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		<title>TCS Ninja Test pattern and Syllabus</title>
		<link>https://www.wikitechy.com/interview-questions/tcs-ninja/tcs-ninja-test-pattern-and-syllabus/</link>
					<comments>https://www.wikitechy.com/interview-questions/tcs-ninja/tcs-ninja-test-pattern-and-syllabus/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Sat, 28 Aug 2021 15:24:05 +0000</pubDate>
				<category><![CDATA[TCS Ninja]]></category>
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					<description><![CDATA[Answer : The test pattern for TCS enrollment 2021 is given below.]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<h2 id="tcs-ninja-test-pattern-and-syllabus" class="color-pink">TCS Ninja Test pattern and Syllabus</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>The test pattern for TCS enrollment 2021 is given below.</li>
</ul>
</div>
</div>
<div class="table-responsive">
<table class="table-bordered table-striped table table-responsive">
<tbody>
<tr>
<th>Section</th>
<th>Duration</th>
<th>No. of Questions</th>
</tr>
<tr>
<td><a href="https://www.wikitechy.com/interview-questions/verbal-ability/" target="_blank" rel="noopener">English</a></td>
<td>10 mins</td>
<td>10</td>
</tr>
<tr>
<td><a href="https://www.wikitechy.com/interview-questions/aptitude/" target="_blank" rel="noopener">Quantitative Aptitude</a></td>
<td>40 mins</td>
<td>20</td>
</tr>
<tr>
<td><a href="https://www.wikitechy.com/interview-questions/programming/" target="_blank" rel="noopener">Programming Concepts</a></td>
<td>20 mins</td>
<td>10</td>
</tr>
<tr>
<td><a href="https://www.wikitechy.com/interview-questions/programming/" target="_blank" rel="noopener">Coding</a></td>
<td>20 mins</td>
<td>1</td>
</tr>
</tbody>
</table>
</div>
<div class="Content">
<div class="hddn">
<p align="justify">At one time you clear the TCS online test, then students will be called for personal interview. Post the assessment, interview date and location will be communicated to the candidates personally.</p>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="tcs-ninja-off-campus-drive-syllabus" class="color-red">TCS Ninja Off Campus Drive &#8211; Syllabus</h2>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="tcs-ninja-quantitative-aptitude-syllabus" class="color-blue">TCS Ninja &#8211; Quantitative Aptitude Syllabus</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<div class="col-sm-6">
<ul>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/numbers/">Number system</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/lcm-and-hcf/">HCF &amp; LCM</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/time-and-distance/">Time, Speed &amp; Distance</a></li>
<li><a href="https://www.wikitechy.com/online-videos/aptitude-shortcuts-and-tricks/alligation-of-mixture-interview-questions-and-answers-part1">Mixtures &amp; Allegations</a></li>
<li><a href="https://www.wikitechy.com/online-videos/aptitude-shortcuts-and-tricks/time-and-work-interview-questions-and-answers-part1">Time &amp; Work, Percentages</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/permutation-and-combination/">Permutation &amp; Combination</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/profit-and-loss/">Profit &amp; Loss</a></li>
</ul>
</div>
<div class="col-sm-6">
<ul>
<li><a href="https://www.wikitechy.com/tutorials/c-programming/library-functions-in-c">Functions</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/logical-reasoning/number-series/16-24-48-120-360-1260">Series &amp; Progression</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/logarithm/the-equation-loga-x-loga">Equations</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/verbal-reasoning/blood-relation/p-q-means-p-is-sister-of-q">Blood Relations</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/">Algebra, Averages</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/geometry/a-polygon-has-77-diagonals-determine-the-number-of-sides">Geometry</a></li>
<li><a href="https://www.wikitechy.com/interview-questions/aptitude/">Clocks &amp; Calendar</a></li>
</ul>
</div>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="tcs-ninja-verbal-ability-syllabus" class="color-blue">TCS Ninja &#8211; Verbal Ability Syllabus</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>TCS Ninja<a href="https://www.wikitechy.com/interview-questions/verbal-ability/"> Verbal ability questions</a> will be based on Sentence Completion.</li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="tcs-ninja-programming-syllabus" class="color-blue">TCS Ninja Programming Syllabus</h2>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="programming-concepts" class="color-black">Programming Concepts:</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li><a href="https://www.wikitechy.com/technology/determine-first-last-iteration-foreach-loop/" target="_blank" rel="noopener">Iteration</a>, <a href="https://www.wikitechy.com/tutorials/r-programming/recursive-function" target="_blank" rel="noopener">recursion</a>, procedural vs<a href="https://www.wikitechy.com/interview-questions/cpp/what-are-the-oops-concepts" target="_blank" rel="noopener"> OOp</a>.</li>
<li><a href="https://www.wikitechy.com/interview-questions/c/" target="_blank" rel="noopener">C Language</a>:
<ul>
<li><a href="https://www.wikitechy.com/technology/tag/c-program-to-swap-two-numbers-using-call-by-value/" target="_blank" rel="noopener">Call by value</a>/<a href="https://www.wikitechy.com/tutorials/c++/call-by-reference-in-c++" target="_blank" rel="noopener">reference</a>, Basic and Derived <a href="https://www.wikitechy.com/tutorials/c-programming/c-data-type" target="_blank" rel="noopener">Data types</a>, Storage class, Scope and Visibility, <a href="https://www.wikitechy.com/tutorials/c-programming/what-is-pointer-in-c" target="_blank" rel="noopener">Basics of Pointers</a>, Basic header files, Library functions, Branching and <a href="https://www.wikitechy.com/tutorials/c-programming/loops-in-c" target="_blank" rel="noopener">Looping</a>, <a href="https://www.wikitechy.com/tutorials/c-programming/command-line-arguments-in-c" target="_blank" rel="noopener">Command line arguments</a>, <a href="https://www.wikitechy.com/tutorials/c-programming/c-library-and-user-define-functions" target="_blank" rel="noopener">User-defined functions</a>.</li>
</ul>
</li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="algorithms">Algorithms</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>Basic <a href="https://www.wikitechy.com/technology/binary-search-2/" target="_blank" rel="noopener">Search and Sort Algorithms</a> (<a href="https://www.wikitechy.com/technology/c-programming-tree-traversals-inorder-preorder-postorder/" target="_blank" rel="noopener">Tree traversal</a>, <a href="https://www.wikitechy.com/technology/category/algorithm/dynamic-programming/" target="_blank" rel="noopener">Dynamic Programming</a>, etc)</li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="data-structures">Data Structures:</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li><a href="https://www.wikitechy.com/tutorials/javascript/unique-values-in-an-array" target="_blank" rel="noopener">Array</a>, <a href="https://www.wikitechy.com/technology/queue-data-structure-implement-queue-using-stacks/" target="_blank" rel="noopener">Stack, Queue</a>, <a href="https://www.wikitechy.com/tutorials/c-programming/linked-list-in-c" target="_blank" rel="noopener">List</a> (Tree, <a href="https://www.wikitechy.com/tutorials/java/java-hash-table" target="_blank" rel="noopener">Hash table</a>, etc)</li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="coding" class="color-blue">Coding</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>TCS Ninja Coding Question with Solution -&gt; <a href="https://www.wikitechy.com/interview-questions/programming/" target="_blank" rel="noopener">Click Here</a></li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="instructions" class="color-green">Instructions</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>Only One question, 20 minutes.</li>
<li>Choice of <a href="https://www.wikitechy.com/engineering-interview-questions-and-answers/computer-science-engineering/c-programming-interview-questions-and-answers-part1">C </a>/<a href="https://www.wikitechy.com/engineering-interview-questions-and-answers/computer-science-engineering/cpp-interview-questions-and-answers-part1"> C++</a> / <a href="https://www.wikitechy.com/technology/java-programming-randomized-algorithms/">Java</a> /<a href="https://www.wikitechy.com/interview-questions/shell-script/what-is-the-difference-between-shell-script-and-perl"> Perl</a> /<a href="https://www.wikitechy.com/tutorials/python/python-coding-interview-questions-and-answers"> Python 2.7</a>.</li>
<li>Provided an IDE to debug.</li>
<li>For Java, the class name should be named Maze.</li>
<li>Input to the program either through STDIN / Command line arguments, as per the instructions.</li>
<li>Program should write the output to STDOUT.</li>
<li>Public and private test cases based evaluation.</li>
</ul>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul class="note">
<li>While printing the output no leading or trailing spaces should be printed.</li>
<li>Other than the required output, no other text should be printed.</li>
<li>If the output is a number, no leading sign must be printed unless it is a negative number.</li>
<li>No scientific notation (3.9265E + 2).</li>
<li>All floating point numbers must contain that many decimal places as mentioned in the question.</li>
</ul>
</div>
</div>
<div class="TextHeading">
<div class="hddn">
<h2 id="instructions-for-tcs-ninja-exam-pattern" class="color-green">Instructions for TCS Ninja exam pattern</h2>
</div>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>The test will progress as per specified in the above table. But <b>Once you move from one group to another, you cannot go back to the previous group</b>. For example, once you have moved to Quantitative Aptitude, you can’t go back to English and so on.</li>
<li>The timer shown on the test screen will show the time resting to complete each group. Each group has independent timers and when the timer start the first question present on the screen.</li>
<li>The <b>test period for each group is fixed</b>. For example: If you complete a group in limited time, the left over time will not be carried to the remaining groups.</li>
<li>At the end of every group <b>Click SUBMIT</b> to move to the next group.</li>
</ul>
</div>
</div>
]]></content:encoded>
					
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			</item>
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		<title>George does 3/5th of a piece of work in 9 days. He then calls Paul and they finish the work in 4 days. How long would Paul take to do the work by himself ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/george-does-3-5th-of-a-piece-of-work-in-9-days-he-then-calls-paul-and-they-finish-the-work-in-4-days-how-long-would-paul-take-to-do-the-work-by-himself/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/george-does-3-5th-of-a-piece-of-work-in-9-days-he-then-calls-paul-and-they-finish-the-work-in-4-days-how-long-would-paul-take-to-do-the-work-by-himself/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:12:58 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2093</guid>

					<description><![CDATA[Answer : C . 30]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">George does 3/5<sup>th</sup> of a piece of work in 9 days. He then calls Paul and they finish the work in 4 days. How long would Paul take to do the work by himself ?</p>
<div class="row">
<div class="col-sm-6">
<p>A . 28</p>
</div>
<div class="col-sm-6">
<p>B . 32</p>
</div>
<div class="col-sm-6">
<p>C . 30</p>
</div>
<div class="col-sm-6">
<p>D . 35</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-30"><b>Answer : </b>C . 30</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>George 9 days work = 3/5<br />
George 1 days work = 3/5 * 9<br />
= 1/15.<br />
George and Paul 4 days work = 2/5<br />
George and Paul 1 days work = 2/5 * 4<br />
= 1/10.<br />
Paul 1 days work = George and Paul 1 days work &#8211; George 1 days work<br />
= 1/10 &#8211; 1/15<br />
= 1/30</p>
<p>So Paul takes <b>30 days</b> to complete work.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/the-ratio-of-efficiency-of-a-is-to-c-is-53-the-ratio-of-no-of-days-taken-by-b-is-to-c-is-23-a-takes-6-days-less-than-c-when-a-and-c-completes-the-work-individually-b-and-c-left-the-work-after-2/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:11:34 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2092</guid>

					<description><![CDATA[Answer : C. 6]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The ratio of efficiency of A is to C is 5:3. The ratio of no.of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C left the work after 2 days. The no of days taken by A to finish the remaining work ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4.5</p>
</div>
<div class="col-sm-6">
<p>B. 5</p>
</div>
<div class="col-sm-6">
<p>C. 6</p>
</div>
<div class="col-sm-6">
<p>D. 28/3</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-6"><b>Answer : </b>C. 6</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li style="list-style-type: none;">
<ul>
<li>A : C
<ul>
<li style="list-style-type: none;">
<ul>Efficiency of A and C = 5 : 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>The Ratio of Work done is 3 : 5 = 3x : 5x</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Given:</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Difference between A&#8217;s and C&#8217;s work done is 6 days so,</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>5x &#8211; 3x = 6</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>x = 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Number of days taken by A = 3 * 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>9 Days</b></p>
<ul>
<li style="list-style-type: none;">
<ul>Number of days taken by C = 5 * 3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>15 Days</b></li>
<li>B : C
<ul>
<li style="list-style-type: none;">
<ul>Ratio of work done of B and C = 2:3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>As we have calculated C&#8217;s total work done in 15 days so,</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>3x = 15 days</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>x = 5</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Therefore, Number of days taken by B = 2 * 5</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>10 Days</b></p>
<ul>
<li style="list-style-type: none;">
<ul>Now we have total work done by a ,b and c in 9, 10 and 15 days respectively</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Work done by B and C in initial 2 days = 2 * [ 1/10 + 1/15 ]</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>= 1/3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Thus, Remaining work = 1 &#8211; 1/3</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>2/3</b></li>
</ul>
</li>
</ul>
<p>A do total work in 9 days so, 2/3 work is done in (9 * 2/3) = <b>6 days</b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/y-can-do-a-work-in-2-3-the-time-it-takes-x-z-can-do-same-work-in-3-4-time-it-takes-y-when-all-three-are-typing-the-same-time-what-is-the-fraction-of-total-work-does-y-do/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:09:36 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2091</guid>

					<description><![CDATA[Answer : A . 4/13]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Y can do a work in 2/3 the time it takes x, z can do same work in 3/4 time it takes y. when all three are typing the same time what is the fraction of total work does y do ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4/13</p>
</div>
<div class="col-sm-6">
<p>B. 8/29</p>
</div>
<div class="col-sm-6">
<p>C. 1/3</p>
</div>
<div class="col-sm-6">
<p>D. 9/23</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-4-13"><b>Answer : </b>A . 4/13</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<p>&nbsp;</p>
<div class="Content">
<div class="hddn">
<p>Time Taken by Y = (2 * 100) / 3<br />
= 66.66 unit.</p>
<p>Time taken by Z = (3 * 66.66) / 4<br />
= 50 unit.</p>
<p>Ratio of time of X, Y and Z =<b> 100 : 66.66 : 50</b></p>
<p>Fraction of work Y do = 66.66 / (100 + 66.66 + 50)<br />
= 0.307<br />
=<b> 4/13</b>.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/a-b-and-c-can-do-a-piece-of-work-in-20-30-and-60-days-respectively-in-how-many-days-can-a-do-the-work-if-he-is-assisted-by-b-and-c-on-every-third-day/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/a-b-and-c-can-do-a-piece-of-work-in-20-30-and-60-days-respectively-in-how-many-days-can-a-do-the-work-if-he-is-assisted-by-b-and-c-on-every-third-day/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:08:04 +0000</pubDate>
				<category><![CDATA[Time and Work]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2090</guid>

					<description><![CDATA[Answer : C. 15]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 18</p>
</div>
<div class="col-sm-6">
<p>B. 12</p>
</div>
<div class="col-sm-6">
<p>C. 15</p>
</div>
<div class="col-sm-6">
<p>D. 14</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-15"><b>Answer : </b>C. 15</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>A&#8217;s 2 day&#8217;s work = 1/20 x 2<br />
= 1/10<br />
(A + B + C) 1 day&#8217;s Work = (1/20 + 1/30 + 1/60)<br />
= 6/60<br />
= 1/10<br />
Now,<br />
Work done in 3 days = (1/10) + (1/10)<br />
= 1/5<br />
Now 1/5 work is done in 3 days.<br />
Now whole work will be done in <b>3 * 5 = 15 days</b>.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Babla alone can do a piece of work in 10 days ashu alone can do it in 15 days. The total wages for the work in Rs.5000. How much should babla be paid of they work together for entire duration of the work ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/babla-alone-can-do-a-piece-of-work-in-10-days-ashu-alone-can-do-it-in-15-days-the-total-wages-for-the-work-in-rs-5000-how-much-should-babla-be-paid-of-they-work-together-for-entire-duration-of-the-w/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/babla-alone-can-do-a-piece-of-work-in-10-days-ashu-alone-can-do-it-in-15-days-the-total-wages-for-the-work-in-rs-5000-how-much-should-babla-be-paid-of-they-work-together-for-entire-duration-of-the-w/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:06:59 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2089</guid>

					<description><![CDATA[Answer : B. 3000]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Babla alone can do a piece of work in 10 days ashu alone can do it in 15 days. The total wages for the work in Rs.5000. How much should babla be paid if they work together for entire duration of the work ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4000</p>
</div>
<div class="col-sm-6">
<p>B. 3000</p>
</div>
<div class="col-sm-6">
<p>C. 5000</p>
</div>
<div class="col-sm-6">
<p>D. 2000</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-3000"><b>Answer : </b>B. 3000</h3>
<div class="subheading">
<h2 id="explanation-1">Explanation 1:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Babla work = 1/10<br />
Ashu work = 1/15<br />
Total work = 1/10 + 1/15<br />
= 5/30<br />
= 6 days.</p>
<p>Total amount to be paid for Babla = 6/10 * 5000<br />
= <b>3000</b></p>
</div>
</div>
<div class="subheading">
<h2 id="explanation-2">Explanation 2:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Money should always be divided in the inversely proportion way.<br />
So Babla will get money = 15 / (15 + 10) × 5000<br />
=<b> 3000</b></p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A Certain sum of money is sufficient to pay either George&#8217;s wage for 15 days or Mark&#8217;s wages for 10 days. For how long will it be sufficient if both George and Mark work together ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:05:03 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2088</guid>

					<description><![CDATA[Answer : B. 6]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A Certain sum of money is sufficient to pay either George&#8217;s wage for 15 days or Mark&#8217;s wages for 10 days. For how long will it be sufficient if both George and Mark work together ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 5</p>
</div>
<div class="col-sm-6">
<p>B. 6</p>
</div>
<div class="col-sm-6">
<p>C. 8</p>
</div>
<div class="col-sm-6">
<p>D. 9</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-6"><b>Answer : </b>B. 6</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>The money can pay George&#8217;s wage for 15 days<br />
1 Day = 1/15 of the money</p>
<p>The money can pay Mark&#8217;s wage 10 for days<br />
1 Day = 1/10 of the money</p>
<p>Find the Amount of money needed if both of them worked together:<br />
1 Day = 1/15 + 1/10<br />
= 1/6 of the money</p>
<p>Number of days the money can last:<br />
1/6 of the money = 1 day<br />
6/6 of the money = 1 x 6<br />
= <b>6 days</b></p>
</div>
</div>
]]></content:encoded>
					
					<wfw:commentRss>https://www.wikitechy.com/interview-questions/time-and-work/a-certain-sum-of-money-is-sufficient-to-pay-either-georges-wage-for-15-days-or-marks-wages-for-10-days-for-how-long-will-it-be-sufficient-if-both-george-and-mark-work-together/feed/</wfw:commentRss>
			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/a-alone-can-do-1-4th-of-the-work-in-2-days-b-alone-can-do-2-3rd-of-the-work-in-4-days-if-all-the-three-work-together-they-can-complete-it-in-3-days-so-what-part-of-the-work-will-be-completed-by-c-i/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:03:11 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2087</guid>

					<description><![CDATA[Answer : A. 1/12]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A alone can do 1/4<sup>th</sup> of the work in 2 days. B alone can do 2/3<sup>rd</sup> of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1/12</p>
</div>
<div class="col-sm-6">
<p>B. 1/8</p>
</div>
<div class="col-sm-6">
<p>C. 1/6</p>
</div>
<div class="col-sm-6">
<p>D. 1/20</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-1-12"><b>Answer : </b>A. 1/12</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>A can do the total work in 8 days, and B can do it in 6 days.</p>
<p>Let the total work be 24 units.</p>
<p>Now,<br />
A = 24/8 = 3<br />
B = 24/6 = 4<br />
A + B + C = 24/3 = 8</p>
<p>So Capacity of C = 1 unit.<br />
In two days C will do 2 units which is 2/24<sup>th</sup> part of the total work. So <b>1/12<sup>th</sup></b> part.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:01:27 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2086</guid>

					<description><![CDATA[Answer : A. 48]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 48</p>
</div>
<div class="col-sm-6">
<p>B. 96</p>
</div>
<div class="col-sm-6">
<p>C. 24</p>
</div>
<div class="col-sm-6">
<p>D. 32</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-48"><b>Answer : </b>A. 48</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>As Jake , Paul and Hari can dig the well in 8 days,<br />
Jack one day work = 1/16<br />
Paul one day work = 1/24<br />
Hari one day work = 1/x</p>
<p>Given,<br />
(Jake, Paul and hari) 1 day work = 1/8</p>
<p>So, 1/16 + 1/24 + 1/x = 1/8<br />
5/48 + 1/x = 1/8<br />
1/x = 1/8 &#8211; 5/48<br />
1/x = (6 &#8211; 5) / 48<br />
= 1/48<br />
1/x = 1/48</p>
<p>Therefore, Paul can finished work in <b>48 days</b>.</p>
</div>
</div>
]]></content:encoded>
					
					<wfw:commentRss>https://www.wikitechy.com/interview-questions/time-and-work/jake-can-dig-a-well-in-16-days-paul-can-dig-the-same-well-in-24-days-jake-paul-and-hari-together-dig-the-well-in-8-days-hari-alone-can-dig-the-well-in/feed/</wfw:commentRss>
			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Thomas takes 7 days to paint a house completely whereas raj requires 9 days to paint the same house completely. how many days will take to paint the house if both them work together ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/thomas-takes-7-days-to-paint-a-house-completely-whereas-raj-requires-9-days-to-paint-the-same-house-completely-how-many-days-will-take-to-paint-the-house-if-both-them-work-together/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/thomas-takes-7-days-to-paint-a-house-completely-whereas-raj-requires-9-days-to-paint-the-same-house-completely-how-many-days-will-take-to-paint-the-house-if-both-them-work-together/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 03:00:03 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2085</guid>

					<description><![CDATA[Answer : C. 4]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Thomas takes 7 days to paint a house completely whereas raj requires 9 days to paint the same house completely. how many days will take to paint the house if both them work together ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 3</p>
</div>
<div class="col-sm-6">
<p>B. 5</p>
</div>
<div class="col-sm-6">
<p>C. 4</p>
</div>
<div class="col-sm-6">
<p>D. 8</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-4"><b>Answer : </b>C. 4</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>No. of days taken by Thomas = 7 days.<br />
So work done by thomas in a day = 1/7</p>
<p>No. of days taken by Raj = 9 days.<br />
Work done by other in a day = 1/9</p>
<p>Work done by both in a day = 1/t</p>
<p>1/7 + 1/9 = 1/t<br />
16/63 = 1/t.<br />
16t = 63.<br />
Days required by both (t) = 63/16.</p>
<p>Total no. of days taken to paint the house is (approx.) = <b>4 days</b> .</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-work/4-men-can-check-exam-papers-in-8-days-working-5-hours-regularly-what-is-the-total-hours-when-2-men-will-check-the-double-of-the-papers-in-20-days/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-work/4-men-can-check-exam-papers-in-8-days-working-5-hours-regularly-what-is-the-total-hours-when-2-men-will-check-the-double-of-the-papers-in-20-days/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 02:58:28 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2084</guid>

					<description><![CDATA[Answer : A. 8 hours]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 8 hours</p>
</div>
<div class="col-sm-6">
<p>B. 9 hours</p>
</div>
<div class="col-sm-6">
<p>C. 7 hours</p>
</div>
<div class="col-sm-6">
<p>D. 11 hours</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-8-hours"><b>Answer : </b>A. 8 hours</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li style="list-style-type: none;">
<ul>Let a man can do 1 unit of work in 1 hour.</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Total units of work = 4 * 8 * 5 = 160 units.</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Now work = 2 * 160 = 320 units</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Now 2 men work for 20 days. Let in x hours they have to work per day.</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Now total work = 2 * x * 20 = 40x</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>40x = 320</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>So x = 320/40</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>
<li style="list-style-type: none;">
<ul>=</ul>
</li>
</ul>
<p><b>8 hours</b></li>
</ul>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Which of the following graph indicates the graph of {(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/which-of-the-following-graph-indicates-the-graph-of-sin-t-cos-t-%cf%80-2-%e2%89%a4-t-%e2%89%a4-0-in-xy-plane/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/which-of-the-following-graph-indicates-the-graph-of-sin-t-cos-t-%cf%80-2-%e2%89%a4-t-%e2%89%a4-0-in-xy-plane/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 16:13:15 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1818</guid>

					<description><![CDATA[Answer : C. b]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Which of the following graph indicates the graph of {(sin t, cos t):- π/2 ≤ t ≤ 0} in xy-plane ?</p>
<div class="ImageContent">
<div class="hddn"><img decoding="async" class="img-responsive center-block" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/plane-geometry.png" alt="Plane Geometry" /></div>
</div>
<div class="row">
<div class="col-sm-6">
<p>A. d</p>
</div>
<div class="col-sm-6">
<p>B. c</p>
</div>
<div class="col-sm-6">
<p>C. b</p>
</div>
<div class="col-sm-6">
<p>D. a</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-b"><b>Answer : </b>C. b</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li style="list-style-type: none;">
<ul>When t = -90 then (sin t, cos t) = (-1,0)</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>When t=0 then (sin t, cos t) = (0,1)</ul>
</li>
</ul>
<ul>Plot above two points in x-y plane.</ul>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>What is the radius of the circular plate of thickness 1 cm made by melting a sphere of radius 3 cm ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/what-is-the-radius-of-the-circular-plate-of-thickness-1-cm-made-by-melting-a-sphere-of-radius-3-cm/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/what-is-the-radius-of-the-circular-plate-of-thickness-1-cm-made-by-melting-a-sphere-of-radius-3-cm/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 16:11:06 +0000</pubDate>
				<category><![CDATA[Geometry]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1817</guid>

					<description><![CDATA[Answer : A. 6 cm]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">What is the radius of the circular plate of thickness 1 cm made by melting a sphere of radius 3 cm ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 6 cm</p>
</div>
<div class="col-sm-6">
<p>B. 5 cm</p>
</div>
<div class="col-sm-6">
<p>C. 4 cm</p>
</div>
<div class="col-sm-6">
<p>D. 7 cm</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-6-cm"><b>Answer : </b>A. 6 cm</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Given that radius of sphere r = 3 cm<br />
Given that thickness of the plate h = 1 cm</p>
<p>Given that a sphere is melt to produce a circular plate.<br />
Since nothing is added or subtraced then volume of sphere and circular plate both will be equal.<br />
Volume of sphere <img decoding="async" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/geometry-formulas.png" /><br />
Volume of circular plate <img decoding="async" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/geometry-basics.png" /><br />
set both volumes equal to each other<br />
<img decoding="async" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/geometry-math.png" /><br />
<img decoding="async" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/geometry-angles.png" /><br />
<img decoding="async" src="https://cdn.wikitechy.com/interview-questions/aptitude/geometry/geometry.png" /><br />
36 = r<sup>2</sup><br />
6 = r<br />
Hence the radius is <b>6 cm.</b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>In triangle PQR, PQ = 6 cm, PR = 8 cm, and QR = 12 cm. Calculate the area of the triangle PQR ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/in-triangle-pqr-pq-6-cm-pr-8-cm-and-qr-12-cm-calculate-the-area-of-the-triangle-pqr/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/in-triangle-pqr-pq-6-cm-pr-8-cm-and-qr-12-cm-calculate-the-area-of-the-triangle-pqr/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 16:07:57 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1814</guid>

					<description><![CDATA[Answer : C. 21.33 cm2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">In triangle PQR, PQ = 6 cm, PR = 8 cm, and QR = 12 cm. Calculate the area of the triangle PQR ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 23.33 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>B. 17.5 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>C. 21.33 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>D. 28.67 cm<sup>2</sup></p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-21-33-cm2"><b>Answer : </b>C. 21.33 cm<sup>2</sup></h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li style="list-style-type: none;">
<ul>In triangle PQR, by using heron&#8217;s formula</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>S = P + Q + R / 2</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>S = 6 + 8 + 12 / 2</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>= 26 / 2 = 13</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>S = 13</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Area of the triangle PQR = sqrt ( S (S &#8211; P) * (S &#8211; Q) * (S &#8211; R) )</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>= sqrt ( 13 (13 &#8211; 6) * (13 &#8211; 8) * (13 &#8211; 12) )</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>= sqrt ( 455 )</ul>
</li>
</ul>
<ul>
<li style="list-style-type: none;">
<ul>Area of the triangle PQR =</ul>
</li>
</ul>
<p><b>21.33 cm<sup>2</sup></b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively.Calculate the area of the rectangular field ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/if-the-perimeter-and-the-diagonal-of-a-rectangle-is-18-cm-and-%e2%88%9a41-cm-respectively-calculate-the-area-of-the-rectangular-field/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/if-the-perimeter-and-the-diagonal-of-a-rectangle-is-18-cm-and-%e2%88%9a41-cm-respectively-calculate-the-area-of-the-rectangular-field/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 16:04:28 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1813</guid>

					<description><![CDATA[Answer : D. 20 cm2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">If the perimeter and the diagonal of a rectangle is 18 cm and √41 cm respectively. Calculate the area of the rectangular field ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 25 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>B. 29 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>C. 18 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>D. 20 cm<sup>2</sup></p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-20-cm2"><b>Answer : </b>D. 20 cm<sup>2</sup></h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p><b>Perimeter of rectangle = 18 cm</b><br />
2 ( l + b ) = 18 cm<br />
l + b = 18 / 2<br />
= 9 cm<br />
l + b = 9 cm</p>
<p><b>Diagonal of rectangle = √41 cm</b><br />
We know that, Diagonal of rectangle = √ [ ( length )<sup>2</sup> + ( breadth )<sup>2</sup> ]
√( l<sup>2</sup> + b<sup>2</sup>) = √41<br />
l<sup>2</sup> + b<sup>2</sup> = ( √41 )<sup>2</sup><br />
l<sup>2</sup> + b<sup>2</sup> = 41<br />
l<sup>2</sup> + b<sup>2</sup> + 2 lb &#8211; 2 lb = 41<br />
( l + b )<sup>2</sup> &#8211; 2 lb = 41</p>
<p>Since , we have <b>l + b = 9 </b>, so now<br />
( 9 )<sup>2</sup> &#8211; 2 l b = 41<br />
81 &#8211; 2 lb = 41<br />
2 lb = 81 &#8211; 41<br />
2 lb = 40<br />
lb = 40 / 2 = 20 cm <sup>2</sup><br />
l × b = 20 cm<sup>2</sup><br />
Therefore, <b>area of rectangular field = 20 cm<sup>2</sup></b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
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		<title>Find the area of Rhombus one of whose diagonals measures 8 cm and the other 10 cm ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/find-the-area-of-rhombus-one-of-whose-diagonals-measures-8-cm-and-the-other-10-cm/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/find-the-area-of-rhombus-one-of-whose-diagonals-measures-8-cm-and-the-other-10-cm/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 16:01:16 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1812</guid>

					<description><![CDATA[Answer : C. 40 cm2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Find the area of Rhombus one of whose diagonals measures 8 cm and the other 10 cm ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 47 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>B. 34 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>C. 40 cm<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>D. 64 cm<sup>2</sup></p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-40-cm2"><b>Answer : </b>C. 40 cm<sup>2</sup></h3>
<div class="subheading">
<h2 id="explanation-1">Explanation 1:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Area of triangle formula = 1/2*(base)*(height)<br />
Area of one triangle = 1/2 * (4) * (5)<br />
= 10 cm<sup>2</sup>.</p>
<p>Total area of rhombus = 4 * area of one triangle<br />
= 4 * 10<br />
= <b>40 cm<sup>2</sup></b></p>
</div>
</div>
<div class="subheading">
<h2 id="explanation-2">Explanation 2:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Area of a rhombus is = 1/2 * (length of one diagonal) * (length of another diagonal)<br />
= 1/2 * 8 * 10 cm<sup>2</sup><br />
= <b>40 cm<sup>2</sup></b></p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>Determine the metal required to make a 21 m long pipe if its inner and outer diameter is 12 m and 10 m respectively ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/determine-the-metal-required-to-make-a-21-m-long-pipe-if-its-inner-and-outer-diameter-is-12-m-and-10-m-respectively/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/determine-the-metal-required-to-make-a-21-m-long-pipe-if-its-inner-and-outer-diameter-is-12-m-and-10-m-respectively/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:58:43 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1811</guid>

					<description><![CDATA[Answer : A. 725 m3]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Determine the metal required to make a 21 m long pipe if its inner and outer diameter is 12 m and 10 m respectively ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 725 m<sup>3</sup></p>
</div>
<div class="col-sm-6">
<p>B. 2534 m<sup>3</sup></p>
</div>
<div class="col-sm-6">
<p>C. 2843 m<sup>3</sup></p>
</div>
<div class="col-sm-6">
<p>D. 2647 m<sup>3</sup></p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-725-m3"><b>Answer : </b>A. 725 m<sup>3</sup></h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<h3 id="find-the-volume-with-diameter-12-m" class="color-green">Find the volume with diameter = 12 m</h3>
<p>Radius = Diameter ÷ 2<br />
Radius = 12 ÷ 2 = 6 m<br />
Volume = π * r<sup>2</sup> * h<br />
Volume = π * (6)<sup>2</sup> * 21<br />
<b>V<sub>1</sub> = 2,375 m<sup>3</sup></b></p>
<h3 id="find-the-volume-with-diameter-10-m" class="color-green">Find the volume with diameter = 10 m</h3>
<p>Radius = Diameter ÷ 2<br />
Radius = 10 ÷ 2 = 5 m<br />
Volume = π * r<sup>2</sup> * h<br />
Volume = π * (5)<sup>2</sup> * 21<br />
<b>V<sub>2</sub> = 1650 m<sup>3</sup></b></p>
<h3 id="find-the-volume-of-the-metal-used" class="color-green">Find the volume of the metal used:</h3>
<p>Volume = V<sub>1</sub> &#8211; V<sub>2</sub><br />
= 2,375 &#8211; 1650<br />
<b>Volume = 725 m<sup>3</sup></b></p>
</div>
</div>
]]></content:encoded>
					
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		<title>An oblong piece of ground measures 19m 2.5dm by 12m 5dm.From center of each side of the ground, a path 2m wide goesacross to the center of the opposite side.What is the area of the path ?</title>
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					<comments>https://www.wikitechy.com/interview-questions/geometry/an-oblong-piece-of-ground-measures-19m-2-5dm-by-12m-5dm-from-center-of-each-side-of-the-ground-a-path-2m-wide-goesacross-to-the-center-of-the-opposite-side-what-is-the-area-of-the-path/#respond</comments>
		
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1810</guid>

					<description><![CDATA[Answer : C. 78.54 m2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">An oblong piece of ground measures 19m 2.5dm by 12m 5dm.From center of each side of the ground, a path 2m wide goesacross to the center of the opposite side.What is the area of the path ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 59.5 m<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>B. 54 m<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>C. 78.54 m<sup>2</sup></p>
</div>
<div class="col-sm-6">
<p>D. 34 m<sup>2</sup></p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-78-54-m2"><b>Answer : </b>C. 78.54 m<sup>2</sup></h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Area of path horizontal = 20 * 192.5<br />
= <b>3850 dm<sup>2</sup></b><br />
Area of path vertical = 20 * 125<br />
= <b>2500 dm<sup>2</sup></b><br />
Since center path is covered twice so total area,<br />
= (3850 + 2500) &#8211; (20 * 20)<br />
<b>= 5950 dm<sup>2</sup></b><br />
Total cost = 1.32 * 59.5 m<sup>2</sup><br />
= <b>78.54 m<sup>2</sup></b></p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A square field of area 31684 m2 is to be enclosed with the wireplaced at height 1 m, 2 m, 3 m, 4 m above the ground. What length of the wire will be required if its length required for each circuit is 5% greater than the perimeter of the field ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/a-square-field-of-area-31684-m2-is-to-be-enclosed-with-the-wireplaced-at-height-1-m-2-m-3-m-4-m-above-the-ground-what-length-of-the-wire-will-be-required-if-its-length-required-for-each-circuit-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/a-square-field-of-area-31684-m2-is-to-be-enclosed-with-the-wireplaced-at-height-1-m-2-m-3-m-4-m-above-the-ground-what-length-of-the-wire-will-be-required-if-its-length-required-for-each-circuit-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:42:03 +0000</pubDate>
				<category><![CDATA[Geometry]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1809</guid>

					<description><![CDATA[Answer : C. 2990.4 m]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A square field of area 31684 m<sup>2</sup> is to be enclosed with the wireplaced at height 1 m, 2 m, 3 m, 4 m above the ground. What length of the wire will be required if its length required for each circuit is 5% greater than the perimeter of the field ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 6456 m</p>
</div>
<div class="col-sm-6">
<p>B. 27666 m</p>
</div>
<div class="col-sm-6">
<p>C. 2990.4 m</p>
</div>
<div class="col-sm-6">
<p>D. 14</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-2990-4-m"><b>Answer : </b>C. 2990.4 m</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p class="color-green"><strong>Given that a square field is to be enclosed by four wires at height 1m, 2m, 3m and 4m.</strong></p>
<p><b>Area of the square field = 31684 m<sup>2</sup></b><br />
Let&#8217;s find the perimeter of square</p>
<p><strong>As we know</strong></p>
<p><b>Area of square = x<sup>2</sup></b><br />
So,<br />
x<sup>2</sup> = 31684 m<sup>2</sup><br />
Taking square root on both sides<br />
√x<sup>2</sup> = √31684 m<sup>2</sup><br />
x = 178 m<br />
So, the length of one side of square is x = 178 m</p>
<p class="color-green"><strong>As we know the perimeter of the square is calculated as</strong></p>
<p>P = 4x<br />
P = 4 * 178<br />
P = 712 m</p>
<p class="color-green"><strong>Given that length of wire for each circuit is 5% more than the length of perimeter of square. So,</strong></p>
<p><b>Length of wire = Length of perimeter  + 5% of Length of perimeter  </b><br />
l = 712 + 0.05 * 712<br />
l = 712 + 35.6<br />
l = 747.6 m</p>
<p class="color-green"><strong>As we need to enclose the square field by wires four times at different height; therefore,</strong></p>
<p>Total Length of wire = 4l<br />
Total Length of wire = 4 * 747.6<br />
Total Length of wire = 2990.4 m</p>
<p>So, total length of wire is <b>2990.4 m</b></p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
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		<title>A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside. Find the area of the path ?</title>
		<link>https://www.wikitechy.com/interview-questions/geometry/a-rectangular-grassy-plot-is-112-m-by-78-m-it-has-a-gravel-path-2-5-m-m-wide-all-around-it-on-the-inside-find-the-area-of-the-path/</link>
					<comments>https://www.wikitechy.com/interview-questions/geometry/a-rectangular-grassy-plot-is-112-m-by-78-m-it-has-a-gravel-path-2-5-m-m-wide-all-around-it-on-the-inside-find-the-area-of-the-path/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:39:25 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1808</guid>

					<description><![CDATA[Answer : B. 925 m²]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A rectangular grassy plot is 112 m by 78 m. It has a gravel path 2.5 m m wide all around it on the inside.Find the area of the path ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 952 m²</p>
</div>
<div class="col-sm-6">
<p>B. 925 m²</p>
</div>
<div class="col-sm-6">
<p>C. 912 m²</p>
</div>
<div class="col-sm-6">
<p>D. 950 m²</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-925-m%c2%b2"><b>Answer : </b>B. 925 m²</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Outer length of the grassy plot = 112 m<br />
Outer breadth of the plot = 78 m</p>
<p>Outer area of the plot = 112 x 78<br />
= 8736 sq m<br />
Width of the path = 2.5 m</p>
<p>Inner length of the plot = 112 &#8211; (2 x 2.5)<br />
= 107 m<br />
Inner breadth of the plot = 78 &#8211; (2 x 2.5)<br />
= 73 m</p>
<p>Inner area of the plot = 107 x 73<br />
= 7811 sq m</p>
<p>Area of the path = Outer area of the plot &#8211; inner area of the plot<br />
= 8736 &#8211; 7811<br />
<b>= 925 m²</b></p>
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