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		<title>How many times do the hands of a clock coincide in 5 hours ?</title>
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					<description><![CDATA[Answer : B. 4]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">How many times do the hands of a clock coincide in 5 hours ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 5</p>
</div>
<div class="col-sm-6">
<p>B. 4</p>
</div>
<div class="col-sm-6">
<p>C. 6</p>
</div>
<div class="col-sm-6">
<p>D. 3</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-4"><b>Answer : </b>B. 4</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p align="justify">Hour hand and minute hand coincide every 65:5 minute, so in 5 hour they will coincide 4 times The hour hand covers 2*360 degrees in 24 hours, i.e 1440 minutes. So, in one minute, it covers <b>1440/720 = 1/2 degree</b>.</p>
<p>Difference in angular distance travelled by the minute hand and the hour hand in one minute is thus 6-1/2 = 11/2 degrees. So, on a full rotation (360<sup>ᵒ</sup>), any similar event between them will be repeated every 360/(11/2) = 65 5/11 minutes.</p>
</div>
</div>
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