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		<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>
				<category><![CDATA[Numbers]]></category>
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					<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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