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<html><body><h2 id="content-id-5972013864-2"><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-1208579346-3"><b>Question On Number System </b></h2>Pia, Tia, and, Mia playing cricket wearing T-Shirt x, y, and z. If the T-shirt number of Tia is the divisor of (450255 - 256255), the T-shirt number of Pia is the sum of total factors of 84, and the T-shirt number of Mia is the 25 times the unit digit of 12423 × 45456 × 78621 × 10257 × 23011 × 12598 × 125755. Find the H.C.F of the T-shirt number of Pia, Tia, and Mia.
<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 : 47 Seconds </h3></div></div><h2 id="content-id-6859430127-4"><b> Number System Questions Options</b></h2><ol><li><p>1</p>
</li><li><p>25</p>
</li><li><p>5</p>
</li><li><p>16</p>
</li></ol> <h2 id="content-id-8257604931-5"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>Option 1</strong> i.e.<strong> 1.</strong></p>

<p>T-shirt number of Tia:-</p>

<p>Concept:</p>

<p>If (a<sup>n</sup> - b<sup>n</sup>), n is odd then, it is always divisible by (a - b)</p>

<p>Now, </p>

<p>T-shirt number of Tia (450<sup>255</sup> - 256<sup>255</sup>) = (450 - 256) = 194</p>

<p>T-shirt number of Pia:- </p>

<p>The sum of total factors of 264 = 2<sup>3</sup> × 3 × 11</p>

<p>(2<sup>0</sup> + 2<sup>1</sup> + 2<sup>2</sup> + 2<sup>3</sup>)(3<sup>0</sup> + 3<sup>1</sup>)(11<sup>0</sup> + 11<sup>1</sup>)</p>

<p>(1 + 2 + 4 + 8)(1 + 3)(1 + 11) = 15 × 4 × 12 = 720</p>

<p>T-shirt number of Mia:-</p>

<p>Unit digit of 12423 × 45456 × 78621 × 10257 × 23011 × 12598 × 125755.</p>

<p>We know that when the last digit of any number is 5 then, the unit digit will be 5</p>

<p>So, the unit digit is 5</p>

<p>25 × 5 = 125</p>

<p>So, the T-shirt number of Pia, Tia, and Mia = 194, 720, and 125</p>

<p>194 = 1, 2, 97, 194</p>

<p>720 = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720</p>

<p>125 = 1, 5, 25 and 125</p>

<p>So, the H.C.F = 1</p>
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 sqrt 1089 - Simplification Questions for Ssc Cgl

Find the difference 6 4 - Simplification Questions for Ssc Cgl

The correct answer is Option 1 i.e. 1.  - Number System Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

Pia Tia and Mia playin - Number System Questions for Ssc Cgl

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