## RS Aggarwal Class 8 Solutions Chapter 5 Playing with Numbers Ex 5D

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5D.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5A
- RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5B
- RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5C
- RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5D

**Question 1.**

**Solution:**

5×6 is exactly divisible by 3

Sum of its digits must be divisible by 3

5 + x + 6 = 11 + x is divisible by 3

Least value of x = 1 as 12 is divisible by 3 (b)

**Question 2.**

**Solution:**

64y8 is exactly divisible by 3 then the sum of its digits must be divisible by 3

6 + 4 + y + 8 or 18 + y is divisible by 3

Least value of y = 0

18 is divisible by 3 (a)

**Question 3.**

**Solution:**

7 x 8 is exactly divisible by 9

Sum of its digits must be divisible by 9

7 + x + 8 = 15 + x must be divisible by 9

Least value of x = 3 as 15 + 3 = 18 is divisible by 9 (c)

**Question 4.**

**Solution:**

37y4 is exactly divisible by 9

The sum of its digits must be divisible by

3 + 7 + y + 4 or 14 + y is divisible by 9

Least value of y = 4

As 14 + 4 = 18 is divisible by 9 (d)

**Question 5.**

**Solution:**

4xy7 is exactly divisible by 3

The sum of its digits must be divisible by 9

or 4 + x + y + 7 or 11 + (x + y) is divisible by 9

Least value of x + y = 7

as 11 + 7 = 18 is divisible by 9 (d)

**Question 6.**

**Solution:**

x7y5 is exactly divisible by 3

Sum of its digits must be divisible by 3

x + 7 + y + 512 + (x + y) is divisible by 3

Least value of x + y = 0 as

12 + 0 = 12 is divisible by 3 (b)

**Question 7.**

**Solution:**

x4y5z is exactly divisible by 9

The sum of its digits must be divisible by 9

x + 4 + y + 5 + z or 9 + (x + y + z) must be divisible by 9

Least value of x + y + z = 0 as 9 + 0 = 9 is divisible by 9 (d)

**Question 8.**

**Solution:**

A2B5 is exactly divisible by 9

Sum of its digits must be divisible by 9

A + 2 + B + 5 = 7 + A + B is divisible by 9

Least value of A + B = 2 as 7 + 2 = 9 is divisible by 9

**Question 9.**

**Solution:**

x27y is exactly divisible by 9

The sum of its digits must be divisible by 9

x + 2 + 7 + y = x + y + 9 is divisible by 9

Least value of x + y = 0 as 0 + 99 is exactly divisible by 9 (a)

Hope given RS Aggarwal Solutions Class 8 Chapter 5 Playing with Numbers Ex 5D are helpful to complete your math homework.

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