# NCERT Solutions for Class 10 Maths Chapter 5 Exercise 5.4

NCERT Solutions for class 10 Maths Chapter 5 Exercise 5.4 Optional Exercises Arithmetic Progressions ( समांतर श्रेढ़ी ) PDF in Hindi Medium and English Medium or View in Video Format for new session CBSE, MP Board & UP Board students following CBSE Syllabus 2019-20. Download NCERT Apps and Solutions for offline use.

 Class 10: Maths – गणित Chapter 5: Arithmetic Progression (AP) Exercise 5.4

## NCERT Solutions for class 10 Maths Chapter 5 Exercise 5.4

### Class 10 Maths Chapter 5 Optional Exercise 5.4 Solutions in English

NCERT Solutions for class 10 Maths Chapter 5 Optional Exercise 5.4 AP – Arithmetic Progressions online to use or View in Video Format. Click here to move Class 10 Maths Chapter 5 for other exercises whether download or online study. CLICK HERE for Hindi Medium Solutions.   ### Class 10 Maths Chapter 5 Optional Exercise 5.4 Solutions in Hindi   ### 10 Maths Chapter 5 Exercise 5.4 Sols in Video

NCERT Solutions for class 10 Maths Exercise 5.4 in video format with complete description.

#### Important Extra Questions with Answers for Practice in AP

1. The sum of first q terms of an A.P. is 63q – 3q². If pth term is –60, find the value of p. Also find the 11th term of this A.P. [Answer: p = 21, a11 = 0]
2. In an A.P. the first term is –2, the last term is –29 and sum of all terms is –155. Find the 11th term of this A.P. [Answer: – 32]
3. The sum of first 20 terms of an A.P. is one third of the sum of next 20 term. If first term is 1, find the sum of first 30 terms of this A.P. [Answer: 900]
4. The sum of first 10 terms of an A.P. is one third of the sum of next 10 terms. If first term is –5, find the sum of its first 30 terms. [Answer: – 4500]
5. The eighth term of an A.P. is half the second term and the eleventh term exceeds one -third of its fourth term by 1. Find its 15th term. [Answer: 3]

###### Try These
1. The sum of first six terms of an A.P. is 42. The ratio of its 10th term to its 30th term is 1:3 calculate the first and thirteenth term of the A.P. [Answer: a = 2]
2. An old lady Krishna Devi deposited ₹120000 in a bank at 8% interest p.a. She uses the annual interest to give five scholarships to the students of a school for their overall performances each year. The amount of each Scholarship is ₹300 less than the preceding scholarship. Find the amount of each scholarship. [Answer: ₹2520, ₹2220, ₹1920, ₹1620, ₹1320]
3. Ram asks the labour to dig a well upto a depth of 10 metre. Labour charges are ₹150 for first metre and ₹50 for each subsequent metre. As labour was uneducated, he claims ₹550 for the whole work. What should be the actual amount to be paid to the labour? What value of Ram is depicted in the question if he pays ₹600 to the labourer? [Answer: ₹600]