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		<title>Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?</title>
		<link>https://www.wikitechy.com/interview-questions/probability/tickets-numbered-1-to-20-are-mixed-up-and-then-a-ticket-is-drawn-at-random-what-is-the-probability-that-the-ticket-drawn-has-a-number-which-is-a-multiple-of-3-or-5/</link>
					<comments>https://www.wikitechy.com/interview-questions/probability/tickets-numbered-1-to-20-are-mixed-up-and-then-a-ticket-is-drawn-at-random-what-is-the-probability-that-the-ticket-drawn-has-a-number-which-is-a-multiple-of-3-or-5/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 01:48:27 +0000</pubDate>
				<category><![CDATA[Probability]]></category>
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		<category><![CDATA[Tickets numbered 1 to 20 are mixed up]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2032</guid>

					<description><![CDATA[Answer : D. 9/20...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1/2</p>
</div>
<div class="col-sm-6">
<p>B. 2/5</p>
</div>
<div class="col-sm-6">
<p>C. 8/12</p>
</div>
<div class="col-sm-6">
<p>D. 9/20</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-9-20"><b>Answer : </b>D. 9/20&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Here, S = {1, 2, 3, 4, 19, 20}.<br />
Let E = event of getting a multiple of 3 or 5<br />
= {3, 6 , 9, 12, 15, 18, 5, 10, 20}.<br />
P(E) = n(E) / n(S)<br />
= 9/20</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?</title>
		<link>https://www.wikitechy.com/interview-questions/probability/in-a-box-there-are-8-red-7-blue-and-6-green-balls-one-ball-is-picked-up-randomly-what-is-the-probability-that-it-is-neither-red-nor-green/</link>
					<comments>https://www.wikitechy.com/interview-questions/probability/in-a-box-there-are-8-red-7-blue-and-6-green-balls-one-ball-is-picked-up-randomly-what-is-the-probability-that-it-is-neither-red-nor-green/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 01:43:40 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2029</guid>

					<description><![CDATA[Answer : A. 1/3]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?</p>
<div class="row">
<div class="col-sm-4">
<p>A. 1/3</p>
</div>
<div class="col-sm-4">
<p>B. 3/4</p>
</div>
<div class="col-sm-4">
<p>C. 7/19</p>
</div>
<div class="col-sm-4">
<p>D. 8/21</p>
</div>
<div class="col-sm-4">
<p>E. 9/21</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-1-3"><b>Answer : </b>A. 1/3</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Total number of balls = (8 + 7 + 6) = 21.<br />
Let E = event that the ball drawn is neither red nor green<br />
= event that the ball drawn is blue.<br />
n(E) = 7<br />
P(E) = n(E)/n(S)<br />
= 7/21<br />
= 1/3</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Which of the following numbers is not divisible by 14 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-is-not-divisible-by-14/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-is-not-divisible-by-14/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:36:34 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1900</guid>

					<description><![CDATA[Answer : C. 1998]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Which of the following numbers is not divisible by 14 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 3542</p>
</div>
<div class="col-sm-6">
<p>B. 2086</p>
</div>
<div class="col-sm-6">
<p>C. 1998</p>
</div>
<div class="col-sm-6">
<p>D. 2996</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-1998"><b>Answer : </b>C. 1998</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>3542 / 14 = 253<br />
2086 / 14 = 149<br />
1998 / 14 = 142.714<br />
2996 / 14 = 214<br />
Option C is not divisible by 14</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-must-be-added-to-5678-to-give-a-reminder-35-when-divided-by-460/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/which-of-the-following-numbers-must-be-added-to-5678-to-give-a-reminder-35-when-divided-by-460/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:46:48 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1875</guid>

					<description><![CDATA[Answer : B. 797]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 980</p>
</div>
<div class="col-sm-6">
<p>B. 797</p>
</div>
<div class="col-sm-6">
<p>C. 955</p>
</div>
<div class="col-sm-6">
<p>D. 618</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-797"><b>Answer : </b>B. 797</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>If we remove the remainder from number, 5678-35 = 5643</li>
<li>5643 should be divisible by 460, means the unit digit must be 5 if we add any number from options.</li>
<li>The only number 797 can give the unit digit 5, So answer is 797.</li>
</ul>
</div>
</div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/a-number-is-divided-by-5-3-2-successively-in-order-to-get-remainders-of-0-2-1-respectively-what-will-be-the-remainder-when-the-same-number-is-divided-by-2-3-5-respectively/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:44:57 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1874</guid>

					<description><![CDATA[Answer : B. 1, 0, 4...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4, 3, 2</p>
</div>
<div class="col-sm-6">
<p>B. 1, 0, 4</p>
</div>
<div class="col-sm-6">
<p>C. 2, 1, 3</p>
</div>
<div class="col-sm-6">
<p>D. 4, 1, 2</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-1-0-4"><b>Answer : </b>B. 1, 0, 4&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p align="justify">Let the number = N.<br />
Now N = 5K<br />
K = 3L + 2<br />
L = 2M + 1<br />
K = 3 (2M + 1) + 2<br />
= 6M + 5<br />
N = 5 (6M + 5)<br />
= 30 M + 25.</p>
<p>For M = 0 we get the least number as 25. Now when 25 is divided by 2, we get 12 as quotient and 1 as remainder.<br />
When 12 is divided by 3 we get 4 as quotient, and 0 as remainder. When 4 is divided by 5 we get 4 as remainder.</p>
</div>
</div>
]]></content:encoded>
					
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		<title>A long thin strip of width 7cm is kept on a flat surface. Another identical strip is kept on it in an overlapping manner such that the combined width of the two is 11 cm. What is the width of 55 such strips kept like this ?</title>
		<link>https://www.wikitechy.com/interview-questions/puzzles/a-long-thin-strip-of-width-7cm-is-kept-on-a-flat-surface-another-identical-strip-is-kept-on-it-in-an-overlapping-manner-such-that-the-combined-width-of-the-two-is-11-cm-what-is-the-width-of-55-such/</link>
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		<pubDate>Fri, 06 Aug 2021 08:28:40 +0000</pubDate>
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					<description><![CDATA[Answer : 223...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A long thin strip of width 7cm is kept on a flat surface. Another identical strip is kept on it in an overlapping manner such that the combined width of the two is 11 cm. What is the width of 55 such strips kept like this ?</p>
</div>
</div>
<div class="Content">
<div class="hddn">
<p>11cm is combined width for 2 strips ,</p>
<p>11-7= 4cm is extra width for each overlapped strip.<br />
Hence 4*53 = 212 (Remaining 53 strips)<br />
212 + 11 = 223 (Previous 2 strips)</p>
</div>
</div>
]]></content:encoded>
					
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