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<html><body><h2 id="content-id-3241608597-2"><b>Comparison Of Quantities Questions Overview</b></h2><p>Comparison Of Quantities Questions have a good weightage in the Banking Exam and the type of question asked in Banking exam is similar to the question mentioned below. It has been solved and explained by Gargi.ai Experts and they have tried to elaborate the concept used in Comparison Of Quantities Questions.</p><h2 id="content-id-5301628497-3"><b>Comparison Of Quantities Questions</b></h2><p>Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.
</p><h2 id="content-id-7298435106-4"><b>Question</b></h2><p>Quantity A: Two trains running in opposite direction. After passing eachother can cover their remaining distance in 16 min and 9 min respectively if the speed of slower train is 48 km / hr. Find the difference between speed of both trains.

Quantity B: The ratio of age of A and B 3 years ago was 8: 11 And 2 years hence will be 7 : 9. What is the present age of A
</p><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 : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 57 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Quantity A ≥ Quantity B</p>
</li><li style="color:red;"><p>Quantity A ≤ Quantity B</p>
</li><li style="color:red;"><p>Quantity A = Quantity B or no relationship can be established</p>
</li><li style="color:red;"><p>Quantity A > Quantity B</p>
</li><li style="color:green;"><p>Quantity A < Quantity B</p>
</li></ol> <h2 id="content-id-9814265073-5"><b>Solution</b></h2><p>Correct answer is <strong>Option 5 </strong>i.e.<strong> Quantity A < Quantity B</strong></p>

<p>Quantity A:</p>

<p>As we know that when time of train to reach destination after passing each other is given the ratio of speeds is equal to square root of inverse ratio of their time so</p>

<p>S<sub>a </sub>: S<sub>b </sub>= √( 9 : 16 ), S<sub>a </sub>: S<sub>b </sub>= 3 :4, therefore let their speeds be 3x and 4x since 3x = 48</p>

<p>So difference between their speeds = x = 16</p>



<p>Quantity B</p>

<p>Since ratio of their speeds 3 years ago was 8 : 11 and 2 years hence will be 7 : 9 so multiplying 1<sup>st</sup> by 2 and 2<sup>nd</sup> by 3 we get new ratios as 16 : 22 and 21 : 27. Therefore let their present age be 16 x and 22x respectively so there age after 5 years = 16x + 5. And 22x +5 since their ratio after 5 years is also given we get</p>

<p>( 22x + 5 ) / ( 16x + 5 ) = 27 / 21</p>

<p>By applying componendo and divinendo we get</p>

<p>( 38 x + 10 ) / 6x = 48 / 6</p>

<p>38 x + 10 = 48 x hence x = 1</p>

<p>So age of A 3 years ago = 16</p>

<p>Present age = 19.</p>

<p>Quantity A < Quantity B.</p>


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Correct answer is Option 5 i.e. Quantity - Comparison Of Quantities Questions are asked in Banking exams and your question has been explained by Gargi.ai experts.

Comparison Of Quantities Questions Overview

Quantity A Two trains running - Comparison Of Quantities Questions for Banking

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