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<html><body><h2 id="content-id-2907351468-2"><b>Number System Questions Overview</b></h2><p>Number System Questions have a good weightage in the Ibps Clerk Exam and the type of question asked in Ibps Clerk 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-0593186742-3"><b> Comprehension On Number System Questions</b></h2>There are 3 sets of natural numbers. The product of the smallest and largest elements of set A is 32. The number of elements in set A is one less than that in set B. The product of the smallest and largest elements of set B is 50 more than the product of the smallest and largest elements of set A. Set B contains one element more than set C. The product of the smallest and largest elements of set C is 29. Set C contains two prime numbers.

Notes:

1. All elements are unique within and across sets.

2. The smallest element of each set is different.

3. The total number of elements in all three sets is 13.
<h2 id="content-id-7348261095-4"><b>Question On Number System </b></h2>Find the possible maximum sum of elements of set C.
<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 : 61 Seconds </h3></div></div><h2 id="content-id-0687459321-5"><b> Number System Questions Options</b></h2><ol><li><p>68</p>
</li><li><p>77</p>
</li><li><p>76</p>
</li><li><p>81</p>
</li><li><p>74</p>
</li></ol> <h2 id="content-id-6943021587-6"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>Option 4</strong> i.e. <strong>81</strong>.</p>

<p>Let elements in set C = x</p>

<p>Set B = x + 1</p>

<p>Set A = x</p>

<p>⇒ x + (x + 1) + x = 13</p>

<p>⇒ 3x + 1 = 13</p>

<p>⇒ x = 4</p>

<p>So,</p>

<p>Set A = 4 elements</p>

<p>Set B = 5 elements</p>

<p>Set C = 4 elements</p>

<p>Set A product = 32</p>

<p>Possible pairs: (1, 32), (2, 16), (4, 8)</p>

<p>Set C product = 29 (prime)</p>

<p>Only possible pair: (1, 29)</p>

<p>29 is prime → condition satisfied</p>

<p>So, set C smallest = 1, largest = 29</p>

<p>Product of set B = 32 + 50 = 82</p>

<p>82 = 2 × 41</p>

<p>So, set B smallest = 2, largest = 41</p>

<p>Set C smallest = 1</p>

<p>Set B smallest = 2</p>

<p>So, set A smallest ≠ 1,2 → choose (4, 8)</p>

<p>Thus:</p>

<p>Set A smallest = 4, largest = 8</p>

<p>Set B smallest = 2, largest = 41</p>

<p>Set C smallest = 1, largest = 29</p>

<p>Set A (4 elements): {4, __, __, 8}</p>

<p>Set B (5 elements): {2, __, __, __, 41}</p>

<p>Set C (4 elements, two primes): {1, 23, 28, 29}</p>

<p>According to the question,</p>

<p>Sum = 1 + 23 + 28 + 29 = 81</p>
<h2 id="content-id-8960127345-7"><b> Number System Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Number_System_Questions_Tips_and_Tricks.png" alt="Number System Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Number System Questions without taking any help from the solutions.</li><li>Number System 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 Banking and a current affairs quiz too for the practice. 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