PP1 (Shorter) Quant Section 2 (Hard) Q3

<p><span style="color:#8e44ad;"><span style="font-size:20px;">Deductions from the Given Information</span></span></p> <p>We know that both $c$ and $d$ are greater than 0, but we don&#39;t know much beyond this:</p> <p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem</span></span></p> <p>We can use <span style="color:#8e44ad;"><strong>Equal not Equal Strategy</strong></span> to solve this:</p> <table border="1" cellpadding="1" cellspacing="1"> <thead> <tr> <th scope="col">c</th> <th scope="col">d</th> <th scope="col">QA</th> <th scope="col">QB</th> <th scope="col">Status</th> </tr> </thead> <tbody> <tr> <td>$1$</td> <td>$1$</td> <td>$\frac{1}{1} = 1$</td> <td>$\frac{1+3}{1+3} =&nbsp;\frac{4}{4} = 1$</td> <td>Equal</td> </tr> <tr> <td>$1$</td> <td>$2$</td> <td>$\frac{1}{2} = 0.5$</td> <td>$\frac{1+3}{2+3} =&nbsp;\frac{4}{5} = 0.8$</td> <td>Not Equal</td> </tr> </tbody> </table> <p>As we can see if $c$ and $d$ are the same, then QA and QB are equal, otherwise, they are not equal.</p> <p>So, we must choose <span style="color:#27ae60;">D</span>.</p>