The document Extra Questions and Practice Exercise- Playing with Numbers Class 8 Notes | EduRev is a part of the Class 8 Course Class 8 Mathematics by Full Circle.

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**Extra Questions Question 1: **If 51x3 is a multiple of 9, where x is a digits, then what is the value of x?

= 5 + 1 + x + 3 = 9 + x

Since, 51x3 is divisible by 9.

∴ (9 + x) must be divisible by 9.

∴ (9 + x) must be equal to 0 or 9 or 18 or 27 or …

But x is a digit, then

9 + x = 9 ⇒ x = 0

9 + x = 18 ⇒ x = 9

x = 27 ⇒ x = 18, which is not possible.

∴ The required value of x = 0 or 9.

= 2 + 7 + x = 9 + x

Since, 27x is a multiple of 3,

∴ (9 + x) is divisible by 3.

⇒ 9 + x must be equal to 9 or 12 or 15

When 9 + x = 9 ⇒ x = 0

When 9 + x = 12 ⇒ x = 3

When 9 + x = 15 ⇒ x = 6

When 9 + x = 18 ⇒ x = 9

When 9 + x = 21 ⇒ x = 12, which is not possible. [∵ x is a digit]

The x can equal to 0, 3, 6 or 9.

(i) 65 (ii) 605

(i) 7 x 100 + 10 x 5 + 9 x 1 (ii) 4 x 100 + 10 x 0 + 7 x 1

**Question **3. Is 307 divisible by 9?**Answer: **No**Question **4. Is 1125 divisible by 3?**Answer: **Yes**Question **5. Is 10011 divisible by 3?**Answer: **Yes**Question **6. If 42x5 is a multiple of 9 and x is a digit, then find the value of x.**Answer: **x = 7**Question **7. If 3x12 is a multiple of 3 and x is digit, then find the value of x.**Answer: **x = 0 or 3 or 6 or 9

**Question **8. If 35x is a multiple of 9 and x is digit, then find the value of x.**Answer: **x = 1

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