How many odd numbers between 10 and 1,000 are the squares of integers?
Odd numbers are those numbers that cannot be divided into two parts equally
Answer: There are 14 odd numbers between 10 and 1,000 which are the squares of integers.
Any number raised to exponent two is called the square of the base.
The square root of an odd number will also be an odd number.
Hence, we just need to find how many odd number squares could be there between 10 and 1000.
The least odd number square lying above 10 is 52 and the largest odd number square below 1000 is 312.
Hence, the number of odd integers from 5 to 31 is the required number.
There are 14 odd numbers between 5 to 31.
Thus, 14 odd numbers between 10 and 1,000 are the squares of integers.