Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

If 5x6 is exactly divisible by 3, then the least value of x is

(a) 0

(b) 1

(c) 2

(d) 3

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 .

$x=1$

$\Rightarrow x+11=12$ is divisible by $3 .$

 

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