Question

What number am I?

I have four digits.

I am less than $6000$ and greater than $5000$.

My hundreds digit is less than $6$ but more than $4$.

Tens digits is in $3$ times table and is more than $6$ but less than $10$.

Ones digit is 5.

Answer 1

Finding the number:

Given number is in four digits.

Thousands	Hundreds	Tens	Ones.

And, the number is less than $6000$ and greater than $5000$.

So, digit in thousand digit place would be $5$ as the number is in between $5000$ and $6000$.

Thousands	Hundreds	Tens	Ones.
$5$

Now, digit in hundreds place is less than $6$ but more than $4$ so it should be $5$

Thousands	Hundreds	Tens	Ones.
$5$	$5$

The digit in tens place is in $3$ times table and is more than $6$ but less than $10$.

$$\begin{gathered} 3\times 1=3 \\ 3\times 2=6 \\ 3\times 3=9 \\ 3\times 4=12 \end{gathered}$$

So, the tens digit would be $9$, as the number should be more than $6$ but less than $10$.

Thousands	Hundreds	Tens	Ones.
$5$	$5$	$9$

And, ones digit is $5$.

Thousands	Hundreds	Tens	Ones.
$5$	$5$	$9$	$5$

Hence, the required number is $5595$.