6.If 18y71 is divisible by 3, where y is a digit, then find the value of y.
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Answer:
y = 1
Test of divisibility of 3 is;
Sum of the digits must divide by 3 that means must give remainder as 0.
1+8+y+7+1 = must be a multiple of 3
or the number thus obtained must be divisible by 3 on adding it's digits that is 17+y must be divisible by 3 or 1+7+y = 8+y must be divisible by 3.
as y can't be a single digit number hence there's only one number that is 1 which by adding with 8 you'll get 9 that will be divisible by 3.
hence 1 is the answer.
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