, online tests or competitive exams, these Arithmetic Progressions MCQs will strengthen your conceptual clarity.
| Chapter | Arithmetic Progressions |
| Book | Maths Textbook for Class 10 |
| Type of Questions | MCQ Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 10 |
| Subject | Maths |
| Useful for | Class 10 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 10 Maths Chapterwise MCQ Questions |
MCQ Questions on Arithmetic Progressions Class 10 Maths (PDF Download)
MCQs
Q1. If the nth term of an AP is given by an = 5n – 2, what will be the common difference of the AP?
(a) 3
(b) 5
(c) 2
(d) –2
Show Answer
Answer: (b)
Explanation: The general form an = a + (n–1)d matches 5n – 2 ⇒ d = coefficient of n = 5.
Q2. Which term of the AP: 7, 10, 13, 16, … is 55?
(a) 15th
(b) 17th
(c) 18th
(d) 20th
Show Answer
Answer: (c)
Explanation: a = 7, d = 3 ⇒ 7 + (n–1)×3 = 55 ⇒ 3(n–1) = 48 ⇒ n = 17 ⇒ 17th term is 55.
Q3. If the sum of the first n terms of an AP is 3n² + 2n, then what is its nth term?
(a) 3n + 2
(b) 6n + 2
(c) 6n – 1
(d) None of these
Show Answer
Answer: (c)
Explanation: an = Sn – Sn–1 = (3n² + 2n) – [3(n–1)² + 2(n–1)] = 6n – 1.
Q4. What is the 20th term from the last term of the AP: 3, 7, 11, …, 407?
(a) 327
(b) 87
(c) 127
(d) 47
Show Answer
Answer: (a)
Explanation: AP has a = 3, d = 4, l = 407 ⇒ n = (407–3)/4 + 1 = 102 ⇒ 20th from last = a(83) = 3 + 82×4 = 327
Q5. How many two-digit numbers are divisible by 7?
(a) 13
(b) 15
(c) 12
(d) 10
Show Answer
Answer: (b)
Explanation: Two-digit numbers divisible by 7: 14 to 98 ⇒ a = 14, d = 7 ⇒ (98 – 14)/7 + 1 = 13.
Q6. What is the sum of the first 25 odd natural numbers?
(a) 625
(b) 6250
(c) 250
(d) 575
Show Answer
Answer: (a)
Explanation: First odd numbers form AP: a = 1, d = 2 ⇒ Sₙ = n² ⇒ 25² = 625
Q7. If a = 2, d = 3, what is the sum of first 100 terms of the AP?
(a) 15450
(b) 15150
(c) 15250
(d) 15350
Show Answer
Answer: (b)
Explanation: S = n/2 × [2a + (n–1)d] = 100/2 × [4 + 99×3] = 50×301 = 15050
Q8. In an AP, the 4th term is 12 and 8th term is 24. What is the common difference?
(a) 2
(b) 3
(c) 4
(d) 5
Show Answer
Answer: (b)
Explanation: a + 3d = 12, a + 7d = 24 ⇒ Subtract ⇒ 4d = 12 ⇒ d = 3
Q9. The 15th term of an AP is zero. If the first term is 7, what is the common difference?
(a) –0.5
(b) –1
(c) –1.5
(d) –2
Show Answer
Answer: (d)
Explanation: a = 7, an = 0 = 7 + 14d ⇒ d = –0.5
Q10. What is the sum of all 3-digit numbers divisible by 4?
(a) 112304
(b) 112800
(c) 112396
(d) 112244
Show Answer
Answer: (c)
Explanation: 3-digit numbers divisible by 4: 100 to 996 ⇒ a = 100, d = 4, l = 996 ⇒ n = (996–100)/4 + 1 = 225 ⇒ S = n/2(a + l) = 225/2 × (1096) = 112396
Q11. If the 5th term of an AP is 20 and the 9th term is 36, what is the first term?
(a) 4
(b) 6
(c) 8
(d) 10
Show Answer
Answer: (b)
Explanation: a + 4d = 20, a + 8d = 36 ⇒ Subtract: 4d = 16 ⇒ d = 4 ⇒ a = 20 – 16 = 4
Q12. In an AP, the sum of the first n terms is 2n² + 3n. What is the 10th term?
(a) 43
(b) 44
(c) 41
(d) 42
Show Answer
Answer: (a)
Explanation: an = Sn – S(n–1) = 2n² + 3n – [2(n–1)² + 3(n–1)] ⇒ a₁₀ = 2(100) + 30 – 2(81) – 27 = 43
Q13. Find the 18th term from the end of the AP: 5, 10, 15, …, 200
(a) 115
(b) 110
(c) 105
(d) 100
Show Answer
Answer: (c)
Explanation: n = (200–5)/5 + 1 = 40 ⇒ 18th from last = a(40–17) = a(23) = 5 + 22×5 = 115
Q14. Which term of the AP: 20, 18, 16, … is 0?
(a) 10
(b) 11
(c) 12
(d) None
Show Answer
Answer: (b)
Explanation: 20 + (n–1)(–2) = 0 ⇒ –2(n–1) = –20 ⇒ n = 11
Q15. If the 3rd and 7th terms of an AP are 12 and 24, then the sum of the first 10 terms is:
(a) 180
(b) 190
(c) 200
(d) 210
Show Answer
Answer: (a)
Explanation: a + 2d = 12, a + 6d = 24 ⇒ d = 3, a = 6 ⇒ S₁₀ = 10/2[2×6 + 9×3] = 5×36 = 180
Q16. How many terms of the AP: 8, 11, 14, … are needed to sum to 212?
(a) 10
(b) 11
(c) 12
(d) 13
Show Answer
Answer: (c)
Explanation: S = n/2[2a + (n–1)d] ⇒ 212 = n/2[16 + (n–1)×3] ⇒ quadratic in n ⇒ n = 12
Q17. If the sum of the first n terms of an AP is Sn = n(3n + 1)/2, what is the 5th term?
(a) 34
(b) 39
(c) 35
(d) 36
Show Answer
Answer: (c)
Explanation: a₅ = S₅ – S₄ = [5(16)/2] – [4(13)/2] = 40 – 26 = 14
Q18. Which of the following represents an AP?
(a) 2, 4, 8, 16
(b) 5, 10, 15, 20
(c) 1, 2, 4, 7
(d) 1, 3, 6, 10
Show Answer
Answer: (b)
Explanation: Only option (b) has a constant difference of 5.
Q19. The 6th term of an AP is 12 and 10th term is 20. What is the 15th term?
(a) 30
(b) 32
(c) 36
(d) 34
Show Answer
Answer: (d)
Explanation: a + 5d = 12, a + 9d = 20 ⇒ d = 2, a = 2 ⇒ a₁₅ = 2 + 14×2 = 30
Q20. In an AP, if a = 2 and the 8th term is 30, find the common difference.
(a) 4
(b) 5
(c) 6
(d) 7
Show Answer
Answer: (c)
Explanation: a + 7d = 30 ⇒ 2 + 7d = 30 ⇒ d = 4
We hope the given mcq questions with Answers for Arithmetic Progressions Class 10 helps you in your learning.
Also check
- Arithmetic Progressions – Class 10 Maths Chapter 5 MCQ Questions with Answers (Updated)
- Quadratic Equations – Class 10 Maths Chapter 4 MCQ Questions with Answers (Updated)
- Pair of Linear Equations in Two Variables – Class 10 Maths Chapter 3 MCQ Questions with Answers (Updated)
- Polynomials – Class 10 Maths Chapter 2 MCQ Questions with Answers (Updated)
- Real Numbers – Class 10 Maths Chapter 1 MCQ Questions with Answers (Updated)
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Topics from which mcq questions may be asked
- AP terms
- nth term
- Sum of n terms
Arithmetic progressions help recognize patterns and sequences in everyday life.
Frequently Asked Questions (FAQs) on Arithmetic Progressions MCQ Questions
Q1: Why should I practice Class 10 Maths Chapter 5 MCQs?
A1: Practicing MCQs helps in quick revision, improves problem-solving speed, and enhances conceptual understanding of important topics in Class 6 Maths.
Q2: Are these Class 10 Maths MCQs based on the latest syllabus?
A2: Yes, all the MCQs are designed as per the latest CBSE syllabus and exam pattern to help students prepare effectively.
Q3: Where can I find more MCQs for Class 10 Maths?
A3: You can find more chapter-wise MCQs on our website. These are designed to cover important concepts and prepare you for exams.
Q4: Are the answers provided for all MCQs?
A4: Yes, each MCQ is accompanied by the correct answer and explanations to help students understand and learn better.
Q5: How can I improve my performance in Class 10 Maths MCQs?
A5: To improve your performance, practice regularly, revise key concepts, and take mock tests to assess your knowledge.
Q6: Do these MCQs help in school exams?
A6: Yes, these MCQs are aligned with school exam patterns and help in scoring well by strengthening conceptual clarity.
Q7: Can I download these MCQs for offline practice?
A7: Yes, you can download or print these MCQs for convenient offline practice.
Q8: Q6: Are there any resources available online for students to practice mcq questions on class 10 maths chapter 5 “Arithmetic Progressions“ for CBSE exams?
A6: Yes, several educational websites offer mcq questions for CBSE students preparing for maths examinations. We also offer a collection of mcq questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. for more mcq, you can also visit Physics Gurukul Website.
