# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## AP Board Class 8 Maths Chapter 15 Playing with Numbers Ex 15.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Book Answers

 AP Board Class 8 Maths Chapter 15 Playing with Numbers Ex 15.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Book Answers

## Andhra Pradesh State Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Books Solutions

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## AP Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Find the missing digits in the following additions.

Solution:
a) 1 + A + 7 = 17 ⇒ A = 17 – 8 = 9
∴ A = 9

b) 2 + 8 + B = 15 ⇒ B = 15 – 10 = 5
2 + 1 + B = 8 ⇒ B = 8 – 3 = 5
∴ B = 5

c) A + 7 + A=13 ⇒ 2A = 6 ⇒ A = 3 A + A + 1 = 7 2A = 6 ⇒ A = 3
∴ A = 3

d) From 1st column
2 + 9 + 9 + A = 26
A = 26 – 20 = 6
From 2nd column
⇒ 2 + 1 + A = 9 ⇒ A = 9 – 3 = 6
∴ A = 6

e) B + 6 + A = 11 or 21
B + A + (1 or 2) = 6
A + 1 = 4 ⇒ A = 3
⇒ From (1), B + 6 + 3 = 11 ⇒ B = 2
∴ A = 3, B = 2

Question 2.
Find the value of A in the following
(a) 7A – 16 = A9 (b) 107 – A9 = lA (e) A36 – 1A4 = 742
Solution:

a) 7A – 16 = A9
A- 6 = 9
If A = 5 it is possible.
∴ A = 5 (or)
7A- 16 = A9
⇒ 7 x 10 + (1 x A) – 16 = (A x 10 + 9 x 1)
⇒ 70 + A – 16 = 10A + 9
⇒ 9A = 45
⇒ A = 5

b) 107 – A9 = 1A
⇒ 107 – (10 x A + 9 x 1) = (1 x 10 + A x 1)
⇒ 107-10A-9= 10 +A
⇒ 11A = 88 A = 8

c) A36 – 1A4 = 742
⇒ (100 x A + 3 x 10 + 6 x 1) – (1 x 100 + A x 10 + 4 x 1) = 742
⇒ 100A + 36 – 100 – 10A – 4 = 742
⇒ 90A = 810
⇒ A = 81090
∴ A = 9

Question 3.
Find the numerical value of the letters given below-

Solution:
a) If E x 3 = E then E should be equal to 0 (or) 5.
5 x 3 = 15, 0 x 3 = 0
3 x D + 0 = ID [If E = 0]
⇒ 3D = 10 + D
⇒ 2D = 10
⇒ D = 5

∴ F = 1, D = 5, E = 0

b) If H x 6 = H then H should be equal to 0, 2, 6, 8.
G6 = 1G [If H = 0]
⇒ 6G + 0 = 10 + G
⇒ 5G = 10
⇒ G = 10/5 = 2

C = 1, G = 2, H = 0

Question 4.
Replace the letters with appropriate digits
(a) 73K ÷ 8 = 9L
(b) 1MN ÷ 3 = MN
Solution:
a) 73K ÷ 8 = 9L
73 K8 = 9L
If 73K is divisible by 8 then K = {1, 2, 3, …………. 9}
Select K = 6 from the set
∴ 73 K8 (R = 0)
∴ 73 K8 = 92 = 9L
⇒ 90 + 2 = (9 x 10 + L x 1)
⇒ 90 + 2 = 90 + L
∴ L = 2
∴ K = 6, L = 2

b) 1MN ÷ 3 = MN
If 1MN is divisible by 3 then sum of all the digits is divisible by 3.
⇒ 1 + M + N = 3 x {1,2,3}
Let 1 + M + N = 3 x 2 = 6 say
M + N = 5 …………..(1)
1MN3 = MN
⇒ 1MN = 3[MN]
⇒ 1 x 100 + M x 10 + N x 1
= 3[M x 10 + N x 1]
⇒ 100 + 10M + N = 3[10M + N]
⇒ 100 + 10M + N = 30M + 3N
⇒ 20M + 2N = 100
⇒ 10M + N = 50 …………….. (2)
From (1) & (2)

10 M + N = 50 (-) M + N = 5 9M = 45
∴ M = 5
If M = 5 then
M + N = 5
⇒ N = 0
M = 5, N = 0 [∵ 1503 = 50 ]

Question 5.
If ABB x 999 = ABC 123 (where A, B, C are digits) find the values of A, B, C.
Solution:

From ABB x 999 = ABC 123, the product of units digit is equal to 3.
∴ B x 9 = 3 is the units digit.
If B = 7 then,
7 x 9 = 6 3

∴ A = 8, B = 7, C = 6
∴ The required product = 876123
∴ A = 8, B = 7, C = 6

## Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 exam preparation. The AP Board STD 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Books State Board syllabus with maximum efficiency.

## FAQs Regarding Andhra Pradesh Board Class 8th Maths Chapter 15 Playing with Numbers Ex 15.5 Textbook Solutions

#### 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.

## Important Terms

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