Question

# A number is divisible by $18$, if it is divisible by both $3$ and $6$.

A
True
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B
False
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Solution

## The correct option is B FalseGiven that a number is divisible by both $3$ and $6$.We have to find whether the number is divisible by $18$ or not.We know that If a number is divisible by any other number then it will also be divisible by each of the factors of that number.Factors of $18=1,2,3,6,9,18$Thus if a number is divisible by $18$ then it will also be divisible by each of the factors $1,2,3,6,9$ not only $3$ and $6$.For example: $12$ is divisible by both $3$ and $6$ but is not divisible by $18$.Therefore the given statement is false.

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