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<html><body><h2 id="content-id-8319267504-2"><b>Data Sufficiency Questions Overview</b></h2><p>Data Sufficiency 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 Data Sufficiency Questions.</p><h2 id="content-id-0248395617-3"><b> Comprehension On Data Sufficiency Questions</b></h2>Direction: The question below is followed by three statements numbered I, II, and III. You must decide whether the data provided in the statements are sufficient to answer the question and choose the correct option accordingly.
<h2 id="content-id-7693405281-4"><b>Question On Data Sufficiency </b></h2>A manufacturer designed a solid metallic sphere and a solid right circular cylinder.


	The radius of the solid sphere is (A − 1) cm.
	The radius of the cylinder is (B − 1) cm and its height is 6 cm.


ABC is a three-digit number where A, B, and C represent the hundreds, tens, and units digits respectively.

The number satisfies:


	B = 2C
	30 < A × B × C < 90


What is the Total Surface Area (in cm²) of the solid sphere?

Statement I: A is an odd prime number.

Statement II: The volume of the cylinder is 150π cm3.

Statement III: C is a factor of 12.
<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 : 66 Seconds </h3></div></div><h2 id="content-id-2354170869-5"><b> Data Sufficiency Questions Options</b></h2><ol><li><p>Only Statement II is sufficient</p>
</li><li><p>Only Statement I and Statement II together are sufficient</p>
</li><li><p>Only Statement II and Statement III together are sufficient</p>
</li><li><p>Any two of the three statements together are sufficient</p>
</li><li><p>All three statements together are necessary</p>
</li></ol> <h2 id="content-id-7604159283-6"><b> Data Sufficiency Questions Solution</b></h2><p>The correct answer is <strong>option 2</strong> i.e. <strong>Only Statement I and Statement II together are sufficient</strong></p>

<p>The Total Surface Area of the sphere is = 4π(A − 1)<sup>2</sup></p>

<p>Hence, we need the exact value of A.</p>

<p>Statement II</p>

<p>Volume of cylinder = π(B − 1)<sup>2</sup> × 6</p>

<p>150π = π(B − 1)<sup>2</sup> × 6</p>

<p>150 = 6(B − 1)<sup>2</sup></p>

<p>(B − 1)<sup>2</sup> = 25</p>

<p>B = 6</p>

<p>Since,</p>

<p>B = 2C</p>

<p>C = 3</p>

<p>Now,</p>

<p>30 < A × 6 × 3 < 90</p>

<p>30 < 18A < 90</p>

<p>A = 2, 3, 4</p>

<p>More than one value of A is possible.</p>

<p>Statement II alone is not sufficient.</p>

<p>Statement I + Statement II</p>

<p>From Statement II,</p>

<p>A ∈ {2, 3, 4}</p>

<p>Statement I says A is an odd prime.</p>

<p>Only</p>

<p>A = 3</p>

<p>Thus, the radius of the sphere = A – 1 = 2 cm</p>

<p>Hence, the Total Surface Area is uniquely determined.</p>

<p>Statement I and Statement II together are sufficient.</p>

<p>Statement II + Statement III</p>

<p>Statement II gives</p>

<p>B = 6 and C = 3.</p>

<p>Statement III says C is a factor of 12.</p>

<p>Since 3 is already a factor of 12, Statement III adds no new information.</p>

<p>A is still 2, 3, 4</p>

<p>Not unique.</p>

<p>Not sufficient.</p>

<p>Statement I + Statement III</p>

<p>Statement III:</p>

<p>C is a factor of 12.</p>

<p>Possible values:</p>

<p>C = 1, 2, 3, 4</p>

<p>Since B = 2C,</p>

<p>Possible pairs are:</p>

<ul>
	<li>(C, B) = (1, 2)</li>
	<li>(2, 4)</li>
	<li>(3, 6)</li>
	<li>(4, 8)</li>
</ul>

<p>Using</p>

<p>30 < A × B × C < 90</p>

<ul>
	<li>C = 1, B = 2 ⇒ No valid odd prime A.</li>
	<li>C = 2, B = 4 ⇒ A = 5 or 7.</li>
	<li>C = 3, B = 6 ⇒ A = 3.</li>
	<li>C = 4, B = 8 ⇒ No valid odd prime A.</li>
</ul>

<p>Possible values of A are 3, 5, 7</p>

<p>Hence, the sphere's radius is not unique.</p>

<p>Not sufficient.</p>
<h2 id="content-id-7481053629-7"><b> Data Sufficiency Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Data_Sufficiency_Questions_Tips_and_Tricks.png" alt="Data Sufficiency Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Data Sufficiency Questions without taking any help from the solutions.</li><li>Data Sufficiency 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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