Question

Extra questions:-

Q1. Fill in the smallest digit to make the number divisible by :

(i) by 3 : 7164__, 32197__

(ii) by 3 : 1__43,. 47__05,. __316

(iii) by 3 : __428,. 9__52,. 721__

(iv) by 9 : 2462__, 91__ __,. 670__

(v) by 9 : 1232__,. 59__16,. 4642__​

Answer 1

The properties of division of 3 and 9 state that if the sum of the digits is divisible by 3 or 9, the number is also divisible by 3 or 9.

I) Sum = 18

Since 18 is already a multiple of 3, the missing digit would be 0.

Sum = 22

Next multiple of 3 = 24

Hence missing digit = 24-22 = 2

II) 1. ;. 2. ;. 2

III) 1. ; 2. ;. 2

IV) 4. ;. 8. (one blank) or 1 and 7 (two blank) ; 5

V) 1. ;. 6. ;. 2

Hope you got it!

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