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<html><body><h2 id="content-id-1952034867-2"><b>Number Series Questions Overview</b></h2><p>Number Series Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl 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 Series Questions.</p><h2 id="content-id-9413802567-3"><b> Comprehension On Number Series Questions</b></h2>A series is given as:

(3a + 1), (3a - 2b), (4c + bc), (4c - 2b), (7b - 3), 3c

Here, a = square of the only even prime number

b = one less than the first odd prime number

c = a - 1

 
<h2 id="content-id-2678053914-4"><b>Question On Number Series </b></h2>Statement I: The difference between the largest and the smallest terms of the series is equal to (a + b)c - 4c - 99.

Statement II: The average of the middle two terms (T3 and T4) is an odd number.

Statement III: If a new term T7 = (ab + ba + cb) is added to the series, the total average of all 7 terms increases by 1.
<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 : 57 Seconds </h3></div></div><h2 id="content-id-8375029461-5"><b> Number Series Questions Options</b></h2><ol><li><p>Only I</p>
</li><li><p>Both I and II</p>
</li><li><p>Only II</p>
</li><li><p>Both II and III</p>
</li><li><p>All statements are true</p>
</li></ol> <h2 id="content-id-6153240978-6"><b> Number Series Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>Only II</strong>.</p>

<p><strong>a = 4, b = 2, c = 3</strong></p>

<p>T<sub>1</sub> = 3<sup>4</sup> + 1 = 82</p>

<p>T<sub>2</sub> = 3<sup>4</sup> - 2<sup>2</sup> = 77</p>

<p>T<sub>3</sub> = 4<sup>3</sup> + 2 × 3 = 70</p>

<p>T<sub>4</sub> = 4<sup>3</sup> - 2<sup>2</sup> = 60</p>

<p>T<sub>5</sub> = 7<sup>2</sup> - 3 = 46</p>

<p>T<sub>6</sub> = 3<sup>3</sup> = 27</p>

<p><strong>Statement I:</strong></p>

<p>Largest term = 82, Smallest term = 27</p>

<p>Difference = 82 - 27 = 55</p>

<p>(a + b)<sup>c</sup> - 4<sup>c</sup> - 99 = 6<sup>3</sup> - 4<sup>3</sup> - 99 = 53</p>

<p>∴ Statement I is <strong>False</strong>.</p>

<p><strong>Statement II:</strong></p>

<p>Average of T<sub>3</sub> and T<sub>4</sub> = (70 + 60) ÷ 2 = 65</p>

<p>65 is an odd number.</p>

<p>∴ Statement II is <strong>True</strong>.</p>

<p><strong>Statement III:</strong></p>

<p>T<sub>7</sub> = 4<sup>2</sup> + 2<sup>4</sup> + 3<sup>2</sup> = 16 + 16 + 9 = 41</p>

<p>Sum of first 6 terms = 82 + 77 + 70 + 60 + 46 + 27 = 362</p>

<p>New average = (362 + 41) ÷ 7 = 403 ÷ 7 = 57.57</p>

<p>Original average = 362 ÷ 6 = 60.33</p>

<p>The average decreases, not increases by 1.</p>

<p>∴ Statement III is <strong>False</strong>.</p>

<p><strong>Final Answer: Only Statement II is True.</strong></p>
<h2 id="content-id-7462039815-7"><b> Number Series Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Number_Series_Questions_Tips_and_Tricks.png" alt="Number Series Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Number Series Questions without taking any help from the solutions.</li><li>Number Series Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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