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<html><body><h2 id="content-id-6142705398-2"><b>Comparison Of Quantities Questions Overview</b></h2><p>Comparison Of Quantities 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 Comparison Of Quantities Questions.</p><h2 id="content-id-2983164507-3"><b>Question On Comparison Of Quantities </b></h2>In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II

Quantity I: The ratio of its height to its base radius of cone is 4 : 3 and its volume is 12936 cm3. Find the curved surface area (in cm2) of a cone.

Quantity II: The curved surface area (in cm2) of a solid sphere whose volume is 38808 cm3.
<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 : 47 Seconds </h3></div></div><h2 id="content-id-0293716485-4"><b> Comparison Of Quantities Questions Options</b></h2><ol><li><p>Quantity I < Quantity II</p>
</li><li><p>Quantity I > Quantity II</p>
</li><li><p>Quantity I ≥ Quantity II</p>
</li><li><p>Quantity I ≤ Quantity II</p>
</li><li><p>Quantity I = Quantity II</p>
</li></ol> <h2 id="content-id-5679084123-5"><b> Comparison Of Quantities Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e. <strong>Quantity I < Quantity II</strong></p>

<p>Quantity I</p>

<p>Height : Radius = 4 : 3</p>

<p>Let height = 4x and radius = 3x</p>

<p>Volume of cone = (1/3) × π × r<sup>2</sup> × h</p>

<p>12936 = (1/3) × π × (3x)<sup>2</sup> × 4x</p>

<p>12936 = 12πx<sup>3</sup></p>

<p>12936 = 12 × 22/7 × x<sup>3</sup></p>

<p>12936 = 264x<sup>3</sup>/7</p>

<p>x<sup>3</sup> = 12936 × 7 / 264 = 343</p>

<p>x = 7</p>

<p>Radius = 21 cm</p>

<p>Height = 28 cm</p>

<p>Slant height = √(21<sup>2</sup> + 28<sup>2</sup>)</p>

<p>= √(441 + 784) = √1225 = 35 cm</p>

<p>Curved surface area of cone = πrl</p>

<p>= 22/7 × 21 × 35 = 2310 cm<sup>2</sup></p>

<p>Quantity I = 2310 cm<sup>2</sup></p>

<p>Quantity II</p>

<p>Volume of sphere = (4/3)πr<sup>3</sup></p>

<p>38808 = (4/3) × 22/7 × r<sup>3</sup></p>

<p>38808 = 88r<sup>3</sup>/21</p>

<p>r<sup>3</sup> = 38808 × 21 / 88 = 9261</p>

<p>r = 21 cm</p>

<p>Curved surface area of sphere = 4πr<sup>2</sup></p>

<p>= 4 × 22/7 × 21 × 21</p>

<p>= 5544 cm<sup>2</sup></p>

<p>Quantity II = 5544 cm<sup>2</sup></p>

<p>Quantity II > Quantity I</p>
<h2 id="content-id-4319602875-6"><b> Comparison Of Quantities Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Comparison_Of_Quantities_Questions_Tips_and_Tricks.png" alt="Comparison Of Quantities Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Comparison Of Quantities Questions without taking any help from the solutions.</li><li>Comparison Of Quantities 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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