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<html><body><h2 id="content-id-4201695783-2"><b>Number System Questions Overview</b></h2><p>Number System Questions have a good weightage in the Ssc Cpo Exam and the type of question asked in Ssc Cpo exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Number System Questions.</p><h2 id="content-id-7324168950-3"><b>Question On Number System </b></h2>The HCF and LCM of two numbers a and b are 37 and 222 respectively. What is the sum of all possible values of (a + b)? (Given a > b)
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 34 Seconds </h3></div></div><h2 id="content-id-6310987452-4"><b> Number System Questions Options</b></h2><ol><li><p>158</p>
</li><li><p>222</p>
</li><li><p>351</p>
</li><li><p>444</p>
</li></ol> <h2 id="content-id-2971468305-5"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>Option 4</strong> i.e. <strong>444.</strong></p>

<p>If the HCF of the number a and b = 37</p>

<p>Then, a = 37p and, b = 37q, where p and q are co-prime numbers</p>

<p>⇒ a × b = H.C.F. × L.C.M.</p>

<p>⇒ 37<sup>2</sup>pq = 37 × 222</p>

<p>⇒ pq = 6</p>

<p>There are two cases p = 6, q = 1 and p = 3, q = 2</p>

<p><strong>Case I:</strong></p>

<p>⇒ a = 37 × 6 = 222 and b = 37 × 1 = 37</p>

<p>⇒ a + b = 259</p>

<p><strong>Case II:</strong></p>

<p>⇒ a = 37 × 3 = 111 and b = 37 × 2 = 74</p>

<p>⇒ a + b = 185</p>

<p>Sum of all possible values of (a + b) = (259 + 185) = 444</p>
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The correct answer is Option 4 i.e. 444 - Number System Questions are asked in Ssc Cpo exams and your question has been explained by experts like Neetu Mam.

The HCF and LCM of two nu - Number System Questions for Ssc Cpo

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