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Question

If 5x6 is divisible by 3, then the smallest possible value of x is


A
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B
1
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C
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D
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Solution

The correct option is B 1
A number is divisible by 3 only when the sum of its digits is divisible by 3.
5x6 is divisible by 3. (given)
Sum of its digits must be divisible by 3.
5+x+6=11+x is divisible by 3.
The smallest multiple of 3 which is greater than 11 is 12.
11+x=12x=1
The smallest possible value of x will be 1.

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