# 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 (Samantar Shreni) PDF format in Hindi Medium and English Medium updated for new session 2020-2021 free to use.

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

 Class: 10 Maths (English and Hindi Medium) Chapter 5: Exercise 5.4

• ### Class 10 Maths Exercise 5.4 Solutions

#### Class 10 Maths Chapter 5 Exercise 5.4 Solution in Videos

Class 10 Maths Exercise 5.4 Explanation Video
Class 10 Maths Chapter 5 Exercise 5.4 Solution

#### Important Extra Questions with Answers

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]

##### Questions for Practice in AP

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]      