10. Some numerals in the following numbers have been replaced by letters. Find the smallest missing numerals with the help of the divisibility rules.
(a) The number 1A4 is divisible by 3.
(b) The number 42B is divisible by both 2 and 3.
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Answer:
a) Given :
find smallest missing numberals And sum of the numerals divisible by 3
Rule : sum of digits divisible by 3
now,
case 1 :
consider A = 0 ( the 1st smallest numeral of all )
then, 1A4 becomes 104
now, apply rules
sum of digits = 1+0+4= 5
5 CANNOT be divided by 3 so this '0' is not the answer.
case 2 :
if A = 0 ( the 2nd smallest number next to 0 )
then, 1A4 becomes 114
now apply rules
sum of digits = 1+1+4=6
6 is divisible by 3
therefore, A = 1
therfore 114 is divisible by 3
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