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<html><body><h2 id="content-id-6174038925-2"><b>Number System Questions Overview</b></h2><p>Number System 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 Number System Questions.</p><h2 id="content-id-1453208796-3"><b>Question On Number System </b></h2>The HCF and the LCM of two numbers are 57 and 114, respectively. If one number is (9over2) times the other, what is the larger number?
<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-6140273958-4"><b> Number System Questions Options</b></h2><ol><li><p>171</p>
</li><li><p>154</p>
</li><li><p>186</p>
</li><li><p>124</p>
</li></ol> <h2 id="content-id-3497860152-5"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>Option 1</strong> i.e. <strong>171</strong>.</p>

<p>Let the smaller number be x</p>

<p>Then the larger number = <span class="math-tex">\(9\over2\)</span> × x</p>

<p>HCF × LCM = Product of the two numbers</p>

<p>⇒ 57 × 114 = x × (<span class="math-tex">\(9\over2\)</span> × x)</p>

<p>⇒ 57 × 114 = <span class="math-tex">\(9x^2\over2\)</span></p>

<p>⇒ 2 × 57 × 114 = 9x<sup>2</sup></p>

<p>⇒ 12996 = 9x<sup>2</sup></p>

<p>⇒ x<sup>2</sup> = 1444</p>

<p>⇒ x = 38 (smaller number)</p>

<p>Larger number = <span class="math-tex">\(9\over2\)</span> × 38 = 171 </p>
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The correct answer is Option 1 i.e. 171. - Number System Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

The HCF and the LCM of tw - Number System Questions for Ssc Cgl

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