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		<title>A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 21:19:07 +0000</pubDate>
				<category><![CDATA[Time and Distance]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1964</guid>

					<description><![CDATA[Answer : D. 3 hrs]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 2.5 hrs</p>
</div>
<div class="col-sm-6">
<p>B. 3.5 hrs</p>
</div>
<div class="col-sm-6">
<p>C. 4.5 hrs</p>
</div>
<div class="col-sm-6">
<p>D. 3 hrs</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-3-hrs"><b>Answer : </b>D. 3 hrs</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>9x/12x = 9/12<br />
Time = Distance / Speed<br />
4 = 360/9x<br />
so x = 10<br />
12x = 120<br />
Time taken by car b = 360/120 =3 hour</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Consider the following quotients : 1) 368.39 divided by 17 2) 170.50 divided by 62 3) 875.65 divided by 83 Their correct sequence in decreasing order is :</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/consider-the-following-quotients-1-368-39-divided-by-17-2-170-50-divided-by-62-3-875-65-divided-by-83-their-correct-sequence-in-decreasing-order-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/consider-the-following-quotients-1-368-39-divided-by-17-2-170-50-divided-by-62-3-875-65-divided-by-83-their-correct-sequence-in-decreasing-order-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:34:22 +0000</pubDate>
				<category><![CDATA[Numbers]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1899</guid>

					<description><![CDATA[Answer : A. 1, 3, 2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Consider the following quotients :<br />
1) 368.39 divided by 17<br />
2) 170.50 divided by 62<br />
3) 875.65 divided by 83<br />
Their correct sequence in decreasing order is :</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1, 3, 2</p>
</div>
<div class="col-sm-6">
<p>B. 2, 1, 3</p>
</div>
<div class="col-sm-6">
<p>C. 2, 3, 1</p>
</div>
<div class="col-sm-6">
<p>D. 3, 1, 2</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-1-3-2"><b>Answer : </b>A. 1, 3, 2</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>36839/17 = 2167, Dividend contains 2 places of decimal.<br />
So, 368.39 / 17 = 21.67</li>
<li>17050/62 = 275, Dividend contains 2 places of decimal.<br />
So, 70.50/62 = 2.75</li>
<li>87565/83 = 1055, Dividend contains 2 places of decimal.<br />
So, 875.65/83 = 10.55</li>
</ul>
</div>
</div>
<p>Since 21.67 &gt; 10.55 &gt; 2.75. The desired order is 1, 3, 2.</p>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
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		<title>By what number should be 86700 divided to make it a perfect square ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/by-what-number-should-be-86700-divided-to-make-it-a-perfect-square/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/by-what-number-should-be-86700-divided-to-make-it-a-perfect-square/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:32:58 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1898</guid>

					<description><![CDATA[Answer : A. 3]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">By what number should be 86700 divided to make it a perfect square ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 3</p>
</div>
<div class="col-sm-6">
<p>B. 2</p>
</div>
<div class="col-sm-6">
<p>C. 5</p>
</div>
<div class="col-sm-6">
<p>D. 4</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-3"><b>Answer : </b>A. 3</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Divide 86700 by 3 = 28900<br />
The square root of 28900 = √28900<br />
= 170 is the perfect square</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>What number is to be subtracted from 0.006898 to make it a perfect square ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/what-number-is-to-be-subtracted-from-0-006898-to-make-it-a-perfect-square/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/what-number-is-to-be-subtracted-from-0-006898-to-make-it-a-perfect-square/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:30:56 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1897</guid>

					<description><![CDATA[Answer : C. 0.000009]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">What number is to be subtracted from 0.006898 to make it a perfect square ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 0.000008</p>
</div>
<div class="col-sm-6">
<p>B. 0.000007</p>
</div>
<div class="col-sm-6">
<p>C. 0.000009</p>
</div>
<div class="col-sm-6">
<p>D. 0.000006</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-0-000009"><b>Answer : </b>C. 0.000009</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Subtract 0.000009 from 0.006898<br />
= 0.006898 &#8211; 0.000009<br />
= 0.006889<br />
Square root of 0.006889 = 0.083<br />
= 0.083 is a perfect square</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>If Shalu buys 6 more apples, his carton will weight 14.5 kilograms. If the weight of one apple is 250 grams. How many apples did he initially had in his carton ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/if-shalu-buys-6-more-apples-his-carton-will-weight-14-5-kilograms-if-the-weight-of-one-apple-is-250-grams-how-many-apples-did-he-initially-had-in-his-carton/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:29:28 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1896</guid>

					<description><![CDATA[Answer : D. 52]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">If Shalu buys 6 more apples, his carton will weight 14.5 kilograms. If the weigh of one apple is 250 grams. How many apples did he initially had in his carton ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 58</p>
</div>
<div class="col-sm-6">
<p>B. 56</p>
</div>
<div class="col-sm-6">
<p>C. 54</p>
</div>
<div class="col-sm-6">
<p>D. 52</p>
</div>
</div>
<h3 id="answer-d-52"><b>Answer : </b>D. 52</h3>
</div>
</div>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Weight of 1 apple = 250 g<br />
Weight of 6 apples = 250 * 6 = 1.5 kg<br />
Initial weight = 14.5 – 1.5 = 13 kg<br />
Number of apples in his carton initially :<br />
= 13000/250<br />
= 52 apples</p>
</div>
</div>
]]></content:encoded>
					
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		<title>X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/x-is-a-5-digit-number-when-we-subtract-the-sum-of-the-digits-form-x-it-becomes-divisible-by-_____/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/x-is-a-5-digit-number-when-we-subtract-the-sum-of-the-digits-form-x-it-becomes-divisible-by-_____/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:27:48 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1909</guid>

					<description><![CDATA[Answer : C. 9]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____ ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 5</p>
</div>
<div class="col-sm-6">
<p>B. 1</p>
</div>
<div class="col-sm-6">
<p>C. 9</p>
</div>
<div class="col-sm-6">
<p>D. 6</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-9"><b>Answer : </b>C. 9</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Every multiple of 9 (9, 18, 27, 36, etc.) has the property that its digits will always add up to a multiple of 9.<br />
For example, the number 4,968 is a multiple of 9 (552 × 9), and its digits add up to 27 (3 × 9).<br />
Because of how the problem is stated, with four-digit numbers, the sum of the digits will always be 9 or 18 or 27.<br />
Adding 1 + 8 or adding 2 + 7 (as specified in the problem) again gives 9.</p>
</div>
</div>
]]></content:encoded>
					
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		<title>The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:24:22 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1908</guid>

					<description><![CDATA[Answer : B. 24]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 23</p>
</div>
<div class="col-sm-6">
<p>B. 24</p>
</div>
<div class="col-sm-6">
<p>C. 25</p>
</div>
<div class="col-sm-6">
<p>D. 26</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-24"><b>Answer : </b>B. 24</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Numbers less than 100 divisible by 2 are 10, 12, 14, 16,&#8230;,98.<br />
Total numbers divisible by 2 are 45<br />
Remaining numbers are 11, 13, 15, 17, 19&#8230;99 = 45</p>
<p>Numbers divisible by 3 in the above numbers are 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93 and 99.<br />
Total numbers divisible by 3 are = 15<br />
Remaining integers = 45-15 = 30.</p>
<p>Numbers divisible by 5 in the remaining numbers = 25, 35, 55, 65, 85, 95<br />
Total numbers = 6<br />
Remaining 30-6 = 24.</p>
<p>So 24 numbers are not divisible by 2, 3 and 5.</p>
</div>
</div>
]]></content:encoded>
					
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		<item>
		<title>If the number 7&#215;86038 is exactly divisible by 11, then the smallest whole number in place of x ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/if-the-number-7x86038-is-exactly-divisible-by-11-then-the-smallest-whole-number-in-place-of-x/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:22:38 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1895</guid>

					<description><![CDATA[Answer : C. 3]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<div class="TextHeading">
<div class="hddn">
<p class="color-pink">If the number 7&#215;86038 is exactly divisible by 11, then the smallest whole number in place of x ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1</p>
</div>
<div class="col-sm-6">
<p>B. 2</p>
</div>
<div class="col-sm-6">
<p>C. 3</p>
</div>
<div class="col-sm-6">
<p>D. 4</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-3"><b>Answer : </b>C. 3</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>The given number = 7×86038<br />
Sum of the odd places = 8 + 0 + 8 + 7 = 23<br />
Sum of the even places = 3 + 6 + x<br />
(Sum of the odd places) &#8211; (Sum of even places) = Number (exactly divisible by 11)<br />
23 &#8211; (9 + x) = divisible by 11<br />
14 – x = divisible by 11.<br />
X must be 3, to make given number divisible by 11.</p>
</div>
</div>
</div>
</div>
]]></content:encoded>
					
					<wfw:commentRss>https://www.wikitechy.com/interview-questions/numbers/if-the-number-7x86038-is-exactly-divisible-by-11-then-the-smallest-whole-number-in-place-of-x/feed/</wfw:commentRss>
			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/a-and-b-are-two-number-when-divided-by-7-leaves-a-remainder-3-and-5-what-will-be-the-remainder-when-a-b-is-divided-by-7/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/a-and-b-are-two-number-when-divided-by-7-leaves-a-remainder-3-and-5-what-will-be-the-remainder-when-a-b-is-divided-by-7/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:03:37 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1883</guid>

					<description><![CDATA[Answer : B. 5]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4</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. 7</p>
</div>
</div>
<h3 id="answer-b-5"><b>Answer : </b>B. 5</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>A = 7x + 3,<br />
B = 7y + 5<br />
A &#8211; B = 7(x &#8211; y) &#8211; 2<br />
A &#8211; B = 7(x &#8211; y) &#8211; 7 + 7 – 2 [By adding -7 and +7]
A &#8211; B = 7(x &#8211; y &#8211; 1) + 5<br />
As seen above, if we divide A-B by 7, the remainder will be 5.</p>
</div>
</div>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-sum-of-three-consecutive-natural-numbers-each-divisible-by-3-is-72-what-is-the-largest-among-them/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/the-sum-of-three-consecutive-natural-numbers-each-divisible-by-3-is-72-what-is-the-largest-among-them/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:00:47 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1882</guid>

					<description><![CDATA[Answer : C. 27]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 21</p>
</div>
<div class="col-sm-6">
<p>B. 30</p>
</div>
<div class="col-sm-6">
<p>C. 27</p>
</div>
<div class="col-sm-6">
<p>D. 30</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-27"><b>Answer : </b>C. 27</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let us take three consecutive numbers which are divisible by 3 are, 3x, 3x + 3 and 3x + 6.<br />
3x + (3x + 3) + (3x + 6) = 72<br />
9x + 9 = 72<br />
9x = 63<br />
i.e. x = 7<br />
so, the numbers are 21, 24 and 27</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:59:23 +0000</pubDate>
				<category><![CDATA[Numbers]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1881</guid>

					<description><![CDATA[Answer : B. 2]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 0</p>
</div>
<div class="col-sm-6">
<p>B. 2</p>
</div>
<div class="col-sm-6">
<p>C. 1</p>
</div>
<div class="col-sm-6">
<p>D. 3</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-2"><b>Answer : </b>B. 2</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>When n is divided by 8, the remainder is 3 may be written as<br />
n = 8 k + 3<br />
Multiply all terms by 6<br />
6 n = 6(8 k + 3) = 8(6k) + 18<br />
Write 18 as 16 + 2 since 16 = 8 * 2.<br />
= 8(6k) + 16 + 2<br />
Factor 8 out.<br />
= 8(6k + 2) + 2<br />
The above indicates that if 6n is divided by 8, the remainder is 2. The answer is B.</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>3/7 of the oranges grown are too sour to eat out of 3,80,205 oranges that are grown on a farm. The owner has to sell the eatable Orange. How many Oranges can the farm owner sell ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/3-7-of-the-oranges-grown-are-too-sour-to-eat-out-of-380205-oranges-that-are-grown-on-a-farm-the-owner-has-to-sell-the-eatable-orange-how-many-oranges-can-the-farm-owner-sell/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/3-7-of-the-oranges-grown-are-too-sour-to-eat-out-of-380205-oranges-that-are-grown-on-a-farm-the-owner-has-to-sell-the-eatable-orange-how-many-oranges-can-the-farm-owner-sell/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:57:50 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1880</guid>

					<description><![CDATA[Answer : C. 2,17,260]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">3/7 of the oranges grown are too sour to eat out of 3,80,205 oranges that are grown on a farm. The owner has to sell the eatable Orange. How many Oranges can the farm owner sell ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1,62,945</p>
</div>
<div class="col-sm-6">
<p>B. 3,25,890</p>
</div>
<div class="col-sm-6">
<p>C. 2,17,260</p>
</div>
<div class="col-sm-6">
<p>D. 4,34,520</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-217260"><b>Answer : </b>C. 2,17,260</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>3/7 of oranges are sour to eat<br />
Total no. of oranges = 3,80,205<br />
Sour oranges = 3/7 of 3,80,205<br />
= 162945<br />
Oranges that can be sold = total no. of oranges &#8211; sour oranges<br />
= 3,80,205 &#8211; 1,62,945<br />
= 2,17,260</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ?</title>
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		<pubDate>Tue, 17 Aug 2021 17:56:25 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1846</guid>

					<description><![CDATA[Answer : C. 62]]></description>
										<content:encoded><![CDATA[<p class="color-pink">What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 56</p>
</div>
<div class="col-sm-6">
<p>B. 128</p>
</div>
<div class="col-sm-6">
<p>C. 62</p>
</div>
<div class="col-sm-6">
<p>D. 32</p>
</div>
</div>
<h3 id="answer-c-62"><b>Answer : </b>C. 62</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Take the lcm of 3 , 4 , 5 , 6.<br />
3 = 3×1<br />
4 = 2×2<br />
5 = 5×1<br />
6 = 2×3<br />
LCM = 2 × 2 × 3 × 5 = 60<br />
Therefore 60 is the number that is completely divisible by these numbers. But we have to find the smallest number that leaves remainder 2.<br />
Answer : 60 + 2 = 62</p>
</div>
</div>
]]></content:encoded>
					
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		<title>Find the smallest 4 digit number which is divisible by 18, 24, 32 ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-smallest-4-digit-number-which-is-divisible-by-18-24-32/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:54:58 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1845</guid>

					<description><![CDATA[Answer : C. 1152]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Find the smallest 4 digit number which is divisible by 18, 24, 32 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1216</p>
</div>
<div class="col-sm-6">
<p>B. 1512</p>
</div>
<div class="col-sm-6">
<p>C. 1152</p>
</div>
<div class="col-sm-6">
<p>D. 1680</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-1152"><b>Answer : </b>C. 1152</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>LCM of 18, 24 and 32:<br />
&#8211;&gt; 18 = 2 x 3 x 3<br />
&#8211;&gt; 24 = 2 x 2 x 2 x 3<br />
&#8211;&gt; 32 = 2 x 2 x 2 x 2 x 2<br />
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288.</p>
<p>The smallest four digit number that is divisible by 288:<br />
288 x 3 = 864<br />
288 x 4 = 1152</p>
<p>Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers. Therefore, 1152 is the smallest four digit number divisible by 18, 24 and 32.</p>
</div>
</div>
]]></content:encoded>
					
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		<title>There are three numbers, these are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. What will be the sum of three numbers ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/there-are-three-numbers-these-are-co-prime-to-each-other-are-such-that-the-product-of-the-first-two-is-551-and-that-of-the-last-two-is-1073-what-will-be-the-sum-of-three-numbers/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:53:18 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1844</guid>

					<description><![CDATA[Answer : B. 85]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">There are three numbers, these are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. What will be the sum of three numbers ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 67</p>
</div>
<div class="col-sm-6">
<p>B. 85</p>
</div>
<div class="col-sm-6">
<p>C. 129</p>
</div>
<div class="col-sm-6">
<p>D. 87</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-85"><b>Answer : </b>B. 85</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Since the numbers are co-prime, they contain only 1 as the common factor.<br />
It is also given that two products have the middle number in common.<br />
So, middle number = H.C.F. of 551 and 1073 = 29.<br />
So, First number is = 551/29 = 19.<br />
Third number = 1073/29 = 37<br />
So sum of these numbers is = (19 + 29 + 37) = 85.</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10, 12 seconds respectively. In 60 minutes how many times they will toll together ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/six-bells-commence-tolling-together-and-toll-at-the-intervals-of-2-4-6-8-10-12-seconds-respectively-in-60-minutes-how-many-times-they-will-toll-together/</link>
					<comments>https://www.wikitechy.com/interview-questions/lcm-and-hcf/six-bells-commence-tolling-together-and-toll-at-the-intervals-of-2-4-6-8-10-12-seconds-respectively-in-60-minutes-how-many-times-they-will-toll-together/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:50:52 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1843</guid>

					<description><![CDATA[Answer : C. 31]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10, 12 seconds respectively. In 60 minutes how many times they will toll together ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 16</p>
</div>
<div class="col-sm-6">
<p>B. 15</p>
</div>
<div class="col-sm-6">
<p>C. 31</p>
</div>
<div class="col-sm-6">
<p>D. 30</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-31"><b>Answer : </b>C. 31</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>LCM of 2 , 4 , 6 ,8 , 10 , 12 is 120 seconds, that&#8217;s 2 minutes.<br />
Now 60 / 2 = 30<br />
Adding one bell at the beginning it&#8217;ll be 30 + 1 = 31.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
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		<title>Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/</link>
					<comments>https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:48:26 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1842</guid>

					<description><![CDATA[Answer : B . 127]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 91</p>
</div>
<div class="col-sm-6">
<p>B. 127</p>
</div>
<div class="col-sm-6">
<p>C. 137</p>
</div>
<div class="col-sm-6">
<p>D. 140</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-127"><b>Answer : </b>B . 127</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>In this type of question, we need to calculate the HCF, trick is,<br />
HCF (1661 – 10) and (2045 -13)<br />
= HCF (1651, 2032)<br />
= 127</p>
</div>
</div>
]]></content:encoded>
					
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		<title>Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/which-greatest-possible-length-can-be-used-to-measure-exactly-15-meter-75-cm-11-meter-25-cm-and-7-meter-65-cm/</link>
					<comments>https://www.wikitechy.com/interview-questions/lcm-and-hcf/which-greatest-possible-length-can-be-used-to-measure-exactly-15-meter-75-cm-11-meter-25-cm-and-7-meter-65-cm/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:46:33 +0000</pubDate>
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		<category><![CDATA[Which greatest possible length can be used to measure exactly 15]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1841</guid>

					<description><![CDATA[Answer : A. 45]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm &amp; 7 meter 65 cm ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 45</p>
</div>
<div class="col-sm-6">
<p>B. 255</p>
</div>
<div class="col-sm-6">
<p>C. 55</p>
</div>
<div class="col-sm-6">
<p>D. 36</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-45"><b>Answer : </b>A. 45</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>The HCF for given length.<br />
&#8211;&gt; 15 meter 75 cm = 1575 cm.<br />
&#8211;&gt; 11 meter 25 cm = 1125 cm<br />
&#8211;&gt; 7 meter 65 cm = 765 cm.</p>
<p>1575 = 5 * 5 * 3 * 3 * 7<br />
1125 = 5 * 5 * 5 * 3 * 3<br />
765 = 5 * 3 * 3 * 17</p>
<p>HCF of 1575 , 1125 and 765 is 45.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
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		<title>If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-lcm-of-two-number-is-693-hcf-of-two-numbers-is-11-and-one-number-is-99-then-find-other/</link>
					<comments>https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-lcm-of-two-number-is-693-hcf-of-two-numbers-is-11-and-one-number-is-99-then-find-other/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:43:48 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1840</guid>

					<description><![CDATA[Answer : C. 77]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 12</p>
</div>
<div class="col-sm-6">
<p>B. 45</p>
</div>
<div class="col-sm-6">
<p>C. 77</p>
</div>
<div class="col-sm-6">
<p>D. 34</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-77"><b>Answer : </b>C. 77</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>For any this type of question, remember<br />
Product of two numbers = Product of their HCF and LCM<br />
So Other number = 693 × 11 / 99<br />
= 77</p>
</div>
</div>
]]></content:encoded>
					
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		<item>
		<title>The LCM of three different numbers is 1024. Which one of the following can never be there HCF ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-three-different-numbers-is-1024-which-one-of-the-following-can-never-be-there-hcf/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:41:31 +0000</pubDate>
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					<description><![CDATA[Answer : C. 124]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The LCM of three different numbers is 1024. Which one of the following can never be there HCF ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 8</p>
</div>
<div class="col-sm-6">
<p>B. 32</p>
</div>
<div class="col-sm-6">
<p>C. 124</p>
</div>
<div class="col-sm-6">
<p>D. 256</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-124"><b>Answer : </b>C. 124</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>1024 is dividable by all numbers except 124.</p>
</div>
</div>
]]></content:encoded>
					
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