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Question

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If 5x6 is exactly divisible by 3, then the least value of x is
(a) 0
(b) 1
(c) 2
(d) 3

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Solution

(b) 1

If a number is exactly divisible by 3, the sum of the digits must also be divisible by 3.
5+x+6=11+x must be divisible by 3.
The smallest value of x is 1.
x=1
x+11 = 12 is divisible by 3.

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