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Question

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If 4xy7 is exactly divisible by 3, then the least value of (x + y) is
(a) 1
(b) 4
(c) 5
(d) 7

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Solution

(a) 1
If a number is divisible by 3, the sum of the digits is also divisible by 3.
4+x+y+7=11+(x+y)
For the sum to be divisible by 3:
11+(x+y)=12 (x+y) = 1

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