Number System Practice Test 3

Let the number be $\mathit{X}$ .

When you divide X by 4 it gives remainder 1.
Let the dividend here be Y
$\Rightarrow \mathit{X}=4\mathit{Y}+1...\left(1\right)$

Now, when we divide Y by 5, we get remainder 4.
We take quotient as 1, as 5 divided Y completely.
$\Rightarrow \mathit{Y}=1\times 5+4=9$

Putting Y=9 in eqn (1), we get
$\mathit{X}=4\times 9+1=37$

Now, 37 divide by 5 and 4 respective it will gives 2 and 3.