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AP Board Class 8 Maths Chapter 15 Playing with Numbers Ex 15.2 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Book Answers

 AP Board Class 8 Maths Chapter 15 Playing with Numbers Ex 15.2 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Book Answers

Andhra Pradesh State Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Books Solutions

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AP Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
If 345 A 7 is divisible by 3,supply the missing digit in place of ‘A’.
Solution:
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
∴ 345A7 ⇒ 3 + 4 + 5 + A + 7 = 19 + A
19 + A = 3 x 7
⇒ A = 21 – 19 = 2 ⇒ A = 24 – 19 = 5

A + 19 = 3 x 8
⇒ A = 24 – 19 = 5

A + 19 = 3 x 9
⇒ A = 27 – 19 = 8

∴ A = {2,5,8}

Question 2.
If 2791 A,is divisible by 9, supply the missing digit in place of ‘A’.
Solution:
If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.
∴ 2791A = 2 + 7 + 9 + 1 + A = 9 x 3
⇒ 19 + A = 9 x 3 = 27
⇒ A = 27 – 19 = 8
∴ A = 8

Question 3.
Write some numbers which are divisible by 2,3,5,9 and 10 also.
Solution:
90, 180, 270. are divisible by 2, 3, 5, 9 and 10.
[∵ The L.C.M. of 2, 3, 5, 9, 10 is 90]

Question 4.
2A8 is a number divisible by 2, what might be the value of A’?
Solution:
If the units digit of a number be 0, 2, 4, 6, 8 then it is divisible by 2.
∴ 2A8 is divisible by 2 for any value of A.
∴ A = (0, 1, 2 ………………….9)

Question 5.
50B is a number divisible by 5, what might be the value of B?
Solution:
Given number is 50B.
The units digit of a number ¡s either ‘0’ or 5, then it is divisible by 5.
∴ 500 → 05 (R = 0)
505 → 55 (R = 0)
∴ B = {0, 5}

Question 6.
2P is a number which is divisible by 2 and 3, what is the value of P
Solution:
The given number is 2P.
If 2P is divisible by 2, 3 then 2P should be a multiple of 6. [ ∵ L.C.M. of 2, 3 is 6]
∴ 2P = 24, 30 ………….
24 → 2 + 4 → 63 (R = 0)
∴ P = 4

Question 7.
54Z leaves remainder 2 when divided by 5 , and leaves remainder 1 when divided by 3, what is the value of Z’?
Solution:
If 54Z is divisible by 3 then the sum of the digits of the number is divisible by 3.
According to problem 54Z is divisible by 3 and leaves remainder 1’.
∴ 5 + 4 + Z = (3 x 4) + 1
= 9 + Z = 13
∴ Z = 4(or)
9 + Z = (3 x 5) + 1
9 + Z = 16
Z = 7
If 54Z is divisible by 5 then Z should be equal to either ‘0’ or ‘5’.
∴ 54(0 + 2) = 542 (Z = 2)
54(0 + 7) = 547 (Z = 7)
∴ From the above two cases
Z = 7
∵ 547 → 75(R = 2)

Question 8.
27Q leaves remainder 3 when divided by 5 and leaves remainder 1 when divided by 2, what is the remainder when it is divided by 3?
Solution:
27Q is divided by 5 gives the remainder 3
Le.,27Q = 27 (0 + 3) = 273(Z = 3)(T)
= 27 (0 + 8) = 278 (Z = 8)
27Q is divided by 2 gives the remainder 1.
i.e., 27Q = 27(0 + 1) = 271 (Z = 1)
27Q = 27 (0 + 3) = 273 (Z = 3) (T)
∴ From above situations Z = 3
∴ 27Q = 273→ 2 + 7 + 3 → 123(R = 0)
∴ 273 is divisible by 3 and gives the remainder 0’.

Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 exam preparation. The AP Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 15 Playing with Numbers Ex 15.2 Books State Board syllabus with maximum efficiency.

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Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

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