Question

How many numbers lie between the squares of the numbers $99$ and $100$?
[2 marks]

• A. $200$
• B. $199$
• C. $201$
• D. $198$

Answer 1

The correct option is D $198$

There are 2𝑛 non-square numbers between $n^2$ and $(n+1{)}^2$.
[1 mark]
Here $n$ = 99,
So, $2\times 99$ = $198$ numbers lie between the squares of $99$ and $100$.
[1 mark]