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<html><body><h2 id="content-id-0891472536-2"><b>Data Sufficiency Questions Overview</b></h2><p>Data Sufficiency Questions have a good weightage in the Ibps Po Exam and the type of question asked in Ibps Po 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 Data Sufficiency Questions.</p><h2 id="content-id-4563729108-3"><b>Question On Data Sufficiency </b></h2>M and N are positive integers. Find which of the following statements is /are required to find the (rac{M 	imes N}{20}) is an integer.

Statement A: M × N is a multiple of 40.

Statement B: Both M and N are multiple of five.
<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 : 39 Seconds </h3></div></div><h2 id="content-id-1635709428-4"><b> Data Sufficiency Questions Options</b></h2><ol><li><p>Statement A alone is sufficient while Statement B is not.</p>
</li><li><p>Statement B alone is sufficient while statement A is not.</p>
</li><li><p>Statement A and B together are needed.</p>
</li><li><p>Both statements A and B together are not sufficient even with the combined information.</p>
</li><li><p>Both statements A and B alone are sufficient to answer the question.</p>
</li></ol> <h2 id="content-id-1835062947-5"><b> Data Sufficiency Questions Solution</b></h2><p>The correct answer is<strong> option 1 </strong>i.e.<strong> Statement A alone is sufficient while Statement B is not.</strong></p>

<p><strong>Statement I: </strong>M × N is a multiple of 40</p>

<p>If M × N is a multiple of 40, then it can be expressed as M × N = 40k for some integer k.<br>
Substituting this into (M × N)/20, we get:</p>

<p>(M × N)/20 = 40k/20 = 2k,</p>

<p>which is an integer because k is an integer.</p>

<p>Therefore, Statement I is sufficient.</p>

<p><strong>Statement II</strong>: Both M and N are multiples of five.</p>

<p>If both M and N are multiples of 5, then M = 5a and N = 5b for some integers a and b.<br>
Thus, M × N = 5a × 5b = 25ab.</p>

<p>Substituting this into (M × N)/20, we get:</p>

<p>(M × N)/20 = 25ab/20 = 5ab/4.</p>

<p>For this to be an integer, ab must be divisible by 4, which is not guaranteed by this statement alone.</p>

<p>Therefore, Statement II is not sufficient.</p>

<p>So, Only Statement I is required to determine that (M × N)/20 is an integer.<br>
 </p>
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The correct answer is option 1 i.e. Sta - Data Sufficiency Questions are asked in Ibps Po exams and your question has been explained by experts like Neetu Mam.

 Data Sufficiency Questions Tips and Tricks

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