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__
Answers
Answered by
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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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