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<html><body><h2 id="content-id-0145768239-2"><b>Mathematical Reasoning Questions Overview</b></h2><p>Mathematical Reasoning Questions have a good weightage in the Ssc Mts Exam and the type of question asked in Ssc Mts exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Mathematical Reasoning Questions.</p><h2 id="content-id-1408269573-3"><b>Question On Mathematical Reasoning </b></h2>An object of size 3.0 cm is placed in front of a concave mirror of focal length 18 cm, at a distance of 54 cm. The image formed is ________ and its height is_______.
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 35 Seconds </h3></div></div><h2 id="content-id-7065832914-4"><b> Mathematical Reasoning Questions Options</b></h2><ol><li><p>inverted, 1.5 cm</p>
</li><li><p>erect, 1.5 cm</p>
</li><li><p>inverted, 0.75 cm</p>
</li><li><p>erect, 0.75 cm</p>
</li></ol> <h2 id="content-id-2604835197-5"><b> Mathematical Reasoning Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e.<strong> inverted, 1.5 cm.</strong></p>

<p>Using the mirror formula:</p>

<p>1/v+1/u=1/  f</p>

<p>v1â&#128;&#139;+u1â&#128;&#139;=f1â&#128;&#139;</p>

<p>Substitute values:</p>

<p>1v+1/(−54) =1/(−18v) </p>

<p>1/v = 1/(-18)= 1/ (54)</p>

<p>= 1/ (-27)</p>

<p><strong>Image distance (v)</strong> = <strong>−27 cm</strong> (negative sign indicates a <strong>real image</strong> formed in front of the mirror).</p>

<h3><span style="font-size:14px">Step 2: Magnification (m)</span></h3>

<p>m=−v/u=−(−27)/(−54)=(−1/2m)</p>

<ul>
	<li>
	<p><strong>Negative sign</strong>: Image is <strong>inverted</strong>.</p>
	</li>
	<li>
	<p><strong>Magnitude (0.5)</strong>: Image is <strong>diminished</strong> (half the object's size).</p>
	</li>
</ul>

<h3><span style="font-size:14px">Step 3: Image Height (háµ¢)</span></h3>

<p>hi=m×ho=−(1/2)×3=−1.5 cm</p>

<ul>
	<li>
	<p><strong>−1.5 cm</strong>: Inverted and smaller than the object.</p>
	</li>
</ul>

<p>The image formed is <strong>real, inverted</strong>, and its height is <strong>1.5 cm</strong>.</p>


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A sentence divided into 5 - Sentence Jumbles Questions for Ssc Mts

Which of the following wi - Sentence Amp Para Jumbles Questions for Ssc Mts

The correct answer is option 1 i.e. inv - Mathematical Reasoning Questions are asked in Ssc Mts exams and your question has been explained by experts like Neetu Mam.

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An object of size 3 0 cm - Mathematical Reasoning Questions for Ssc Mts

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