MathDB
Perfect Square Population

Source:

March 3, 2010

Problem Statement

The population of Nosuch Junction at one time was a perfect square. Later, with an increase of 100, the population was one more than a perfect square. Now, with an additional increase of 100, the population is again a perfect square. The original population is a multiple of: <spanclass=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 7<spanclass=latexbold>(C)</span> 9<spanclass=latexbold>(D)</span> 11<spanclass=latexbold>(E)</span> 17 <span class='latex-bold'>(A)</span>\ 3 \qquad <span class='latex-bold'>(B)</span>\ 7 \qquad <span class='latex-bold'>(C)</span>\ 9 \qquad <span class='latex-bold'>(D)</span>\ 11 \qquad <span class='latex-bold'>(E)</span>\ 17