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		<title>The sum of two number is twice the difference between two number.if the one number is 10 find the second number ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-sum-of-two-number-is-twice-the-difference-between-two-number-if-the-one-number-is-10-find-the-second-number/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/the-sum-of-two-number-is-twice-the-difference-between-two-number-if-the-one-number-is-10-find-the-second-number/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:42:18 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1907</guid>

					<description><![CDATA[Answer : 30]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The sum of two number is twice the difference between two number.if the one number is 10 find the second number ?</p>
</div>
</div>
<h3 id="answer-30"><b>Answer : </b>30</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Assuming the second number is x<br />
10 + x = 2*(x-10)<br />
Simplify and solve<br />
10 + x = 2x-20<br />
10+20= x<br />
x = 30<br />
Therefore the second number is 30</p>
</div>
</div>
]]></content:encoded>
					
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		<item>
		<title>The pulse rate of a person is 15 beats in 10 seconds. At this rate, what will be pulse rate of the person per minute ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-pulse-rate-of-a-person-is-15-beats-in-10-seconds-at-this-rate-what-will-be-pulse-rate-of-the-person-per-minute/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/the-pulse-rate-of-a-person-is-15-beats-in-10-seconds-at-this-rate-what-will-be-pulse-rate-of-the-person-per-minute/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:40:59 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1905</guid>

					<description><![CDATA[Answer : C. 90 beats per minute]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The pulse rate of a person is 15 beats in 10 seconds. At this rate, what will be pulse rate of the person per minute?</p>
<div class="row">
<div class="col-sm-6">
<p>A. Data insufficient</p>
</div>
<div class="col-sm-6">
<p>B. 100 beats per minute</p>
</div>
<div class="col-sm-6">
<p>C. 90 beats per minute</p>
</div>
<div class="col-sm-6">
<p>D. 150 beats per minute</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-90-beats-per-minute"><b>Answer : </b>C. 90 beats per minute</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>A person pulse rate in 10 seconds = 15.<br />
A person pulse rate of one second 15/10 = 1.5.<br />
A person pulse rate at one minute is 60 * 1.5 = 90.<br />
A person pulse rate is 90 beats per minute.</p>
</div>
</div>
]]></content:encoded>
					
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		<title>How many factors does the number 2,876 have ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/how-many-factors-does-the-number-2876-have/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/how-many-factors-does-the-number-2876-have/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:39:37 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1904</guid>

					<description><![CDATA[Answer : C. 6]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">How many factors does the number 2,876 have ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 8</p>
</div>
<div class="col-sm-6">
<p>B. 7</p>
</div>
<div class="col-sm-6">
<p>C. 6</p>
</div>
<div class="col-sm-6">
<p>D. 5</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">
<p>Take the power of terms as a and b.<br />
Using the equation for determining the number of factors, d(n) = (a+1) (b+1)<br />
2876 = 2<sup>2</sup> * 719<sup>1</sup><br />
D (2876) = (2+1) (1+1) = 6<br />
So, answer is 6</p>
</div>
</div>
<p>Factors of 2876 = 1, 2, 4, 719, 1438, 2876</p>
]]></content:encoded>
					
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			</item>
		<item>
		<title>The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What must be the remaining number ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-average-of-7-numbers-is-60-the-average-of-the-first-three-numbers-is-50-while-the-average-of-the-last-three-is-70-what-must-be-the-remaining-number/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/the-average-of-7-numbers-is-60-the-average-of-the-first-three-numbers-is-50-while-the-average-of-the-last-three-is-70-what-must-be-the-remaining-number/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:38:00 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1901</guid>

					<description><![CDATA[Answer : B. 60]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The average of 7 numbers is 60. The average of the first three numbers is 50, while the average of the last three is 70. What must be the remaining number ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 75</p>
</div>
<div class="col-sm-6">
<p>B. 60</p>
</div>
<div class="col-sm-6">
<p>C. 65</p>
</div>
<div class="col-sm-6">
<p>D. 55</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-60"><b>Answer : </b>B. 60</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>The sum of all the seven numbers = 60 * 7 = 420<br />
The sum of the first three = 50 * 3 = 150<br />
The sum of the last three = 70 * 3 = 210<br />
Remaining Number = 420 &#8211; (210 + 150) = 60</p>
</div>
</div>
]]></content:encoded>
					
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		<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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		<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>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:34:22 +0000</pubDate>
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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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		<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>
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		<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>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 19:30:56 +0000</pubDate>
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		<category><![CDATA[What number is to be subtracted from 0.006898]]></category>
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		<category><![CDATA[what number is to be subtracted from 0.006898 to make it a perfect square?]]></category>
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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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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<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>
					<comments>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/#respond</comments>
		
		<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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			<slash:comments>0</slash:comments>
		
		
			</item>
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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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			</item>
		<item>
		<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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			<slash:comments>0</slash:comments>
		
		
			</item>
		<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>
					<comments>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/#respond</comments>
		
		<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>
					
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			</item>
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		<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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			</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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			<slash:comments>0</slash:comments>
		
		
			</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>
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		<category><![CDATA[When the integer n is divided by 8]]></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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		<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>For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: X $ X = 0 for all X , X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/for-any-two-numbers-we-define-an-operation-yielding-another-number-x-y-such-that-following-condition-holds-x-x-0-for-all-x-x-y-z-x-y-z-find-the-value-of-2012-0-2012-1912/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/for-any-two-numbers-we-define-an-operation-yielding-another-number-x-y-such-that-following-condition-holds-x-x-0-for-all-x-x-y-z-x-y-z-find-the-value-of-2012-0-2012-1912/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:54:54 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1879</guid>

					<description><![CDATA[Answer : A. 2112]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: &#8221; X $ X = 0 for all X &#8221; X $ (Y $ Z) = X $ Y + Z Find the Value of 2012 $ 0 + 2012 $ 1912 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 2112</p>
</div>
<div class="col-sm-6">
<p>B. 100</p>
</div>
<div class="col-sm-6">
<p>C. 5936</p>
</div>
<div class="col-sm-6">
<p>D. Cannot be determined</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-2112"><b>Answer : </b>A. 2112</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Here $ represent the – operator so X &#8211; X = 0<br />
First condition x $ (y $ z) = x &#8211; (y &#8211; z) = x &#8211; y + z.<br />
It can be written as x $ y + z<br />
2012 &#8211; 0 + 2012 &#8211; 1912 = 2112</p>
</div>
</div>
]]></content:encoded>
					
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		<title>What is the perfect square if we divide the number 2088 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/what-is-the-perfect-square-if-we-divide-the-number-2088/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/what-is-the-perfect-square-if-we-divide-the-number-2088/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:52:47 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1878</guid>

					<description><![CDATA[Answer : A. 58]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">What is the perfect square if we divide the number 2088 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 58</p>
</div>
<div class="col-sm-6">
<p>B. 20</p>
</div>
<div class="col-sm-6">
<p>C. 28</p>
</div>
<div class="col-sm-6">
<p>D. 29</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-58"><b>Answer : </b>A. 58</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<p>&nbsp;</p>
<div class="Content">
<div class="hddn">
<p>The LCM for 2088 is (2 * 2) * 2 * (3 * 3) * 29.<br />
In order to make it perfect square multiply 2 * 29 the answer is 58</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
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		<title>The remainder when m + n is divided by 12 is 8, and the remainder when m – n is divided by 12 is 6. If m &gt; n, then what is the remainder when mn divided by 6 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/the-remainder-when-m-n-is-divided-by-12-is-8-and-the-remainder-when-m-n-is-divided-by-12-is-6-if-m-n-then-what-is-the-remainder-when-mn-divided-by-6/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:50:49 +0000</pubDate>
				<category><![CDATA[Numbers]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1877</guid>

					<description><![CDATA[Answer : D. 1]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The remainder when m + n is divided by 12 is 8, and the remainder when m &#8211; n is divided by 12 is 6. If m &gt; n, then what is the remainder when mn divided by 6 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 3</p>
</div>
<div class="col-sm-6">
<p>B. 4</p>
</div>
<div class="col-sm-6">
<p>C. 2</p>
</div>
<div class="col-sm-6">
<p>D. 1</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-1"><b>Answer : </b>D. 1</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>(m+n)/12 remainder is 8 so m + n = 8 + 12 = 20<br />
(m-n)/12 remainder is 6 so m &#8211; n = 6 + 12 = 18<br />
Solving this m = 19,n = 1<br />
( m * n ) / 6 = ( 19 * 1 ) / 6 remainder is 1.</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
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		<title>What is the remainder when (1234567890123456789)24 is divided by 6561 ?</title>
		<link>https://www.wikitechy.com/interview-questions/numbers/what-is-the-remainder-when-123456789012345678924-is-divided-by-6561/</link>
					<comments>https://www.wikitechy.com/interview-questions/numbers/what-is-the-remainder-when-123456789012345678924-is-divided-by-6561/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 18:48:40 +0000</pubDate>
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		<category><![CDATA[What is the remainder when (1234567890123456789)²⁴ is divided by 6561]]></category>
		<category><![CDATA[What will be the remainder (1234567890123456789) ^24/6561]]></category>
		<category><![CDATA[What will be the remainder when[math] (1234567890123456789) ^24/6561.]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1876</guid>

					<description><![CDATA[Answer : D. 0]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">What is the remainder when (1234567890123456789)<sup>24</sup> is divided by 6561 ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 7</p>
</div>
<div class="col-sm-6">
<p>B. 5</p>
</div>
<div class="col-sm-6">
<p>C. 3</p>
</div>
<div class="col-sm-6">
<p>D. 0</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-0"><b>Answer : </b>D. 0</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>The digital sum of number is (1+2+3+4+5+6+7+8+9+0+1+2+3+4+5+6+7+8+9) = 90 = (9+0) = 9 So it is divisible by 3 or 9<br />
The given divisor 6561 = 9<sup>4</sup><br />
So 9<sup>24</sup>/9<sup>4</sup> Reminder is 0.</p>
</div>
</div>
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