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<html><body><h2 id="content-id-1645079823-2"><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-9103785642-3"><b>Question On Number System </b></h2>If a + b + c = 1, ab + bc + ca = –8 and a3 + b3 + c3 = –11, then what is the value of (aover bc) + (bover ac ) + (cover ab)?
<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-2653791048-4"><b> Number System Questions Options</b></h2><ol><li><p><span class="math-tex">\(4\over3\)</span></p>
</li><li><p><span class="math-tex">\(-17\over12\)</span></p>
</li><li><p><span class="math-tex">\(7\over12\)</span></p>
</li><li><p><span class="math-tex">\(-5\over4\)</span></p>
</li></ol> <h2 id="content-id-4893576201-5"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>Option</strong> <strong>2</strong> i.e. <span class="math-tex">\(-17\over12\)</span>.</p>

<p>a<sup>3</sup> + b<sup>3</sup> + c<sup>3</sup> - 3abc = (a + b + c)[(a + b + c)<sup>2</sup> - 3(ab + bc + ca)]</p>

<p>-11 - 3abc = 1[1 - 3 × (-8)]</p>

<p>-11 - 3abc = 1 + 24</p>

<p>-11 - 25 = 3abc</p>

<p>3abc = -36</p>

<p>abc = -12</p>

<p>(<span class="math-tex">\(a\over bc\)</span> + <span class="math-tex">\(b\over ac \)</span> + <span class="math-tex">\(c\over ab\)</span>) = <span class="math-tex">\({a^2+b^2+c^2}\over abc\)</span></p>

<p><span class="math-tex">\({(a+b+c)^2 -2(ab+bc+ca)}\over abc\)</span> = <span class="math-tex">\({1-2(-8)}\over-12\)</span> =  <span class="math-tex">\(1+16\over-12\)</span> = <span class="math-tex">\(-17\over12\)</span></p>
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The correct answer is Option 2 i.e. (- - Number System Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

If a b c 1 ab bc - Number System Questions for Ssc Cgl

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