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<html><body><h2 id="content-id-8396471052-2"><b>HCF And LCM Questions Overview</b></h2><p>HCF And LCM Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl 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 HCF And LCM Questions.</p><h2 id="content-id-0381475926-3"><b>Question On HCF And LCM </b></h2>HCF of two numbers is 18. If the sum of these two numbers and their LCM is 954. How many pairs of such numbers are possible?
<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 : Easy </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-9173046528-4"><b> HCF And LCM Questions Options</b></h2><ol><li><p>2</p>
</li><li><p>3</p>
</li><li><p>4</p>
</li><li><p>5</p>
</li></ol> <h2 id="content-id-0497526381-5"><b> HCF And LCM Questions Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>3</strong>.</p>

<p>HCF of numbers = 18</p>

<p>Numbers = 18x, 18y where x & y are co-prime numbers</p>

<p>LCM = 18xy</p>

<p>18x + 18y + 18xy = 954</p>

<p>(x + y + xy) = 53</p>

<p>1 + x + y + xy = 54</p>

<p>(1 + x)(1 + y) = 54</p>

<p>    1          54 → ×</p>

<p>    2          27 → â&#156;&#147;</p>

<p>    3          18 → â&#156;&#147;</p>

<p>    6           9 → â&#156;&#147;</p>

<p>So, 3 pairs are posible</p>
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The correct answer is Option 2 i.e. 3.  - HCF And LCM Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

HCF of two numbers is 18 - HCF And LCM Questions for Ssc Cgl

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