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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-9507628341-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-2604918573-3"><b>Question</b></h2><p>A pipe can fill a cistern in 6 hrs. Due to a leak in its bottom, it is filled in 7 hrs. When the cistern is full, in how much time will it be emptied by the leak?
</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 : 36 Seconds </h3></div></div><b> Options :</b><ol><li style="color:green;"><p>42 hrs</p>
</li><li style="color:red;"><p>40 hrs</p>
</li><li style="color:red;"><p>43 hrs</p>
</li><li style="color:red;"><p>45 hrs</p>
</li><li style="color:red;"><p>None of these</p>
</li></ol> <h2 id="content-id-3097685421-4"><b>Solution</b></h2><p> The correct answer is <strong>option 1</strong> i.e.<strong>42 hrs.</strong></p>

<p>In one hour, 1/6 of the cistern can be filled</p>

<p>In one hour, only 1/7 of the cistern can be filled due</p>

<p>to leak in its bottom</p>

<p>∴ In one hour <span class="math-tex">$\frac{1}{6}-\frac{1}{7}=\frac{1}{42}$</span> of the cistern is empty</p>

<p>∴ The whole cistern will be emptied in 42 hrs</p>
</body></html>


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A pipe can fill a cistern - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-7049285361-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-7034892156-3"><b>Question</b></h2><p>A 570 m long train can cross a pole in 38 sec. In how much time it can cross a 660 m long platform.
</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 : 32 Seconds </h3></div></div><b> Options :</b><ol><li style="color:green;"><p>82 sec</p>
</li><li style="color:red;"><p>64 sec</p>
</li><li style="color:red;"><p>90 sec</p>
</li><li style="color:red;"><p>120 sec</p>
</li><li style="color:red;"><p>72 sec</p>
</li></ol> <h2 id="content-id-6942385017-4"><b>Solution</b></h2><p>The correct answer is <strong>option 1 </strong>i.e <strong>82 sec.</strong></p>

<p>Speed of train = Length/Time</p>

<p>Speed = 570/38 = 15 m/sec</p>

<p>Time required in crossing = (570 + 660)/15</p>

<p>= 82 sec</p>
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A 570 m long train can cross - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-7019624583-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-9275804316-3"><b>Question</b></h2><p>Ratio between length of trains A and B is 3 : 5. Speed of train A is 72 km/h and that of train B is 54 km/h & they are running opposite to each other. If train A crosses train B in 16 seconds then find length of train B.
</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 : 38 Seconds </h3></div></div><b> Options :</b><ol><li style="color:green;"><p>350 m</p>
</li><li style="color:red;"><p>250 m</p>
</li><li style="color:red;"><p>450 m</p>
</li><li style="color:red;"><p>150 m</p>
</li><li style="color:red;"><p>320 m</p>
</li></ol> <h2 id="content-id-1647058293-4"><b>Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e.<strong> 350 m.</strong></p>

<p>Let length of train A = 3x</p>

<p>Length of train B = 5x</p>

<p>Speed of train A = 72 × <span class="math-tex">$\frac{5}{18}$</span> = 20 m/sec</p>

<p>Speed of train B = 54 ×  <span class="math-tex">$\frac{5}{18}$</span>= 15 m/sec</p>

<p>ATQ,</p>

<p><span class="math-tex">$\frac{8x}{20+15}$</span> = 16 ⇒ x = 70</p>

<p>∴ Length of train B = 5 × 70 = 350 m</p>
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Ratio between length of trains - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-1370548629-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-9715648032-3"><b>Question</b></h2><p>What is the speed of car (in km/hr), which overtakes a running train in 20 second. Length of train is 180 meter and its speed is 33â&#133;&#147;% less than speed of car. (Car’s length is negligible)
</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 : 36 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>100 km/hr</p>
</li><li style="color:red;"><p>81 km/hr</p>
</li><li style="color:red;"><p>105 km/hr</p>
</li><li style="color:red;"><p>90 km/hr</p>
</li><li style="color:green;"><p>97.2 k/hr</p>
</li></ol> <h2 id="content-id-8053671429-4"><b>Solution</b></h2><p>The correct answer is <strong>option 5</strong> i.e. <strong>97.2 km/hr</strong></p>

<p>Distance = 180 meter<br>
Time = 20 second<br>
Relative speed of train and car = 180/20 = 9 m/s<br>
Let speed of car = ð&#157;&#145;¥ m/s<br>
o speed of train = 2/3 ð&#157;&#145;¥ m/s<br>
ð&#157;&#145;¥– 2/3 ð&#157;&#145;¥ = 9 m/s<br>
ð&#157;&#145;¥= 27 m/s<br>
Speed of car in km/hr = (27×18)/5 = 97.2 km/hr</p>
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What is the speed of car in - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-6735284091-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-5604371982-3"><b>Question</b></h2><p>A can beat B by 200 m in a race of 2km. B can beat C by 100 m in a race of 2.5 km. By how many meters can A beat C in a race of 1 km?
</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 : 36 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>250 m</p>
</li><li style="color:red;"><p>185 m</p>
</li><li style="color:red;"><p>146 m</p>
</li><li style="color:green;"><p>136 m</p>
</li><li style="color:red;"><p>158 m</p>
</li></ol> <h2 id="content-id-7802165934-4"><b>Solution</b></h2><p><span style="font-size:14px">The correct answer is <strong>Option 4</strong> i.e. <strong>136 m</strong></span></p>

<table border="1" cellpadding="1" cellspacing="1" style="width:500px">
	<tbody>
		<tr>
			<td><span style="font-size:14px">Concept</span></td>
			<td><span style="font-size:14px">Application</span></td>
		</tr>
		<tr>
			<td>
			<p><span style="font-size:14px">If A runs p km and B runs q km </span></p>

			<p><span style="font-size:14px">in same time, the ratio of their</span></p>

			<p><span style="font-size:14px">speed = p : q</span></p>
			</td>
			<td>
			<p><span style="font-size:14px">Ratio of speed of A and B = 2000:1800 = 10:9</span></p>

			<p><span style="font-size:14px">Ratio of speed of B and c = 2500:2400 = 25:24</span></p>

			<p><span style="font-size:14px">Ratio of speed of A, B, and C is = 250:225:216</span></p>

			<p><span style="font-size:14px">Since in a race of 250m, A beat C by (250-216) = 34m</span></p>

			<p><span style="font-size:14px">Therefore, in a race of 1000m, A beat C by 136m.</span></p>
			</td>
		</tr>
	</tbody>
</table>


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A can beat B by 200 m in a - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-1526837490-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-4718605239-3"><b>Question</b></h2><p>Two ships A and B start from two different points P and Q respectively on a river towards each other and initially both the points are 50 km apart. The river is flowing at the rate of 10 km/h from P to Q and speed of ships A and B in still water is 30 km/h and 70 km/h, then distance travelled by ship B is how much more than that by ship A when both the boats meet with each other?
</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 : 47 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>15 km</p>
</li><li style="color:green;"><p>10 km</p>
</li><li style="color:red;"><p>12 km</p>
</li><li style="color:red;"><p>5 km</p>
</li><li style="color:red;"><p>8 km</p>
</li></ol> <h2 id="content-id-7213950486-4"><b>Solution</b></h2><p style="text-align:justify">The correct answer is option 2 i.e. <span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">10 km</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">River is flowing form P to Q. So, downstream speed of ship A = 30 + 10 = 40 km/h</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Upstream speed of ship B = 70 – 10 = 60 km/h</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Effective speed of both the ships when travelling in opposite direction = 40 + 60 = 100 km/h</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Time after which both the ships met = 50/100 = 0.5 hours</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Distance travelled by ship A in 0.5 hours = 40 × 0.5 = 20 km</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Distance travelled by ship B in 0.5 hours = 60 × 0.5 = 30 km</span></span></span></p>

<p style="text-align:justify"><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span style="font-size:12.0pt">Required difference = 30 – 20 = 10 km</span></span></span></p>
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Two ships A and B start from - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-6932148075-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-9438567102-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In each of these questions the symbols %, @, &, *, and # are used with different meanings as follows. You have to decide which of the given conclusion/conclusions follows/follow the given statement.

A % B means that 'A is neither smaller than nor equal to B'

A # B means that 'A is neither greater than nor equal to B'

A @ B means that 'A is neither greater than nor smaller than B'

A & B means that 'A is not smaller than B

A * B means that 'A is not greater than B'
</p><h2 id="content-id-3910467582-4"><b>Question</b></h2><p>Statements: P & Q @ R % S, T * U # V, W # R & Y

Conclusions:

I. P & Y

II. S % T

III. U # W

IV. W # P
</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 : 59 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only I and II</p>
</li><li style="color:red;"><p>Only II and III</p>
</li><li style="color:green;"><p>Only I and IV</p>
</li><li style="color:red;"><p>Only II and IV</p>
</li><li style="color:red;"><p>All I, II, III, and IV</p>
</li></ol> <h2 id="content-id-0473251986-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 3</strong> i.e. <strong>Only I and IV</strong></p>

<p>A % B: 'A is neither smaller than nor equal to B'</p>

<p>A # B: 'A is neither greater than nor equal to B'</p>

<p>A @ B: 'A is neither greater than nor smaller than B'</p>

<p>A & B: 'A is not smaller than B</p>

<p>A * B: 'A is not greater than B'</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:200px">
	<tbody>
		<tr>
			<td><strong>Symbols</strong></td>
			<td>%</td>
			<td>#</td>
			<td>@</td>
			<td>&</td>
			<td>*</td>
		</tr>
		<tr>
			<td><strong>Meaning</strong></td>
			<td>></td>
			<td><</td>
			<td>=</td>
			<td>≥</td>
			<td>≤</td>
		</tr>
	</tbody>
</table>

<p><strong>Statements:</strong> P & Q @ R % S, T * U # V, W # R & Y</p>

<p>P & Q @ R % S ⇒ P ≥ Q = R > S</p>

<p>T * U # V ⇒ T ≤ U < V</p>

<p>W # R & Y ⇒ W < R ≥ Y</p>

<p><strong>Conclusions:</strong></p>

<p>I. P & Y ⇒ P ≥ Y: <strong>True</strong> (P ≥ Q = R ≥ Y → P ≥ Y)</p>

<p>II. S % T ⇒ S > T: <strong>False </strong>(There is no element is common between S and T so we need 3 signs)</p>

<p>III. U # W ⇒ U < W: <strong>False </strong>(There is no element is common between S and T so we need 3 signs)</p>

<p>IV. W # P ⇒ W < P: <strong>True</strong> (P ≥ Q = R > W → P > W or W < P)</p>

<p>Clearly, conclusion I and IV follow.</p>

<p>Hence, the correct answer is <strong>Only I and IV.</strong></p>
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Statements P Q R S - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-3924518607-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-5697034182-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In each of these questions the symbols %, @, &, *, and # are used with different meanings as follows. You have to decide which of the given conclusion/conclusions follows/follow the given statement.

A % B means that 'A is neither smaller than nor equal to B'

A # B means that 'A is neither greater than nor equal to B'

A @ B means that 'A is neither greater than nor smaller than B'

A & B means that 'A is not smaller than B

A * B means that 'A is not greater than B'
</p><h2 id="content-id-3075816294-4"><b>Question</b></h2><p>Statements: 15 % 16 * 17 # 18, 19 & 20 @ 17, 16 % 21 * 22

Conclusions:

I. 16 # 19

II. 15 * 20

III. 19 @ 16

IV. 18 % 22
</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 : 54 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Either II or III</p>
</li><li style="color:red;"><p>Only I and Either II or III</p>
</li><li style="color:green;"><p>Either I or III</p>
</li><li style="color:red;"><p>Only I and IV</p>
</li><li style="color:red;"><p>Only III and IV</p>
</li></ol> <h2 id="content-id-1054768923-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 3</strong> i.e. <strong>Either I or III</strong></p>

<p>A % B: 'A is neither smaller than nor equal to B'</p>

<p>A # B: 'A is neither greater than nor equal to B'</p>

<p>A @ B: 'A is neither greater than nor smaller than B'</p>

<p>A & B: 'A is not smaller than B</p>

<p>A * B: 'A is not greater than B'</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:200px">
	<tbody>
		<tr>
			<td><strong>Symbols</strong></td>
			<td>%</td>
			<td>#</td>
			<td>@</td>
			<td>&</td>
			<td>*</td>
		</tr>
		<tr>
			<td><strong>Meaning</strong></td>
			<td>></td>
			<td><</td>
			<td>=</td>
			<td>≥</td>
			<td>≤</td>
		</tr>
	</tbody>
</table>

<p><strong>Statements:</strong> 15 % 16 * 17 # 18, 19 & 20 @ 17, 16 % 21 * 22</p>

<p>15 % 16 * 17 # 18 ⇒ 15 > 16 ≤ 17 < 18</p>

<p>19 & 20 @ 17 ⇒ 19 ≥ 20 = 17</p>

<p>16 % 21 * 22 ⇒ 16 > 21 ≤ 22</p>

<p><strong>Conclusions:</strong></p>



<p>I. 16 # 19 ⇒ 16 < 19: <strong>False </strong>(16 ≤ 17 = 20 ≤ 19 → 16 ≤ 19)</p>

<p>II. 15 * 20 ⇒ 15 ≤ 20: <strong>False </strong>(15 > 16 ≤ 17 = 20, opposite signs are there between the elements)</p>

<p>III. 19 @ 16 ⇒ 19 = 16: <strong>False </strong>((16 ≤ 17 = 20 ≤ 19 → 16 ≤ 19)</p>

<p>IV. 18 % 22 ⇒ 18 > 22: <strong>False </strong>(22 ≥ 21 < 16 ≤ 17 < 18, opposite signs are there between the elements)</p>

<p>Clearly, conclusion I and III make the complementary pair so Either I or III follows.</p>

<p>Hence, the correct answer is <strong>Either I or III.</strong></p>
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Statements 15 16 17 - Mathematical Inequality Questions for Banking

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<html><body><h2 id="content-id-6897152304-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-0918532476-3"><b>Question</b></h2><p>On a particular day, three friends Sameer, Simran and Mansi have to reach Agra from Gwalior. But due to an epidemic, no public transport is available and the only way to reach Agra for them is the Sameer’s bike but due to stringent traffic rules, only two people can travel on the bike at a time. If all of them can walk at a speed of 5 km/hr and the speed of the bike is 35 km/hr. If all of them start simultaneously from Gwalior and they have to reach Agra simultaneously. In how much time the journey will be completed if the distance between Agra and Gwalior is 200 km?
</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 : 56 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p><span style="font-size:11pt"><span style="font-family:Calibri,sans-serif">12<span class="math-tex">$\frac{1}{7}$</span>hours</span></span></p>
</li><li style="color:red;"><p>12<span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"><span class="math-tex">$\frac{2}{7}$</span></span></span> hours</p>
</li><li style="color:red;"><p>12<span class="math-tex">$\frac{3}{7}$</span>  hours</p>
</li><li style="color:green;"><p>12<span class="math-tex">$\frac{4}{7}$</span> hours</p>
</li><li style="color:red;"><p>None of these</p>
</li></ol> <h2 id="content-id-1786245930-4"><b>Solution</b></h2><p>The correct answer is <strong>option 4 </strong>i.e.<span style="font-size:11pt"><span style="font-family:Calibri,sans-serif"> </span></span> 12<span class="math-tex">$\frac{4}{7}$</span></p>

<p><img alt="" src="https://hranker.com/admin/assets/uploads/ckeditor/Urgent%20Diagram_20.12.2022_D3.png" style="height:44px; width:254px"></p>

<p>Since all of them have to reach Agra simultaneouslyso let sameer leave on of them at A and picks the other at B. And again let us assume distance between gwalior and B be ‘ K ‘ and BA be ‘ M’ and A and Agra be ‘ N ‘ .</p>

<p>Now in the time bike covers a distance between gwalior and A and back to B the person walking reaches B . Hence</p>

<p>(K + M + M) ÷ K = 35 ÷ 5</p>

<p>[Since time taken is equal to speed is directly proportional to distance travelled]</p>

<p>M/K = 3/1</p>

<p>And again for the person and bike after A</p>

<p>(M + M + N) ÷ N = 35 ÷ 5</p>

<p>M/N = 3/1,</p>

<p>Hence let M = 3y , N = y , K = y </p>

<p>Therefore  we also know that</p>

<p>M + N + K = 200</p>

<p>N = 40 = K</p>

<p>M = 120</p>

<p>Therefore total time taken will be = Time taken by bike to reach A from Gwalior + Time taken by person walking from A to Agra hence</p>

<p>T = (K + M) ÷ 35 + N ÷ 5 = 160 ÷ 35 + 40 ÷ 5 = 12<span class="math-tex">$\frac{4}{7}$</span></p>
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On a particular day three - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-4679328150-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-5372419086-3"><b>Question</b></h2><p>A car of length 4 m wants to overtake a trailer truck of length 20 m travelling at 36 km/hr within 10 seconds. At what speed should the car travel?
</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 : 34 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>10 m/s</p>
</li><li style="color:green;"><p>12.4 m/s</p>
</li><li style="color:red;"><p>11.6 m/s</p>
</li><li style="color:red;"><p>12 m/s</p>
</li><li style="color:red;"><p>11.8 m/s</p>
</li></ol> <h2 id="content-id-7086534219-4"><b>Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e.<strong> 12.4 m/s.</strong></p>

<p>Total distance to be covered by the car 'd' = (20 + 4) = 24 m</p>

<p>Let the speed of the car be S<sub>1</sub> m/s</p>

<p>Speed of truck S<sub>2</sub> = 36 km/hr = 10 m/s</p>

<p>Both the car and the truck are traveling in the same direction and we know that to overtake the truck, the speed of the car should be more than that of the truck</p>

<p>Hence, relative speed = |S<sub>1</sub> - S<sub>2</sub>|</p>

<p>Time to overtake = 10s</p>

<p>Now, Speed = Distance/ Time</p>

<p>⇒ |S<sub>1</sub> - 10| = 24/10</p>

<p>⇒ S<sub>1</sub> - 10 = 2.4</p>

<p>⇒ S<sub>1</sub> = 10 + 2.4 = 12.4 m/s</p>
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A car of length 4 m wants - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-9104358672-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-9510427638-3"><b>Question</b></h2><p>The ratio of speed of a boat in still water to speed of the current is 10 : 1. If ratio of the time taken by the boat to travel D km downstream to the time taken to travel (D – 45) km upstream is 3 : 2. Find the value of D.
</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 : 38 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>88</p>
</li><li style="color:red;"><p>54</p>
</li><li style="color:red;"><p>110</p>
</li><li style="color:green;"><p>99</p>
</li><li style="color:red;"><p>66</p>
</li></ol> <h2 id="content-id-4375962081-4"><b>Solution</b></h2><p>The correct answer is <strong>Option 4</strong> i.e. <strong>99.</strong></p>

<table border="1" cellpadding="1" cellspacing="1" style="width:300px">
	<tbody>
		<tr>
			<td>
			<p>Understanding</p>
			</td>
			<td>
			<p>Application</p>
			</td>
		</tr>
		<tr>
			<td>
			<p>Suppose speed of boat in still water and speed of the current are 10x and x km/hr respectively.</p>
			</td>
			<td>
			<p>Hence,</p>

			<p>Time taken by the boat to travel D km downstream</p>

			<p>= D/(10x + x) = D/11x</p>

			<p>And</p>

			<p>Time taken by the boat to travel (D – 45) km upstream</p>

			<p>= (D – 45)/(10x – x)</p>

			<p>= (D – 45)/9x</p>
			</td>
		</tr>
		<tr>
			<td>
			<p>Since the ratio = 3 : 2</p>
			</td>
			<td>
			<p>Hence,</p>

			<p>(D/11x)/((D – 45)/9x) = 3 : 2</p>

			<p>⇒ 9D/11(D – 45) = 3 : 2</p>

			<p>⇒ 18D = 33D – 1485</p>

			<p>⇒ 15D = 1485</p>

			<p>⇒ D = 99</p>
			</td>
		</tr>
	</tbody>
</table>
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The ratio of speed of a boat - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-5936781420-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-1863240579-3"><b>Question</b></h2><p>Rahul and Saket and running on a circular track with radius 28 meters. They both start from the same point in the same direction. Speed of Rahul is 4 m/sec and Speed of Saket is 5.5 m/sec. In how much time, Saket will be able to cross Rahul 4 times?
</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 : 39 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>7 minutes 17 seconds</p>
</li><li style="color:red;"><p>6 minutes 40 seconds</p>
</li><li style="color:green;"><p>7 minutes 49 seconds</p>
</li><li style="color:red;"><p>6 minutes 52 seconds</p>
</li><li style="color:red;"><p>7 minutes 28 seconds</p>
</li></ol> <h2 id="content-id-8645927013-4"><b>Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>7 minutes 49 seconds</strong></p>

<p>Given, the radius of the track = 28 meter</p>

<p>Hence, Circumference of the track = 2πr = 2 x 22/7 x 28 = 176 meters</p>

<p>Now, In order to cross Rahul 4 times, Saket will have to make 4 extra rounds of the court.</p>

<p>Hence, extra distance needs to be covered by Saket = 176 x 4 = 704 meters</p>

<p>Now, speed of the Saket = 5.5 m/sec</p>

<p>Speed of Rahul = 4 m/sec</p>

<p>Hence, time needed to cover 704 meter extra distance by Saket = 704/(5.5 - 4) = 704/1.5 = 469.3 seconds</p>

<p>That is equal to 7 minutes 49 seconds.</p>
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Rahul and Saket and running - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-5783109462-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-5782903614-3"><b>Question</b></h2><p>The difference between downstream speed and upstream speed is 3 km/hr and the total time taken during upstream and downstream is 3 hours. What is the downstream speed, if the downstream and upstream distance are 3 km each?
</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 : 36 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>3.3 km/hr</p>
</li><li style="color:red;"><p>2.5 km/hr</p>
</li><li style="color:red;"><p>2.4 km/hr</p>
</li><li style="color:green;"><p>4.3 km/hr</p>
</li><li style="color:red;"><p>3.5 m/hr</p>
</li></ol> <h2 id="content-id-8397501462-4"><b>Solution</b></h2><p><span style="font-size:14px">The correct answer is <strong>Option 4</strong> i.e. <strong>4.3 km/hr</strong></span></p>

<p><span style="font-size:14px">Speed = (distance/time)</span></p>

<p><span style="font-size:14px">Let speed downstream = a km/hr</span></p>

<p><span style="font-size:14px">and speed upstream = b km/hr</span></p>

<p><span style="font-size:14px">Then,</span></p>

<p><span style="font-size:14px">(a - b) = 3</span></p>

<p><span style="font-size:14px">Now, (3/a) + (3/b) = 3</span></p>

<p><span style="font-size:14px">⇒ a + b = ab</span></p>

<p><span style="font-size:14px">⇒ (a + b)<sup>2</sup> = (a - b)<sup>2</sup> + 4ab</span></p>

<p><span style="font-size:14px">⇒ (a + b)<sup>2</sup> = 9 + 4(a + b)</span></p>

<p><span style="font-size:14px">solving the above quadratic equation we get,</span></p>

<p><span style="font-size:14px">a + b = 5.6</span></p>

<p><span style="font-size:14px">and hence, a = 4.3 and b = 1.3</span></p>
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The difference between downstream - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-5980674231-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-8104957326-3"><b>Question</b></h2><p>Two cars A and B were coming towards each other at the speed of 50 km/hr and 60 km/hr respectively. At one point both cars collided, Car A started moving in the direction of Car B with a speed of 20 km/hr and the speed of Car B decreased by 10%. What is the difference between the relative speed of both cars before and after collision?
</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 : 44 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>54 km/hr</p>
</li><li style="color:red;"><p>66 km/hr</p>
</li><li style="color:red;"><p>72 km/hr</p>
</li><li style="color:green;"><p>76 km/hr</p>
</li><li style="color:red;"><p>None of these</p>
</li></ol> <h2 id="content-id-1376028945-4"><b>Solution</b></h2><p>The correct answer is <strong>Option 4</strong> i.e. <strong>76 km/hr</strong>.</p>

<p>Since both the car were moving in the opposite direction,</p>

<p>Relative speed before collision = 50 + 60 = 110 km/hr</p>

<p>After the collision, both cars started moving in the same direction</p>

<p>Speed of car A after collision = 20 km/hr</p>

<p>Speed of car B after collision = 0.9 × 60 = 54 km/hr</p>

<p>Relative speed = 54 - 20 = 34 km/hr</p>

<p>Difference in relative speed = 110 - 34 = 76 km/hr</p>
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Two cars A and B were coming - Time Speed And Distance Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-7164830295-2"><b>Time Speed And Distance Questions Overview</b></h2><p>Time Speed And Distance 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 Time Speed And Distance Questions.</p><h2 id="content-id-7389560142-3"><b>Question</b></h2><p>A and B start running in the same direction on a circular track of a diameter 112 m but their starting points were diametrically opposite. The ratio of the speed of A and B is 4 : 3. Find the distance B covers, when A reaches the starting point of B.
</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 : 39 Seconds </h3></div></div><b> Options :</b><ol><li style="color:green;"><p>132 m</p>
</li><li style="color:red;"><p>352 m</p>
</li><li style="color:red;"><p>90 m</p>
</li><li style="color:red;"><p>105 m</p>
</li><li style="color:red;"><p>220 m</p>
</li></ol> <h2 id="content-id-0793521864-4"><b>Solution</b></h2><p>The correct answer is <strong>Option 1</strong> i.e.<strong> 132 m</strong></p>

<p>The total distance of the track = 2πr</p>

<p>= 2 × 22/7 × 56</p>

<p>= 352 m</p>

<p>Let speeds of A and B be 4x and 3x respectively </p>

<p>Time is taken by A to reach the starting point of B</p>

<p>= πr/4x</p>

<p>= 352/(2 × 4)x</p>

<p>= 176/4x</p>

<p>= 44/x</p>

<p>Now</p>

<p>Total distance covered by B in 44/x time</p>

<p>= 3x × 44/x</p>

<p>= 132 m</p>
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A and B start running in the - Time Speed And Distance Questions for Banking

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<html><body><h2 id="content-id-4928367105-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-9417536082-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In each of these questions the symbols @, &, %, #, and ^ are used with different meanings as follows. You have to decide which of the given conclusion/conclusions follows/follow the given statement.

P@Q: P is neither greater nor equal to Q

P&Q: P is greater than Q

P%Q: P is not smaller than Q

P#Q: P is smaller than and equal to Q

P^Q: P is neither greater nor smaller than Q
</p><h2 id="content-id-6359708124-4"><b>Question</b></h2><p>Statements: J ^ K % L % M, N @ L & O @ P

Conclusions:

I. P # L

II. K & O

III. J & O
</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>I and II are true</p>
</li><li style="color:green;"><p>II and III are true</p>
</li><li style="color:red;"><p>I and III are true</p>
</li><li style="color:red;"><p>I, II, and III are true</p>
</li><li style="color:red;"><p>None is true</p>
</li></ol> <h2 id="content-id-0986742531-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>II and III are true</strong></p>

<p>P@Q: P is neither greater nor equal to Q</p>

<p>P&Q: P is greater than Q</p>

<p>P%Q: P is not smaller than Q</p>

<p>P#Q: P is smaller than and equal to Q</p>

<p>P^Q: P is neither greater nor smaller than Q</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:250px">
	<tbody>
		<tr>
			<td><strong>Symbols</strong></td>
			<td>@</td>
			<td>&</td>
			<td>%</td>
			<td>#</td>
			<td>^</td>
		</tr>
		<tr>
			<td><strong>Meaning</strong></td>
			<td><</td>
			<td>></td>
			<td>≥</td>
			<td>≤</td>
			<td>=</td>
		</tr>
	</tbody>
</table>

<p><strong>Statements:</strong> J ^ K % L % M, N @ L & O @ P</p>

<p>J ^ K % L % M ⇒ J = K ≥ L ≥ M</p>

<p>N @ L & O @ P ⇒ N < L > O < P</p>

<p><strong>Conclusions:</strong></p>

<p>I. P # L ⇒ P ≤ L: <strong>False</strong> (L > O < P, opposite signs are there between the elements)</p>

<p>II. K & O ⇒ K > O: <strong>True</strong> (K ≥ L > O → K > O)</p>

<p>III. J & O ⇒ J > O: <strong>True</strong> (J = K ≥ L  > O → J > O)</p>

<p>Clearly, conclusions II and III are true.</p>

<p>Hence, the correct answer is "<strong>II and III are true".</strong></p>
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Statements J K L - Mathematical Inequality Questions for Banking

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<html><body><h2 id="content-id-9813725064-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-5793164028-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In each of these questions the symbols @, &, %, #, and ^ are used with different meanings as follows. You have to decide which of the given conclusion/conclusions follows/follow the given statement.

P@Q: P is neither greater nor equal to Q

P&Q: P is greater than Q

P%Q: P is not smaller than Q

P#Q: P is smaller than and equal to Q

P^Q: P is neither greater nor smaller than Q
</p><h2 id="content-id-4290536871-4"><b>Question</b></h2><p>Statements : A % B ^ C @ D @ E # F, F & G

Conclusions:

I. B & G

II. D % A

III. C # G
</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>I and II are true</p>
</li><li style="color:red;"><p>II and III are true</p>
</li><li style="color:red;"><p>I and III are true</p>
</li><li style="color:red;"><p>I, II, and III are true</p>
</li><li style="color:green;"><p>Either I or III is true</p>
</li></ol> <h2 id="content-id-3750692814-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 5</strong> i.e. <strong>Either I or III is true</strong></p>

<p>P@Q: P is neither greater nor equal to Q</p>

<p>P&Q: P is greater than Q</p>

<p>P%Q: P is not smaller than Q</p>

<p>P#Q: P is smaller than and equal to Q</p>

<p>P^Q: P is neither greater nor smaller than Q</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:250px">
	<tbody>
		<tr>
			<td><strong>Symbols</strong></td>
			<td>@</td>
			<td>&</td>
			<td>%</td>
			<td>#</td>
			<td>^</td>
		</tr>
		<tr>
			<td><strong>Meaning</strong></td>
			<td><</td>
			<td>></td>
			<td>≥</td>
			<td>≤</td>
			<td>=</td>
		</tr>
	</tbody>
</table>

<p><strong>Statements:</strong> A % B ^ C @ D @ E # F, F & G</p>

<p>A % B ^ C @ D @ E # F ⇒ A ≥ B = C < D < E ≤ F</p>

<p>F & G ⇒ F > G</p>

<p><strong>Conclusions:</strong></p>

<p>I. B & G ⇒ B > G: <strong>False</strong> (B = C < D < E ≤ F > G, opposite signs are there between the elements)</p>

<p>II. D % A ⇒ D ≥ A: <strong>False</strong> (A ≥ B = C < D, opposite signs are there between the elements)</p>

<p>III. C # G ⇒ C ≤ G: <strong>False</strong> (C < D < E ≤ F > G, opposite signs are there between the elements)</p>

<p>Here, Conclusion I and III form complementary pairs. </p>

<p>As, there are opposite signs are there between the elements B and G. Also, B = C so, C can be replaced by B in conclusion III. </p>

<p>Therefore, there are 3 different signs between B and G which are >, <, =.</p>

<p>Hence, the correct answer is "<strong>Either I or III is true</strong>"<strong>.</strong></p>
</body></html>


Statements A B C - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-7394028651-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-2950163487-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In each of these questions the symbols @, &, %, #, and ^ are used with different meanings as follows. You have to decide which of the given conclusion/conclusions follows/follow the given statement.

P@Q: P is neither greater nor equal to Q

P&Q: P is greater than Q

P%Q: P is not smaller than Q

P#Q: P is smaller than and equal to Q

P^Q: P is neither greater nor smaller than Q
</p><h2 id="content-id-2149850367-4"><b>Question</b></h2><p>Statements: M # N & O, O % R ^ S, R @ T, T # U

Conclusions:

I. N % R

II. M & R

III. U % M
</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 : 58 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>I and II are true</p>
</li><li style="color:red;"><p>II and III are true</p>
</li><li style="color:red;"><p>I and III are true</p>
</li><li style="color:red;"><p>I, II, and III are true</p>
</li><li style="color:green;"><p>None is true</p>
</li></ol> <h2 id="content-id-2759186403-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 5</strong> i.e. <strong>None is true</strong></p>

<p>P@Q: P is neither greater nor equal to Q</p>

<p>P&Q: P is greater than Q</p>

<p>P%Q: P is not smaller than Q</p>

<p>P#Q: P is smaller than and equal to Q</p>

<p>P^Q: P is neither greater nor smaller than Q</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:250px">
	<tbody>
		<tr>
			<td><strong>Symbols</strong></td>
			<td>@</td>
			<td>&</td>
			<td>%</td>
			<td>#</td>
			<td>^</td>
		</tr>
		<tr>
			<td><strong>Meaning</strong></td>
			<td><</td>
			<td>></td>
			<td>≥</td>
			<td>≤</td>
			<td>=</td>
		</tr>
	</tbody>
</table>

<p><strong>Statements:</strong> M # N & O, O % R ^ S, R @ T, T # U</p>

<p>M # N & O ⇒ M ≤ N > O</p>

<p>O % R ^ S ⇒ O ≥ R = S </p>

<p>R @ T ⇒ R < T</p>

<p>T # U ⇒ T ≤ U</p>

<p>After combining,</p>

<p>M ≤ N > O ≥ R = S < T ≤ U</p>

<p><strong>Conclusions:</strong></p>

<p>I. N % R ⇒ N ≥ R: <strong>False</strong> (N > O ≥ R → N > R)</p>

<p>II. M & R ⇒ M > R: <strong>False</strong> (M ≤ N > O ≥ R, opposite signs are there between the elements)</p>

<p>III. U % M ⇒ U ≥ M: <strong>False</strong>  (M ≤ N > O ≥ R = S < T ≤ U, opposite signs are there between the elements)</p>

<p>Clearly, no conclusions follow.</p>

<p>Hence, the correct answer is "<strong>None is true</strong>"<strong>.</strong></p>
</body></html>


Statements M N O - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-1827450639-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-0149358726-3"><b>Mathematical Inequality Questions</b></h2><p>Directions: In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below-

‘P#Q’ means ‘P is neither greater than nor equal to Q’

‘P©Q’ means ‘P is neither equal to nor smaller than Q’

‘P%Q’ means ‘P is neither smaller than nor greater than Q’

‘P$Q’ means ‘P is not smaller than Q’

‘P@Q’ means ‘P is not greater than Q’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
</p><h2 id="content-id-3408295176-4"><b>Question</b></h2><p>Statements: O © K @ L, M © L, M % N, P # N

Conclusions: 

I. N # L       

II.M © O       

III. L $ P
</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 : 71 Seconds </h3></div></div><b> Options :</b><ol><li style="color:green;"><p>None is true  </p>
</li><li style="color:red;"><p>Only I is true</p>
</li><li style="color:red;"><p>Only III is true</p>
</li><li style="color:red;"><p>Either I or II is true</p>
</li><li style="color:red;"><p>Only I and III are true</p>
</li></ol> <h2 id="content-id-6142073859-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 1 </strong>i.e. <strong>None is true </strong></p>

<p><strong>Statements: </strong>O © K @ L, M © L, M % N, P # N</p>

<p>O > K ≤ L, M > L, M = N, P < N</p>

<p><strong>Conclusions</strong>:</p>

<p>I. N # L – N < L – <strong>False</strong> (L< M = N; opposite signs between the element.)</p>

<p>II.M © O – M > O – <strong>False</strong> (O > K ≤ L< M; opposite signs between the element.)</p>

<p>III. L $ P – L ≥ P – <strong>False</strong> (O > K ≤ L< M = N > P; opposite signs between the element.)</p>

<p>Hence the correct answer is <strong>None is true.</strong></p>
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Statements O K L M - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-4732680951-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-9508364127-3"><b>Mathematical Inequality Questions</b></h2><p>Directions: In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below-

‘P#Q’ means ‘P is neither greater than nor equal to Q’

‘P©Q’ means ‘P is neither equal to nor smaller than Q’

‘P%Q’ means ‘P is neither smaller than nor greater than Q’

‘P$Q’ means ‘P is not smaller than Q’

‘P@Q’ means ‘P is not greater than Q’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
</p><h2 id="content-id-1364270598-4"><b>Question</b></h2><p>Statements: S % Q, P # Q, U @T# R , P @ R

Conclusions: 

I.T # Q       

II. R © U             

III.R $ Q
</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 : 72 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only I and III are true  </p>
</li><li style="color:red;"><p>Only II and III are true</p>
</li><li style="color:red;"><p>Only I and II are true</p>
</li><li style="color:red;"><p>All are true</p>
</li><li style="color:green;"><p>Only II is true</p>
</li></ol> <h2 id="content-id-3471805692-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 5 </strong>i.e. <strong>Only II is true</strong></p>

<p><strong>Statements</strong>: S%Q, P#Q, U@T#R, P@R</p>

<p>S = Q, P < Q, U ≤ T < R, P ≤ R</p>

<p><strong>Conclusions</strong>:</p>

<p>I.T#Q – T < Q – <strong>False</strong> (U ≤ T < R ≥ P < Q; opposite signs between the element.)</p>

<p>II. R©U – R > U – <strong>True</strong> (U ≤ T < R)</p>

<p>III.R$Q – R ≥ Q – <strong>False</strong> (R ≥ P < Q; opposite signs between the element.)</p>

<p>Hence the correct answer is <strong>Only II is true.</strong></p>
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Statements S Q P Q - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-9487521603-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-2541678930-3"><b>Mathematical Inequality Questions</b></h2><p>Directions: In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below-

‘P#Q’ means ‘P is neither greater than nor equal to Q’

‘P©Q’ means ‘P is neither equal to nor smaller than Q’

‘P%Q’ means ‘P is neither smaller than nor greater than Q’

‘P$Q’ means ‘P is not smaller than Q’

‘P@Q’ means ‘P is not greater than Q’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
</p><h2 id="content-id-7326980154-4"><b>Question</b></h2><p>Statements: A # E, G % C @ D, E $ G

Conclusions:

I. D © A            

II. G % D           

III. D © G
</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 : 72 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only II and either I or III is true</p>
</li><li style="color:red;"><p>Only I and II is true</p>
</li><li style="color:red;"><p>Only III is true</p>
</li><li style="color:green;"><p>Either II or III is true</p>
</li><li style="color:red;"><p>All are true</p>
</li></ol> <h2 id="content-id-5184726930-5"><b>Solution</b></h2><p>The correct answer is<strong> Option 4</strong> i.e. <strong>Either II or III is true </strong></p>

<p><strong>Statements: </strong>A # E, G % C @ D, E $ G</p>

<p>A < E, G = C ≤ D, E ≥ G</p>

<p><strong>Conclusions:</strong></p>

<p>I. D © A – D > A – <strong>False </strong>(A < E ≥ G = C ≤ D; opposite signs between the element.)</p>

<p>II. G % D – G = D – <strong>False</strong> (G = C ≤ D; → D ≥ G)</p>

<p>III. D © G – D > G – <strong>False</strong> (G = C ≤ D → D ≥ G)</p>

<p>Individually conclusions II and III are false, but in the combined form they made the complementary pair and follow the condition of either or.</p>

<p>Hence the correct answer is <strong>Either II or III is true.</strong></p>
</body></html>


Statements A E G C - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-4973120865-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-3416809572-3"><b>Mathematical Inequality Questions</b></h2><p>Directions: In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below-

‘P#Q’ means ‘P is neither greater than nor equal to Q’

‘P©Q’ means ‘P is neither equal to nor smaller than Q’

‘P%Q’ means ‘P is neither smaller than nor greater than Q’

‘P$Q’ means ‘P is not smaller than Q’

‘P@Q’ means ‘P is not greater than Q’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
</p><h2 id="content-id-0349781562-4"><b>Question</b></h2><p>Statements: P @ S % Y, T © Y

Conclusions:

I. T © S             

II. P # T             

III. Y $ P
</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 : 72 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only I and III are true </p>
</li><li style="color:red;"><p>Only II and III are true</p>
</li><li style="color:red;"><p>Only I and II are true</p>
</li><li style="color:green;"><p>All are true</p>
</li><li style="color:red;"><p>None of these</p>
</li></ol> <h2 id="content-id-7846120395-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 4 </strong>i.e.<strong> All are true</strong></p>

<p><strong>Statements:</strong> P @ S % Y, T © Y</p>

<p>P ≤ S = Y, T > Y</p>

<p><strong>Conclusions:</strong></p>

<p>I. T © S – T > S – <strong>True </strong>(S = Y < T)</p>

<p>II. P # T – P < T – <strong>True</strong> (P ≤ S = Y < T)</p>

<p>III. Y $ P – Y ≥ P – <strong>True </strong>(P ≤ S = Y)</p>

<p>Hence the correct answer is <strong>All are true.</strong></p>
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Statements P S Y T - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-0659748231-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-5617832094-3"><b>Mathematical Inequality Questions</b></h2><p>Directions: In the following questions, the symbols @, #, %, $ and © are used with the following meaning as illustrated below-

‘P#Q’ means ‘P is neither greater than nor equal to Q’

‘P©Q’ means ‘P is neither equal to nor smaller than Q’

‘P%Q’ means ‘P is neither smaller than nor greater than Q’

‘P$Q’ means ‘P is not smaller than Q’

‘P@Q’ means ‘P is not greater than Q’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
</p><h2 id="content-id-6920314785-4"><b>Question</b></h2><p>Statements: Q # P © U @ X $ M % K © L @ R  

Conclusions: 

I. L # X        

II. X $ Q

III. U © R

 
</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 : 69 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>None is true</p>
</li><li style="color:green;"><p>Only I is true</p>
</li><li style="color:red;"><p>Only III is true    </p>
</li><li style="color:red;"><p>Either I or II is true</p>
</li><li style="color:red;"><p>Only I and III are true</p>
</li></ol> <h2 id="content-id-2701589463-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>Only I is true</strong></p>

<p><strong>Statements: </strong>Q # P © U @ X $ M % K © L @ R  </p>

<p>Q < P > U ≤ X ≥ M = K > L ≤ R</p>

<p><strong>Conclusions:</strong></p>

<p>I. L # X – L < X – <strong>True</strong> ( X ≥ M = K > L)</p>

<p>II. X $ Q – X ≥ Q – <strong>False</strong> (Q < P > U ≤ X; opposite signs between the element.)</p>

<p>III. U© R – U > R – <strong>False</strong> (U ≤ X ≥ M = K> L ≤ R; opposite signs between the element.)</p>

<p>Hence the correct answer is <strong>Only I is true.</strong></p>
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Statements Q P U X - Mathematical Inequality Questions for Banking

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd">
<html><body><h2 id="content-id-3481902576-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-1302465798-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In the following questions, the symbols @, &, %, $ and # are used with the following meaning as illustrated below:

‘P @ Q’ means ‘P is not smaller than Q’

‘P &Q’ means ‘P is neither greater than nor equal to Q’

‘P# Q’ means ‘P is neither greater than nor smaller than Q’

‘P $ Q’ means ‘P is not greater than Q’

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

Now in each of the following questions assuming the given statements to be true, find which of the given conclusions follow and give answer accordingly.
</p><h2 id="content-id-3592710486-4"><b>Question</b></h2><p>Statements: S % U % V # R, Q $ A % B $ V

Conclusion:

I. B & S               

II. R & S
</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 : 67 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only conclusion I follows</p>
</li><li style="color:red;"><p>Only conclusion II follows</p>
</li><li style="color:red;"><p>Either conclusion I or II follows</p>
</li><li style="color:red;"><p>Neither conclusion I nor II follows</p>
</li><li style="color:green;"><p>Both conclusions I and II follow</p>
</li></ol> <h2 id="content-id-8674209153-5"><b>Solution</b></h2><p>The correct answer is<strong> Option 5</strong> i.e. <strong>Both conclusions I and II follow</strong></p>

<p><strong>Statement:</strong></p>

<p>S % U % V # R, Q $ A % B $ V</p>

<p>S > U > V = R, Q ≤ A > B ≤V</p>

<p><strong>Conclusions:</strong></p>

<p>I. B & S – B < S – <strong>True</strong> (S > U > V ≥ B)         </p>

<p>II. R & S – R < S – <strong>True</strong> (S > U > V = R)</p>

<p>Hence the correct answer is <strong>Both conclusions I and II follow.</strong></p>
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Statements S U V R - Mathematical Inequality Questions for Banking

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<html><body><h2 id="content-id-9637128054-2"><b>Mathematical Inequality Questions Overview</b></h2><p>Mathematical Inequality 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 Mathematical Inequality Questions.</p><h2 id="content-id-5970864213-3"><b>Mathematical Inequality Questions</b></h2><p>Direction: In the following questions, the symbols @, &, %, $ and # are used with the following meaning as illustrated below:

‘P @ Q’ means ‘P is not smaller than Q’

‘P &Q’ means ‘P is neither greater than nor equal to Q’

‘P# Q’ means ‘P is neither greater than nor smaller than Q’

‘P $ Q’ means ‘P is not greater than Q’

‘P % Q’ means ‘P is neither smaller than nor equal to Q’.

Now in each of the following questions assuming the given statements to be true, find which of the given conclusions follow and give answer accordingly.
</p><h2 id="content-id-1352706948-4"><b>Question</b></h2><p>Statements:

O % Q % J & P, T % D @ Q

Conclusion:

I. O % T                

II. T % J
</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 : 66 Seconds </h3></div></div><b> Options :</b><ol><li style="color:red;"><p>Only conclusion I follows</p>
</li><li style="color:green;"><p>Only conclusion II follows</p>
</li><li style="color:red;"><p>Either conclusion I or II follows</p>
</li><li style="color:red;"><p>Neither conclusion I nor II follows</p>
</li><li style="color:red;"><p>Both conclusions I and II follow</p>
</li></ol> <h2 id="content-id-1240589673-5"><b>Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>Only conclusion II follows</strong></p>

<p><strong>Statements:</strong></p>

<p>O % Q % J & P, T % D @ Q</p>

<p>O > Q > J < P, T > D ≥ Q</p>

<p><strong>Conclusion:</strong></p>

<p>I. O % T – O > T – <strong>False </strong>(T > D ≥ Q < O)</p>

<p>II. T % J – T > J – <strong>True</strong> (T > D ≥ Q > J)</p>

<p>Hence the correct answer is <strong>Only conclusion II follows.</strong></p>
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