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NCERT Class 10 Maths – Chapter 5: Arithmetic Progressions / एनसीईआरटी कक्षा 10 गणित – अध्याय 5: अपरिमेय प्रगति (AP)
20 Bilingual Questions (Exam Pattern + Practice) / 20 द्विभाषी प्रश्न (परीक्षा पैटर्न + अभ्यास)
Q1. In an AP, if \(a = 50\), \(d = 4\) and \(S_n = 0\), find \(n\)
एक AP में \(a = 50\), \(d = 4\) और \(S_n = 0\) है। \(n\) ज्ञात कीजिए।
Q2. Find the sum of the first twelve 2-digit multiples of 7 using AP
7 के दो-अंकीय पहले 12 गुणजों का योग AP से ज्ञात कीजिए।
Q3. Find the 15th term of the AP: 7, 10, 13, …
AP: 7, 10, 13, … का 15वाँ पद ज्ञात कीजिए।
Q4. Find the nth term of the AP: 3, 7, 11, …
AP: 3, 7, 11, … का nवाँ पद ज्ञात कीजिए।
Q5. How many terms of the AP: 5, 9, 13, … are required to get the sum 406?
AP: 5, 9, 13, … में कितने पदों का योग 406 होगा?
Q6. Find the sum of first 20 terms of the AP: 4, 9, 14, …
AP: 4, 9, 14, … के पहले 20 पदों का योग ज्ञात कीजिए।
Q7. If the 7th term of an AP is 22 and the 13th term is 46, find the AP
यदि AP का 7वाँ पद 22 और 13वाँ पद 46 है, तो AP ज्ञात कीजिए।
Q8. Find the sum of all natural numbers between 100 and 500 which are divisible by 9
9 से विभाज्य 100 और 500 के बीच सभी प्राकृतिक संख्याओं का योग ज्ञात कीजिए।
Q9. Find the value of \(k\) if 5, \(k\), 45 are in AP
यदि 5, \(k\), 45 AP में हैं तो \(k\) का मान ज्ञात कीजिए।
Q10. How many terms of the AP: 6, 13, 20, … must be taken so that their sum is 406?
AP: 6, 13, 20, … में कितने पदों का योग 406 होगा?
Q11. Find the 10th term from the end of the AP: 7, 10, 13, …, 97
AP: 7, 10, 13, …, 97 में अंत से 10वाँ पद ज्ञात कीजिए।
Q12. If the sum of first \(n\) terms of an AP is \(3n^2 + 5n\), find its nth term
यदि AP के पहले \(n\) पदों का योग \(3n^2 + 5n\) है, तो उसका nवाँ पद ज्ञात कीजिए।
Q13. Which term of the AP: 3, 8, 13, … is 78?
AP: 3, 8, 13, … का कौन-सा पद 78 है?
Q14. Find the sum of first 15 multiples of 8 using AP
8 के पहले 15 गुणजों का योग AP से ज्ञात कीजिए।
Q15. If the sum of first 10 terms of an AP is 210 and its first term is 6, find the common difference
यदि AP के पहले 10 पदों का योग 210 है और पहला पद 6 है, तो अंतर \(d\) ज्ञात कीजिए।
Q16. Find the AP if its first term is 4 and the 8th term is 32
यदि AP का पहला पद 4 और 8वाँ पद 32 है, तो AP ज्ञात कीजिए।
Q17. How many terms of the AP: 2, 7, 12, … must be taken so that their sum is 406?
AP: 2, 7, 12, … में कितने पदों का योग 406 होगा?
Q18. Find the sum of all multiples of 11 between 100 and 500
100 और 500 के बीच 11 के सभी गुणजों का योग ज्ञात कीजिए।
Q19. If the 3rd term of an AP is 7 and the 10th term is 35, find the AP
यदि AP का 3रा पद 7 और 10वाँ पद 35 है, तो AP ज्ञात कीजिए।
Q20. Find the number of terms in the AP: 12, 17, 22, …, 102
AP: 12, 17, 22, …, 102 में कुल कितने पद हैं?
💡 Important Exam & Study Tips
- Master NCERT Fundamentals: Ensure thorough familiarity with standard textbook definitions, formulas, and in-text examples before solving advanced problems.
- Step-by-Step Presentation: In board examinations, neat presentation, correct formula application, and labeled steps earn maximum step-marking.
- Practice Under Timed Conditions: Regular practice with previous years' question papers (PYQs) builds exam speed and accuracy.
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❓ Frequently Asked Questions (FAQs)
Q1: Are these solutions aligned with the latest rationalized syllabus?
Yes, all study notes and practice questions on StudyMats strictly follow the updated NCERT textbook pattern and CBSE assessment guidelines.
Q2: How can I prepare this chapter for highest marks?
Review the theory thoroughly, solve all textbook exercise questions, and repeatedly practice the high-frequency questions provided in this guide.