Clat2020- Quantitative Techniques

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<h5 id="quantitative-techniques">Quantitative Techniques</h5>
<p>A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following?</p>
<table>
<thead>
<tr>
<th style="text-align:left">Sr. No.</th>
<th style="text-align:left">Object</th>
<th style="text-align:left">Length</th>
<th style="text-align:left">Breadth</th>
<th style="text-align:left">Height</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left">1.</td>
<td style="text-align:left">Room</td>
<td style="text-align:left">18 feet</td>
<td style="text-align:left">12 feet</td>
<td style="text-align:left">12 feet</td>
</tr>
<tr>
<td style="text-align:left">2.</td>
<td style="text-align:left">Bed</td>
<td style="text-align:left">3.5 feet</td>
<td style="text-align:left">6 feet</td>
<td style="text-align:left">3 feet</td>
</tr>
<tr>
<td style="text-align:left">3.</td>
<td style="text-align:left">Table</td>
<td style="text-align:left">3 feet</td>
<td style="text-align:left">4 feet</td>
<td style="text-align:left">4 feet</td>
</tr>
<tr>
<td style="text-align:left">4.</td>
<td style="text-align:left">Chair</td>
<td style="text-align:left">2 feet</td>
<td style="text-align:left">2.5 feet</td>
<td style="text-align:left">4 feet</td>
</tr>
<tr>
<td style="text-align:left">5.</td>
<td style="text-align:left">Books</td>
<td style="text-align:left">12 inch</td>
<td style="text-align:left">6 inch</td>
<td style="text-align:left">3 inch</td>
</tr>
</tbody>
</table>
</div>
<p>======</p>
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<ol start="141">
<li>What would be the area of the room which is not covered by any object as mentioned above?</li>
</ol>
<p>(a) 176.5 sq. ft.</p>
<p>(b) 178 sq. ft.</p>
<p>(c) 367 sq. ft.</p>
<p>(d) 245.5 sq. ft.</p>
<h5 id="correct-answer--option-b">CORRECT ANSWER : OPTION B</h5>
</div>
<p>======</p>
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<ol start="142">
<li>What is the area of the table which is uncovered by any of the objects?</li>
</ol>
<p>(a) 1656 sq. inch</p>
<p>(b) 1617.52 sq. inch</p>
<p>(c) 1473.52 \mathrm{sq}. inch</p>
<p>(d) 1512 sq. inch</p>
<h5 id="correct-answer--option-c">CORRECT ANSWER : OPTION C</h5>
<p>143.How many tables are required to cover the floor surface of the room completely?</p>
<p>(a) 18</p>
<p>(b) 11</p>
<p>(c) 21</p>
<p>(d) Data inadequate.</p>
<h5 id="correct-answer--option-a">CORRECT ANSWER : OPTION A</h5>
<p>144.If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required.</p>
<p>(a) 2,00,736</p>
<p>(b) 20,736</p>
<p>(c) 11,736</p>
<p>(d) 17,522</p>
<h5 id="correct-answer--option-b-1">CORRECT ANSWER : OPTION B</h5>
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<p>======</p>
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<ol start="145">
<li>How many chairs can be put inside the room so as to cover the entire floor area of the room?</li>
</ol>
<p>(a) 40</p>
<p>(b) 21</p>
<p>(c) 43</p>
<p>(d) 18</p>
<h5 id="correct-answer--option-c-1">CORRECT ANSWER : OPTION C</h5>
<p>Direction: In the figure given below, a goat is tied to a pole (at point {O} ) which is the center of the semi -circular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal.</p>
<p><img src="https://temp-public-img-folder.s3.amazonaws.com/sathee.prutor.images/sathee_image/https___cdn_mathpix_com_cropped_2024_04_15_cf4ede03653c178adbb1g-156_jpg_height_428_width_577_top_left_y_471_top_left_x_731.jpg"></p>
</div>
<p>======</p>
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<ol start="146">
<li>The length of the rope is
a. $2+\pi
b. $2+\pi / 2
c. $2+2 / \pi
d. 2</li>
</ol>
<p>CORRECT ANSWER : OPTION C</p>
<p>147.The area of the plot is
a. 18.13
b. 21.83
c. 28.13
d. 11.83</p>
<p>CORRECT ANSWER : OPTION B</p>
<p>148.If a triangle is created by joining points A, B, and C. What will be the length of AB?
a. 3.73
b. 7.33
c. 1.86</p>
<p>d. Can’t be calculated with the given data</p>
<p>CORRECT ANSWER : OPTION A</p>
</div>
<p>======</p>
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<ol start="149">
<li>What will be the area of the triangle {ABC} ?
a. 6.96
b. 9.66
c. 3.66</li>
</ol>
<p>d. Can’t be calculated with the given data</p>
<p>CORRECT ANSWER : OPTION A</p>
<p>150.What will be the perimeter of the triangle $A B C$ ?
a. 40.4
b. 30.3
c. 20.2
d. 10.1</p>
<p>CORRECT ANSWER : OPTION D</p>
<h5 id="consortium-of-national-law-universities-common-law-admission-test-clat-2021">CONSORTIUM OF NATIONAL LAW UNIVERSITIES COMMON LAW ADMISSION TEST (CLAT) 2021</h5>
<p>National Law School of India University</p>
<p>Nagarbhavi, Bengaluru - 560072</p>
<p>Contact No. 08047162020</p>
<p>Email: <a href="mailto:clat@consortiumofnlus.ac.in">clat@consortiumofnlus.ac.in</a></p>
<p>Website: consortiumofnlus.ac.in</p>
<p>July 23, 2021</p>
<h5 id="notification-for-inviting-objections">NOTIFICATION FOR INVITING OBJECTIONS</h5>
<ul>
<li>Candidates who appeared in CLAT-2021 for UG and PG Programmes on July 23, 2021 may file their objections, if any, on Consortium website. The portal for objection(s) will open at 09:00 P.M. on July 23, 2021 and close at 09:00 P.M. on July 24, 2021.</li>
<li>After 09:00 P.M. on July 24, 2021 the link will be de-activated. No Objection(s) will be entertained thereafter.</li>
<li>Objection(s) received over email or phone calls will not be entertained.</li>
<li>A fee of Rs. 1,000/- (Rs. One Thousand only) is to be paid for each objection and if the objection turns out to be valid, the said fee will be refunded/remitted to the same account from which it was paid. No requests of depositing it in any other account will be entertained.</li>
<li>Objection(s) without the prescribed fee will not be entertained.</li>
</ul>
<h5 id="important-note-on-raising-objections">Important Note on Raising Objection(s):</h5>
<p>(a) Master Question Booklet and Master Answer Key will be uploaded on the Consortium website at 09:00 P.M. on July 23, 2021;</p>
<p>(b) Students shall tally the Question Number from their own Question Booklet (Note: there are four different series of Question Booklets) with the Master Question Booklet and raise Objection only on appropriate Question Number(s) from Master Question Booklet.</p>
<p>(c) If Candidates raise Objections on their own Question Booklet and the Question Number does not match with the Master Question Booklet, CLAT Office will not respond to such objection(s).</p>
<h5 id="process-of-raising-objections">Process of Raising Objection(s):</h5>
<ol>
<li>Login to you CLAT account and click on Submit Objections.</li>
<li>Click on Submit Object button.</li>
<li>Select the type of objection (1) About the question or (2) About the answer key.</li>
<li>Enter objection details and click on Submit Objection.</li>
<li>Once all your objections are submitted, click on the Make Payment button to make payment. There is a fee of INR 1,000/- (Rs. One Thousand only) per objection.</li>
</ol>
<p>{Sd} /-</p>
<p>Prof. (Dr.) Vijender Kumar, Convenor, CLAT-2021</p>