The sum of the perfect squares between 150 and 250 is:

The correct answer is Option (4) → 590

A perfect square is the square of a whole number. The squares that fall between 150 and 250 are found by squaring the numbers around \(\sqrt{150}\approx12.2\) and \(\sqrt{250}\approx15.8\).

The squares just outside the range (left out):

• \(12^2=144\) is below 150

• \(16^2=256\) is above 250

The squares between 150 and 250 (these are added):

• \(13^2=169\)

• \(14^2=196\)

• \(15^2=225\)

• Sum \(=169+196+225=590\)