Question

Which of the following numbers is divisible by $5$?
A) $132$
B) $456$
C) $890$
D) $346$

Answer 1

Hint: To find out the number that is divisible by $5$, we need to perform the divisibility test of $5$ which states that ‘A number is divisible by $5$ if the unit’s place of the number is either $0$ or $5$’.
The number which will pass the test will be divisible by $5$ and the rest of the numbers will not be divisible by $5$.

Complete step-by-step solution:
We will consider the options one by one and will perform the divisibility test of $5$, on them.
Let us consider option A) which is $132$.
The unit’s place of $132$ is neither $0$ nor $5$.
Therefore, the number $132$ fails the divisibility test of $5$ and thus, is not divisible by $5$.

Now, let us take option B) which is $456$.
The unit’s place of $456$ is neither $0$ nor $5$.
Therefore, the number $456$ fails the divisibility test of $5$ and thus, is not divisible by $5$.

Now, we will consider option C) which is the number $890$.
The unit’s place of $890$ is $0$, so it passes the divisibility test of $5$.
Therefore, $890$ is divisible by $5$.

Lastly, consider option D) which is $346$.
The unit’s place of $346$ is neither $0$ nor $5$.
Therefore, the number $346$ fails the divisibility test of $5$ and thus, is not divisible by $5$.

Since $890$ is the only number in the given options that is divisible by $5$. Therefore, option (C) is correct.

Note: Always use the divisibility tests of different numbers to find out whether a number divides a particular number or not. It is not feasible to perform a long division to find out the divisibility of a particular number by some other number whose divisibility test is known.