How many odd numbers between 10 and 1,200 are the squares of integers?  Answers:  A) 12  B) 13  C) 14  D) 15  E) 16
The square of an odd number is an odd number:   10 &lt; odd &lt; 1,000   10 &lt; odd^2 &lt; 1,000   3.something &lt; odd &lt; 31.something (by taking the square root).   So, that odd number could be any odd number from 5 to 31, inclusive: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, and 31.   16 numbers.   Answer: 16.
<result>E</result>
How many odd numbers between 10 and 1,200 are the squares of integers?