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If $\overline{98125x2}$ is a number with $x$ as its tens digits such that it is divisible by 4. Find all the possible values of $x$.
Given:
$\overline{98125x2}$ is a number with $x$ as its tens digits such that it is divisible by 4.
To do:
We have to find all the possible values of $x$.
Solution:
The number $\overline{98125x2}$ is divisible by 4.
This implies,
The number formed by tens digit and units digit will also be divisible by 4.
Therefore,
$\overline{x2}$ is divisible by 4.
If $x=1$, then $x2=12$ is divisible by 4.
If $x=3$, then $x2=32$ is divisible by 4.
If $x=5$, then $x2=52$ is divisible by 4.
If $x=7$, then $x2=72$ is divisible by 4.
If $x=9$, then $x2=92$ is divisible by 4.
The possible values of $x$ are $1, 3, 5, 7$ and $9$.
Updated on: 10-Oct-2022
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