PP1 (Shorter) Quant Section 2 (Hard) Q2

<p><span style="color:#8e44ad;"><span style="font-size:20px;">Deductions from the Given Information</span></span></p> <p>We&#39;re given no information, so there&#39;s nothing to deduce here.</p> <p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem</span></span></p> <p>Since QB is a fixed value given as an integer, we just need to calculate QA and compare it. We can follow a process to find the number of multiples within an interval:</p> <ul> <li>Since $\frac{100}{11} \sim 9.09$ we know that the first multiple of $11$ in the interval will be the $10th$ multiple of $11$.</li> <li>Since $\frac{500}{11} \sim 45.45$ we know that the last multiple of $11$ in the interval will be the $45th$ multiple of $11$.</li> <li>So, there will be $(45-10)+1=36$ multiples of $11$ in the interval. We added $1$ because both endpoints of the range need to be&nbsp;included.</li> </ul> <p>So, QA is $36$ and QB is also $36$, so they are equal.</p> <p>Therefore, the answer would be <span style="color:#27ae60;">C</span>.</p>