Question

How many numbers lie between ${15}^2$ and ${16}^2$ ?

• A. 31
• B. 1
• C. 30
• D. 2

Answer 1

The correct option is C 30

For any two consecutive natural numbers, n and n+1, the numbers lying in between $n^2$ and $(n+1{)}^2$ is 2n.
15 and 16 are two consecutive natural numbers.
Here n= 15
Hence, between ${15}^2$ and $(16{)}^2$ , there are $2\times 15$ = 30 numbers.