How many perfect squares lie between 120 and 300?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 7
A perfect square is the square of a whole number. The squares between 120 and 300 are found by locating the first and last whole numbers whose squares fall in the range.
\(10^2=100\lt120\) but \(11^2=121\gt120\), so the first square is \(11^2\)
\(17^2=289\lt300\) but \(18^2=324\gt300\), so the last square is \(17^2\)
The squares are \(11^2,12^2,\ldots,17^2\): 121, 144, 169, 196, 225, 256, 289, that is \(17-11+1=7\) squares