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Powered by Question2AnswerAnswered: Which of the following is required to create an HTML document?
https://aptitude.gateoverflow.in/173/which-of-the-following-is-required-to-create-an-html-document?show=4772#a4772
Text editor is required to create HTML document but to test/run it Browser is also required.Computer Knowledgehttps://aptitude.gateoverflow.in/173/which-of-the-following-is-required-to-create-an-html-document?show=4772#a4772Sat, 18 Aug 2018 15:15:20 +0000Answered: Clock - Relative speed is also increasing every hour
https://aptitude.gateoverflow.in/4769/clock-relative-speed-is-also-increasing-every-hour?show=4770#a4770
After 30daysQuantitative Aptitudehttps://aptitude.gateoverflow.in/4769/clock-relative-speed-is-also-increasing-every-hour?show=4770#a4770Mon, 13 Aug 2018 12:24:48 +0000CAT 2007-06
https://aptitude.gateoverflow.in/4768/cat-2007-06
How many pairs of positive integers m, n<br />
satisfy $\frac{1}{m} + \frac{4}{n}=\frac{1}{12}$,where n is an odd integer less than 60?<br />
b. 4<br />
c. 7<br />
d. 5<br />
e. 3Quantitative Aptitudehttps://aptitude.gateoverflow.in/4768/cat-2007-06Sun, 05 Aug 2018 02:26:45 +0000Answered: Interview Question
https://aptitude.gateoverflow.in/4764/interview-question?show=4767#a4767
Option B is correct because You must win 2nd game to will series, So ABA not other bcz A is a stronger player than BQuantitative Aptitudehttps://aptitude.gateoverflow.in/4764/interview-question?show=4767#a4767Thu, 02 Aug 2018 07:49:35 +0000Answered: Permutation
https://aptitude.gateoverflow.in/4746/permutation?show=4762#a4762
<p>let men speakers be<strong> M</strong> and women speakers be <strong>W</strong> then,</p>
<table border="1" cellpadding="1" style="width:500px; margin: auto; border-spacing: 1px;">
<tbody>
<tr>
<td><strong>M</strong></td>
<td><strong>M</strong></td>
<td><strong>M</strong></td>
<td><strong>M</strong></td>
<td><strong>W W W</strong></td>
</tr>
</tbody>
</table>
<p>Now this problem is boil down to 5 Box problem where in one Box there are 3 W So,</p>
<p>For arranging <strong>3 W</strong> there are <strong>3! ways</strong>.</p>
<p>For arranging <strong>5 Boxes </strong>there are <strong>5! ways</strong> so, Total no. of ways = 5! x 3! =<strong>720</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4746/permutation?show=4762#a4762Wed, 01 Aug 2018 04:37:48 +0000Answered: CAT1998-94
https://aptitude.gateoverflow.in/3275/cat1998-94?show=4761#a4761
For remainder of 8, we need to check only last three digits of given no.<br />
<br />
So 354%8=2<br />
<br />
Option (C)Quantitative Aptitudehttps://aptitude.gateoverflow.in/3275/cat1998-94?show=4761#a4761Tue, 31 Jul 2018 08:27:39 +0000Answered: MCA Exam
https://aptitude.gateoverflow.in/4675/mca-exam?show=4759#a4759
124Logical Reasoninghttps://aptitude.gateoverflow.in/4675/mca-exam?show=4759#a4759Thu, 26 Jul 2018 09:57:28 +0000Answered: Nptel
https://aptitude.gateoverflow.in/4586/nptel?show=4758#a4758
Ans: A,C<br />
<br />
Option A :<br />
<br />
Mr Z says YES<br />
<br />
If answer to the first question is yes, it either means that Mr. Z is a truth teller and he speaks the truth that the left route leads to the capital or it means that he is a liar and he tells the lie that right route leads to the capital<br />
<br />
Option C:<br />
<br />
Mr Z answers YES<br />
<br />
Supposing Mr. Z is truthful, the other type will be a liar ,and that person will tell lies that right road leads to the capital<br />
<br />
Now, supposing Mr.Z is a liar ,the other type will be truthful and he will truth fully say right road leads to capital .<br />
<br />
(But, Mr Z told lies about this)<br />
<br />
Option B:<br />
<br />
Mr. Z answers YES<br />
<br />
Suppose Mr Z is truthful, he says truth that left road leads to capital.<br />
<br />
Suppose Mr. Z is liar ,he says lies that left road leads to capital. (BUT,the left road actually leads to capital)Logical Reasoninghttps://aptitude.gateoverflow.in/4586/nptel?show=4758#a4758Sun, 22 Jul 2018 03:55:56 +0000Answered: CAT1994-9
https://aptitude.gateoverflow.in/4223/cat1994-9?show=4755#a4755
<p>ACBD</p>
<p>A. The quintessence, for example, a lizard is only fully understandable in the light of the particular possibilities and limitations dictated by its reptilian nature.</p>
<p>C. We seldom examined the basic character of its anatomy.</p>
<p>B. The films we made, tried to document the lives of particular animals showing how each found its food, defended itself and courted etc</p>
<p>D. One element, however, was missing.</p>
<p>page no 274 question no 13</p>
<p><a rel="nofollow" href="https://books.google.co.in/books?id=L0u1pEljGrUC&pg=PA274&lpg=PA274&dq=The+quintessence,+for+example,+a+lizard+is+only+fully+understandable+in+the+light+of+the+particular+possibilities+and+limitations+dictated+by+its+reptilian+nature.+B.+The+films+we+made,+tried+to+document+the+lives+of+particular+animals+showing+how+each+found+its+food,+defended+itself+and+courted+etc+C.+We+seldom+examined+the+basic+character+of+its+anatomy.+D.+One+element,+however,+was+missing.&source=bl&ots=o8vdvbd_9v&sig=5PCVjfFfNaEmfaoSEP6pGzbD-j4&hl=en&sa=X&ved=2ahUKEwiKv8TUqqDcAhVLvI8KHbNoDtIQ6AEwAHoECAAQAQ#v=onepage&q=The%20quintessence%2C%20for%20example%2C%20a%20lizard%20is%20only%20fully%20understandable%20in%20the%20light%20of%20the%20particular%20possibilities%20and%20limitations%20dictated%20by%20its%20reptilian%20nature.&f=false">https://books.google.co.in/books?id=L0u1pEljGrUC&pg=PA274&lpg=PA274&dq=The+quintessence,+for+example,+a+lizard+is+only+fully+understandable+in+the+light+of+the+particular+possibilities+and+limitations+dictated+by+its+reptilian+nature.+B.+The+films+we+made,+tried+to+document+the+lives+of+particular+animals+showing+how+each+found+its+food,+defended+itself+and+courted+etc+C.+We+seldom+examined+the+basic+character+of+its+anatomy.+D.+One+element,+however,+was+missing.&source=bl&ots=o8vdvbd_9v&sig=5PCVjfFfNaEmfaoSEP6pGzbD-j4&hl=en&sa=X&ved=2ahUKEwiKv8TUqqDcAhVLvI8KHbNoDtIQ6AEwAHoECAAQAQ#v=onepage&q=The%20quintessence%2C%20for%20example%2C%20a%20lizard%20is%20only%20fully%20understandable%20in%20the%20light%20of%20the%20particular%20possibilities%20and%20limitations%20dictated%20by%20its%20reptilian%20nature.&f=false</a></p>
<p> </p>
<p> </p>English Languagehttps://aptitude.gateoverflow.in/4223/cat1994-9?show=4755#a4755Sun, 15 Jul 2018 05:10:20 +0000Answered: VMware
https://aptitude.gateoverflow.in/4752/vmware?show=4754#a4754
<p>for clock 1: gain per hour =20/24=5/6</p>
<p>for clock 2 : loss per hour = 40/24=10/6</p>
<p>so for six hours difference=10/6 *6 + 5/6 * 6=15 seconds</p>
<p>so when clock 1 is at 4 pm clock 2 will be at <strong>3:59:45</strong></p>
<p> </p>Logical Reasoninghttps://aptitude.gateoverflow.in/4752/vmware?show=4754#a4754Sat, 14 Jul 2018 05:52:08 +0000Answered: self doubt
https://aptitude.gateoverflow.in/4724/self-doubt?show=4748#a4748
84/17Quantitative Aptitudehttps://aptitude.gateoverflow.in/4724/self-doubt?show=4748#a4748Wed, 11 Jul 2018 08:21:04 +0000Answered: A hard copy of a document is
https://aptitude.gateoverflow.in/186/a-hard-copy-of-a-document-is?show=4743#a4743
1. PRINTED ON THE PRINTER <br />
2,3,4,5 Are not exist in realComputer Knowledgehttps://aptitude.gateoverflow.in/186/a-hard-copy-of-a-document-is?show=4743#a4743Sat, 07 Jul 2018 07:35:59 +0000Answered: CAT1996-159
https://aptitude.gateoverflow.in/3830/cat1996-159?show=4741#a4741
<p>Here, new technique refers to the design stage is performed in $3,4, \& \hspace{0.1cm} 5^{th} month$ & in the $5^{th}$ month $5$ people are working on the design stage. And the coding stage was finished in $6^{th} - 8^{th}$ months.</p>
<p>The new table will be look like:</p>
<table border="1" cellpadding="1" style="width:90%">
<thead>
<tr>
<th scope="col">Month</th>
<th scope="col">Stage</th>
<th scope="col">Cost(Rs. '000 per man-month)</th>
</tr>
<tr>
<td>$1-2$</td>
<td>Specification</td>
<td>$40$</td>
</tr>
<tr>
<td>$3-5$</td>
<td>Design</td>
<td>
<p>$20$</p>
</td>
</tr>
<tr>
<td>$6-8$</td>
<td>Coding</td>
<td>
<p>$10$</p>
</td>
</tr>
<tr>
<td>$9-10$</td>
<td>Testing</td>
<td>
<p>$15$</p>
</td>
</tr>
<tr>
<td>$11-15$</td>
<td>Maintenance</td>
<td>$10$</td>
</tr>
</thead>
</table>
<p>The number of people employed in each month is:</p>
<table border="1" cellpadding="1" style="width:500px">
<tbody>
<tr>
<th scope="row">Month</th>
<td>$1$</td>
<td>$2$</td>
<td>$3$</td>
<td>$4$</td>
<td>$5$</td>
<td>$6$</td>
<td>$7$</td>
<td>$8$</td>
<td>$9$</td>
<td>$10$</td>
<td>$11$</td>
<td>$12$</td>
<td>$13$</td>
<td>$14$</td>
<td>$15$</td>
</tr>
<tr>
<th scope="row">No. of people employed</th>
<td>$2$</td>
<td>$3$</td>
<td>$4$</td>
<td>$3$</td>
<td>$5$</td>
<td>$5$</td>
<td>$5$</td>
<td>$4$</td>
<td>$4$</td>
<td>$1$</td>
<td>$3$</td>
<td>$3$</td>
<td>$1$</td>
<td>$1$</td>
<td>
<p>$1$</p>
</td>
</tr>
</tbody>
</table>
<p>We can clearly see that, the maintenance stage has the lowest average cost per man-month .</p>
<p>In the $1-5$ month span,</p>
<p>average cost per man-month in $1-2$ month is $40,000$</p>
<p>average cost per man-month in $3-5$ month is $20,000$</p>
<p>So, average cost per man-month in $1-5$ month is = $\dfrac{(40,000+20,000)}{2} = 30,000$</p>
<p>In the $9-13$ month span,</p>
<p>avg. cost per man-month in $9-10$ month is $15,000$</p>
<p>avg. cost per man-month is $10-13$ month is $10,000$</p>
<p>So, avg. cost per man-month in $9-13$ month is $\dfrac{(15,000+10,000)}{2} = 12,500$</p>
<p>In the $11-15$ month span, average cost per man-month is $10,000$</p>
<p>So, the $11-15$ month span will be having lowest average cost per man-month under the new technique.</p>
<p><strong>Answer is option C)</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3830/cat1996-159?show=4741#a4741Mon, 02 Jul 2018 08:51:13 +0000Answered: CAT1996-156
https://aptitude.gateoverflow.in/3827/cat1996-156?show=4740#a4740
If the coding stage was performed in the $5^{th}$ month, then the cost will be $10,000 $ per man-month which is $10,000 \times 4 = 40,000$ because the coding stage was supposed to perform by $4$ people.<br />
<br />
But,<br />
<br />
now the design stage is performed in the $5^{th}$ month & $5$ people are working on that stage and for performing or doing the design stage the cost is $20,000$ per man-month, & the total cost will be $20,000 \times 5 = 1,00,000$ in the $5^{th}$ month.<br />
<br />
In the $5^{th}$ month, the cost was supposed to be $40,000$<br />
<br />
& now the cost incurred = $1,00,000$<br />
<br />
Percentage change in the cost incurred in the $5^{th}$ month = $\dfrac{(1,00,000-40,000)}{40,000} \times 100\% \\ = \dfrac{60,000}{40,000} \times 100\% \\ = \dfrac{6}{4} \times 100\% \\ = \dfrac{3}{2} \times 100\% \\ = 150\%$Quantitative Aptitudehttps://aptitude.gateoverflow.in/3827/cat1996-156?show=4740#a4740Mon, 02 Jul 2018 06:41:52 +0000Answered: Verbal Reasoning / Verbal Analogy HELP
https://aptitude.gateoverflow.in/4293/verbal-reasoning-verbal-analogy-help?show=4738#a4738
<p>All of these are <strong>synonyms</strong></p>
<ul>
<li><strong>CLANDESTINE is to SECRECY</strong> as <strong>CANDID is to HONESTY</strong></li>
<li><strong>CLASH is to DISAGREE</strong> as <strong>REBUKE is to CRITICIZE</strong></li>
<li><strong>SELFLESS is to GREED </strong>as<strong> RASH is to CAUTION</strong></li>
<li><strong>RESILIENT is to RECOVER </strong>as<strong> RESTRAINED is to CONTROL</strong></li>
<li><strong>CREDIBLE is to BELIEVE </strong>as <strong>BRITTLE is to BREAK</strong></li>
</ul>English Languagehttps://aptitude.gateoverflow.in/4293/verbal-reasoning-verbal-analogy-help?show=4738#a4738Thu, 28 Jun 2018 20:50:45 +0000Answered: CAT1996-167
https://aptitude.gateoverflow.in/3838/cat1996-167?show=4736#a4736
C=MarchQuantitative Aptitudehttps://aptitude.gateoverflow.in/3838/cat1996-167?show=4736#a4736Wed, 27 Jun 2018 08:13:34 +0000Answered: Problem on ages (RS AGGARWAL)
https://aptitude.gateoverflow.in/4707/problem-on-ages-rs-aggarwal?show=4732#a4732
<p>Assum father's present age to be $x$ $years$ and son's present age to $y$ $years$.</p>
<p>Four years ago father's age is 3 times the age of his son means:</p>
<p>$x - 4 = 3(y-4)$</p>
<p> The total of the ages of the father and the son after four years<strong> will be</strong> 64 years. <strong>Will be means that the question is talking about future, and therefore the correct second equation is:</strong></p>
<p>$x + 4 + y + 4 = 64$</p>
<p>Solving the two equations we get $x = 40$, father is presently $40$ <strong>years old</strong> and $y = 16$, son is presently $16$ <strong>years old.</strong></p>
<p> </p>
<p> </p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4707/problem-on-ages-rs-aggarwal?show=4732#a4732Sun, 17 Jun 2018 11:39:27 +0000Answered: madeeasy work book
https://aptitude.gateoverflow.in/4714/madeeasy-work-book?show=4718#a4718
Assuming, its usual speed is $x \hspace{0.1cm} km/hr $<br />
<br />
∴ New Speed will be $= x+ 33.33\% \hspace{0.1cm} of \hspace{0.1cm} x \\ = x+ \dfrac{1}{3} \text{ of x } \\ = \dfrac{4x}{3} \hspace{0.1cm} km/hr$<br />
<br />
In $x \hspace{0.1cm} km/hr$ speed $1500 \hspace{0.1cm} km$ can be covered in $\dfrac{1500}{x} \hspace{0.1cm} hr$ $\qquad \left [ \because Distance = Speed \times Time \\ \qquad \qquad Or, Time = \dfrac{Distance}{Speed}\right ]$<br />
<br />
Now In $\dfrac{4x}{3} km/hr$ speed $1500 \hspace{0.1cm} km$ can be covered in $\dfrac{1500}{\dfrac{4x}{3}} = \dfrac{1500 \times 3}{4x} \hspace{0.1cm} hr$<br />
<br />
As the plane lates for half an hour, the difference between the usual time taken by the plane and time taken by plane in new speed will be half an hour.<br />
<br />
$∴\dfrac{1500}{x} - \dfrac{1500 \times 3}{4x} = \dfrac{1}{2}$<br />
<br />
Or, $\dfrac{(1500 \times 4) - (1500 \times 3)}{4x} = \dfrac{1}{2}$<br />
<br />
Or. $\dfrac{6000 - 4500}{4x} = \dfrac{1}{2}$<br />
<br />
Or, $\dfrac{1500}{4x} = \dfrac{1}{2}$<br />
<br />
Or, $4x = 1500 \times 2$<br />
<br />
Or, $x = \dfrac{3000}{4} = 750\hspace{0.1cm} km/hr$<br />
<br />
So, the plane's usual speed is $750\hspace{0.1cm} km/hr$<br />
<br />
∴ New speed will be $\dfrac{4x}{3}$ i.e. $\dfrac{4 \times 750}{3} = 1000 \hspace{0.1cm} km/hr$<br />
<br />
∴ The plane's usual speed is $750 \hspace{0.1cm} km/hr$ & New speed is $1000 \hspace{0.1cm} km/hr$ which means the plane increases its speed by $250 \hspace{0.1cm} km/hr$ than its ususal speed to make up the timing .Quantitative Aptitudehttps://aptitude.gateoverflow.in/4714/madeeasy-work-book?show=4718#a4718Sat, 09 Jun 2018 13:51:48 +0000Answered: Fill in the blanks
https://aptitude.gateoverflow.in/4688/fill-in-the-blanks?show=4712#a4712
<p>The question is: There isn't a<strong> s_e_r </strong>of dustbin my sister's room<strong>.</strong></p>
<p>The answer would be: <strong>shear</strong></p>
<p>i,e, <strong>There isn't a shear of dustbin my sister's room.</strong></p>English Languagehttps://aptitude.gateoverflow.in/4688/fill-in-the-blanks?show=4712#a4712Fri, 08 Jun 2018 10:44:35 +0000Answered: Number Logic
https://aptitude.gateoverflow.in/4679/number-logic?show=4708#a4708
answer : 9<br />
::9-4+7=12<br />
::4-1+1=4<br />
::5-2+6=9Logical Reasoninghttps://aptitude.gateoverflow.in/4679/number-logic?show=4708#a4708Thu, 07 Jun 2018 07:02:41 +0000Answered: How to solve this?
https://aptitude.gateoverflow.in/4704/how-to-solve-this?show=4706#a4706
$x+\dfrac{1}{x} = 4$<br />
<br />
squaring on both sides , we get -<br />
<br />
Or, $\left (x+\dfrac{1}{x} \right)^2 = 4^2$<br />
<br />
Or, $x^2+\left (\dfrac{1}{x} \right )^2 + 2.x.\dfrac{1}{x} = 16$<br />
<br />
Or, $x^2+\left (\dfrac{1}{x} \right )^2 + 2 = 16$<br />
<br />
Or, $x^2+\dfrac{1}{x^2}= 16-2 = 14$ ------------------1)<br />
<br />
Now, we'll cubing on both sides-<br />
<br />
$\left (x^2+\dfrac{1}{x^2} \right)^3 = (14)^3$<br />
<br />
Or, $ (x^2)^3+\left(\dfrac{1}{x^2}\right)^3 + 3.(x^2)^2.\dfrac{1}{x^2}+3.x^2.\left(\dfrac{1}{x^2}\right)^2 = (14)^3 = 2744$ $ \color{purple}{\left [\because (a+b)^3 = a^3+b^3+3a^2b+3ab^2 \right ]}$<br />
<br />
Or, $ x^{2 \times 3}+\left(\dfrac{1}{x^{2 \times 3}}\right) + 3.x^{2 \times 2}.\dfrac{1}{x^2}+3.x^2.\left(\dfrac{1}{x^{2 \times 2}}\right) =2744$ <br />
<br />
Or, $x^{6}+\dfrac{1}{x^{6}} + 3.x^{4}.\dfrac{1}{x^2}+3.x^2.\dfrac{1}{x^{4}}=2744$<br />
<br />
Or, $x^{6}+\dfrac{1}{x^{6}} + 3.x^{2}+3.\dfrac{1}{x^{2}}=2744$<br />
<br />
Or, $x^{6}+\dfrac{1}{x^{6}} + 3\left (x^{2}+\dfrac{1}{x^{2}} \right )=2744$<br />
<br />
Or, $x^{6}+\dfrac{1}{x^{6}} + 3\left (14 \right )=2744$ $ \qquad \qquad \left [ \color{Blue }{ \because \text{We know,} \left (x^{2}+\dfrac{1}{x^{2}} \right ) = 14} \color{teal}{\text{ ----from 1)} }\right ]$<br />
<br />
Or, $x^{6}+\dfrac{1}{x^{6}} + 42 = 2744$<br />
<br />
Or, $\color{Green}{x^{6}+\dfrac{1}{x^{6}}} = 2744-42 = \color{pink}{2702}$Quantitative Aptitudehttps://aptitude.gateoverflow.in/4704/how-to-solve-this?show=4706#a4706Tue, 05 Jun 2018 23:38:35 +0000Answered: CAT1996-162
https://aptitude.gateoverflow.in/3833/cat1996-162?show=4703#a4703
<p>Total Investment in Chittoor in $\text{1995 & 1996 =} (2981.1+3489.5) \\ \qquad \qquad = Rs. \hspace{0.1cm}6470.6$ </p>
<p>Total Investment in Khammam in $\text{1995 & 1996 =} (7081.6+ 8352.0) \\ \qquad \qquad = Rs. \hspace{0.1cm}15433.6$ </p>
<p>∴ <strong>Total investment in Khammam is</strong> $\left \{ \dfrac{15433.6}{6470.6} = 2.3851 \approx 2.4 \right \}$ <strong>times the total investment in Chittoor in the given two years.</strong></p>
<p><strong>∴ Answer is Option C)</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3833/cat1996-162?show=4703#a4703Tue, 05 Jun 2018 16:47:59 +0000Answered: CAT1996-165
https://aptitude.gateoverflow.in/3836/cat1996-165?show=4702#a4702
<p>Total investment in Khammam in $1995 = 7081.6$</p>
<p>Total investment in Khammam in $1996 = 8352$</p>
<p>∴ Percentage increase of investment in Khammamin $1995-96 = \dfrac{8352-7081.6}{7081.6} = \dfrac{1270.4}{7081.6} = 0.1793 \hspace{0.2cm}i.e. 17.93\%$</p>
<p>Now, in 1997 $\{ 8352 \times 17.93\% = 1497.5136 \hspace{0.1cm} Rs. \}$ extra will be given to Khammam District than 1996</p>
<p>So, total investment in $1997$ will be $(8352+1497.5136 =)Rs. \hspace{0.1cm}9849.5136 \approx Rs. \hspace{0.1cm}9850$ </p>
<p><strong>∴ Answer will be Option A)</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3836/cat1996-165?show=4702#a4702Tue, 05 Jun 2018 16:18:08 +0000Answered: CAT1996-164
https://aptitude.gateoverflow.in/3835/cat1996-164?show=4701#a4701
<p>The following calculations worked for Khammam District </p>
<p>In Electricity area, the percentage increase of investment in $1996$ that of $1995$ is = $\dfrac{(2365.1-2065.8)}{2065.8}\% =\dfrac{299.3}{2065.8}\% = 14.48\% $</p>
<p>In Chemical area, the percentage increase of investment in $1996$ that of $1995$ is = $\dfrac{(986.4-745.5)}{745.5}\% =\dfrac{240.9}{745.5}\% = 32.31\% $</p>
<p>In Solar area, the percentage increase of investment in $1996$ that of $1995$ is = $\dfrac{(1792.1-1363.5)}{1363.5}\% =\dfrac{428.6}{1363.5}\% =31.43\% $</p>
<p>In Nuclear area, the percentage increase of investment in $1996$ that of $1995$ is = $\dfrac{(2182.1-1674.3)}{1674.3}\% =\dfrac{507.8}{1674.3}\% = 30.32\% $</p>
<p><strong>∴ Electricity area in $1996$ showed the least percent increase over the investment in that area in $1995$.</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3835/cat1996-164?show=4701#a4701Thu, 31 May 2018 21:31:21 +0000Answered: CAT1996-163
https://aptitude.gateoverflow.in/3834/cat1996-163?show=4700#a4700
In $1995$,<br />
<br />
Investment in Electricity in Chittoor= $815.2$ Rs.<br />
<br />
Investment in Electricity in Khammam= $2065.8$ Rs. <br />
<br />
Investment in Thermal Energy in Chittoor= $690.4$ Rs.<br />
<br />
Investment in Thermal Energy in Khammam= $1232.7$ Rs.<br />
<br />
∴ Total investment in Electricity & Thermal Energy in $1995$ = $815.2 + 2065.8 + 690.4 + 1232.7 = 4804.1$ Rs.<br />
<br />
∴ Total investment in Electricity & Thermal Energy in $1995$ are of a total of $\left [ \dfrac{4804.1}{2981.1+7081.6}\% \right ] = 47.74\% $ of the total investment made in these two districts (Chittoor & Khammam) in $1995$.Quantitative Aptitudehttps://aptitude.gateoverflow.in/3834/cat1996-163?show=4700#a4700Thu, 31 May 2018 21:11:43 +0000Answered: CAT1996-161
https://aptitude.gateoverflow.in/3832/cat1996-161?show=4699#a4699
<p>Total investment in $1995 = \left (2981.1 + 7081.6 \right) = 10062.7 \hspace{0.1cm}Rs.$</p>
<p>Whereas, Total investment in $1996 = \left (3489.5 + 8352.0 \right) = 11841.5 \hspace{0.1cm}Rs. $</p>
<p>∴ Total investment of $1996$ is $\left [\dfrac{(11841.5-10062.7)}{10062.7} = 0.1767 \hspace{0.1cm} \right ] i.e. \hspace{0.1cm} 17.67\%$ greater than the total investment of $1995$.</p>
<p>∴ <strong>The answer will be <em>Option D )</em></strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3832/cat1996-161?show=4699#a4699Thu, 31 May 2018 21:00:57 +0000Answered: CAT1996-168
https://aptitude.gateoverflow.in/3839/cat1996-168?show=4697#a4697
<p>In the month of March, Sales is = $35$, whereas, in Jan, Sales is = $30$</p>
<p>∴ Percentage increase = $\dfrac{35-30}{30}\% = \dfrac{5}{30}\% = 16.66\%$</p>
<p>In the month of September, Sales is = $39$, whereas, in July, Sales is = $36$</p>
<p>∴ Percentage increase = $\dfrac{39-36}{36}\% = \dfrac{3}{36}\% = 8.33\%$</p>
<p>In the month of July, Sales is = $36$, whereas, in May, Sales is = $36$</p>
<p>∴ Percentage increase = $0\%$</p>
<p>In the month of May, Sales is = $36$, whereas, in March, Sales is = $35$</p>
<p>∴ Percentage increase = $\dfrac{36-35}{35}\% = \dfrac{1}{35}\% = 2.85\%$</p>
<p><strong>∴</strong> <strong>In March, the percentage increases in Sales two months before, the highest (which is</strong> $16.66\%$)</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3839/cat1996-168?show=4697#a4697Thu, 31 May 2018 13:10:52 +0000Answered: CAT1996-170
https://aptitude.gateoverflow.in/3841/cat1996-170?show=4696#a4696
<p>As nothing is mentioned about employee number is in hundred or in thousand, I'm assuming it is in thousand (by seeing the given options)</p>
<p>In Jan, the total number of employees are $10$</p>
<p>Whereas, in Nov, the total number of employees is $16$</p>
<p>So, in the given period means from Jan-Nov Company takes a total of $(16-10)= 6$ which means $6,000$ employees.</p>
<p>And, among the given options the closest number of $6000$ is $5800$ which is Option C)</p>
<p>∴<strong> Answer is Option C)</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3841/cat1996-170?show=4696#a4696Thu, 31 May 2018 12:32:33 +0000Answered: CAT1996-169
https://aptitude.gateoverflow.in/3840/cat1996-169?show=4695#a4695
<p>In March Cost is = $30$, whereas in Jan Cost is = $29$</p>
<p>So, the difference between cost is = $(30-29)= 1$</p>
<p>In May Cost is = $34$ , whereas in March cost is = $30$</p>
<p>So, the difference between cost is = $(34-30)= 4$</p>
<p>In July Cost is = $35$ , whereas in May cost is = $34$</p>
<p>So, the difference between cost is = $(35-34)= 1$</p>
<p>In September Cost is = $37$ , whereas in July cost is = $35$</p>
<p>So, the difference between cost is = $(37-35)= 2$</p>
<p><strong>∴ In May the total increase in the Cost highest as compared to the Cost two months ago</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3840/cat1996-169?show=4695#a4695Thu, 31 May 2018 12:14:27 +0000Answered: CAT1996-166
https://aptitude.gateoverflow.in/3837/cat1996-166?show=4694#a4694
<p>We know that, <strong>Profit = Sales - Cost</strong></p>
<p>In January Profit is = $(30-28) = 2$</p>
<p>Number of employees in January = $10$</p>
<p>∴ Profit per employee in January = $\dfrac{2}{10} = \dfrac{1}{5} =0.2$</p>
<p>In March Profit is = $(35-30) = 5$</p>
<p>Number of employees in March = $12$</p>
<p>∴ Profit per employee in March = $\dfrac{5}{12} = 0.4166 $</p>
<p>In July Profit is = $(37-35) = 2$</p>
<p>Number of employees in July = $15$</p>
<p>∴ Profit per employee in in July = $\dfrac{2}{15} = 0.133$</p>
<p>In September Profit is = $(39-37) = 2$</p>
<p>Number of employees in September = $16$</p>
<p>∴ Profit per employee in September = $\dfrac{2}{16} = 0.125$</p>
<p>∴ <strong>March has the highest profit per employee .</strong></p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3837/cat1996-166?show=4694#a4694Thu, 31 May 2018 12:02:48 +0000Answered: #GeeksforGeeks
https://aptitude.gateoverflow.in/4685/%23geeksforgeeks?show=4693#a4693
Soda in soluton = 3/(3+5) = 3/8<br />
<br />
Rum in solution = 5/(3+5) = 5/8<br />
<br />
Let x be the volume of solution taken out.<br />
<br />
Then soda taken out = x * 3/8<br />
<br />
Then rum taken out = x * 5/8<br />
<br />
The taken out part has to be replaced with soda, means x amount of soda will be added to the new solution which makes soda and rum equal in volume/quantity. The final equation will, be :<br />
<br />
3/8 - 3x/8 + x = 5/8 -5x/8<br />
<br />
which gives x = 1/5Quantitative Aptitudehttps://aptitude.gateoverflow.in/4685/%23geeksforgeeks?show=4693#a4693Mon, 28 May 2018 07:19:55 +0000Answered: How to Prepare for Quantitatve Aptitude, Chapter: Number System, Topic: HCF & LCM
https://aptitude.gateoverflow.in/4672/prepare-quantitatve-aptitude-chapter-number-system-topic?show=4681#a4681
LCM of $12,14,21,33,54$<br />
<br />
Or, LCM of $2 \times 2 \times 3,$ $2 \times 7,$ $3 \times 7,$ $3 \times 11,$ $2 \times 3 \times 3 \times 3$.<br />
<br />
Or, LCM of $12,14,21,33,54$ is $2^2 \times 3^3 \times 7 \times 11$ i.e. $8316$<br />
<br />
Now, the derived number should be a multiple of $8316$ in order to get derived by $12.14.21.33.54.$<br />
<br />
∴ $8316 \times 1 = 8316$ & $8316-7249 = 1067$<br />
<br />
$8316 \times 2 = 16632$ & $16632-7249 = 9383$<br />
<br />
$8316 \times 3 = 24948$ & $24948-7249 = 17699$<br />
<br />
$8316 \times 4 = 33264$ & $33264-7249 = 26015$<br />
<br />
$8316 \times 5 = 41580$ & $41580-7249 = 34331$<br />
<br />
..............................................<br />
<br />
...............................<br />
<br />
.........<br />
<br />
.....<br />
<br />
So, $1067$ is the smallest $4-digit$ number to be added with $7249$ in order to divide the number by $12,14,21,33,54$<br />
<br />
$9383$ is the largest $4-digit$ number to be added with $7249$ in order to divide the number by $12,14,21,33,54.$<br />
<br />
Now, we can observe that after $9383$, the numbers are not $4-digit$, they are $5-digit$ numbers.<br />
<br />
∴ The answer will be $\color{purple}{9383}- \color{maroon}{\text{option B)}}$Quantitative Aptitudehttps://aptitude.gateoverflow.in/4672/prepare-quantitatve-aptitude-chapter-number-system-topic?show=4681#a4681Thu, 17 May 2018 08:03:28 +0000Answered: CAT1996-175
https://aptitude.gateoverflow.in/3846/cat1996-175?show=4666#a4666
In $1992$, average starting salaries offered to software students = $Rs. 5,290/month$<br />
<br />
In $1996$, average starting salaries offered to software students = $Rs. 8,640/month$<br />
<br />
∴ Total increase in $4$ years = $(8640-5290) = 3350$<br />
<br />
∴ Percentage increase = $\dfrac{3350}{5290} = 63.32\%$<br />
<br />
∴ Average per year increase = $\dfrac{63.32}{4}\% = 15.83\%$Quantitative Aptitudehttps://aptitude.gateoverflow.in/3846/cat1996-175?show=4666#a4666Sun, 29 Apr 2018 19:06:57 +0000Answered: CAT1996-174
https://aptitude.gateoverflow.in/3845/cat1996-174?show=4665#a4665
<p>To determine the average monthly salary offered to a management graduate in the year $1993$, we have to know </p>
<ul>
<li>The avg. salary of finance graduate</li>
<li>The avg. salary of marketing graduate</li>
<li>The avg. salary of software graduate</li>
<li>The avg. salary of others branch graduate</li>
</ul>
<p>But, as we don't have the information about the avg. salary of others branch graduates, <strong>we can't determine</strong> that.</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3845/cat1996-174?show=4665#a4665Sun, 29 Apr 2018 19:02:13 +0000Answered: CAT1996-173
https://aptitude.gateoverflow.in/3844/cat1996-173?show=4664#a4664
In $1992$, average salary of Finance students = $Rs.5,450/month$<br />
<br />
In $1996$, average salary of Finance students = $Rs.9,810/month$<br />
<br />
∴ Percentage increase in the average salary of finance from $1992$ to $1996$ will be = $\dfrac{(9,810 - 5,450)}{5,450} \times 100$<br />
<br />
$ \qquad = \dfrac{4,360}{5,450} \times 100$<br />
<br />
$ \qquad = 0.8 \times 100$<br />
<br />
$ \qquad = 80\%$Quantitative Aptitudehttps://aptitude.gateoverflow.in/3844/cat1996-173?show=4664#a4664Sun, 29 Apr 2018 18:57:12 +0000Answered: CAT1996-172
https://aptitude.gateoverflow.in/3843/cat1996-172?show=4663#a4663
In $1994$, placed Finance students = $23\% \times 1100 = 253$<br />
<br />
∴ $253$ students earned a total of $Rs.7,550 \times 253 = Rs. 19,10,150/month$ in the year $1994$.<br />
<br />
In $1994$, placed Software students = $21\% \times 1100 = 231$<br />
<br />
∴ $253$ students earned a total of $Rs.7,050 \times 231 = Rs. 16,28,550/month$ in the year $1994$.<br />
<br />
∴ In $1994$, students seeking jobs in finance earned $Rs. 2,81,600 \times 12 = 33,79,200$ i.e. $Rs. 33.8 lakh$Quantitative Aptitudehttps://aptitude.gateoverflow.in/3843/cat1996-172?show=4663#a4663Sun, 29 Apr 2018 18:51:07 +0000Answered: CAT1996-171
https://aptitude.gateoverflow.in/3842/cat1996-171?show=4662#a4662
<p>I'll make a table first which include all the data :</p>
<table border="1" cellpadding="1" style="width:500px">
<thead>
<tr>
<th scope="row">Year</th>
<th scope="col">No. of students employed</th>
<th scope="col">No. of finance students employed</th>
<th scope="col">No. of marketing students employed</th>
</tr>
</thead>
<tbody>
<tr>
<th scope="row">$1992$</th>
<td>$800$</td>
<td>$22\% \times 800 = 176$</td>
<td>$36\% \times 800 = 288$</td>
</tr>
<tr>
<th scope="row">$1993$</th>
<td>$650$</td>
<td>$17\% \times 650 = 110.5$</td>
<td>$48\% \times 650 = 312$</td>
</tr>
<tr>
<th scope="row">$1994$</th>
<td>$1100$</td>
<td>$23\% \times 1100 = 253$</td>
<td>$43\% \times 1100 = 473$</td>
</tr>
<tr>
<th scope="row">$1995$</th>
<td>$1200$</td>
<td>$19\% \times 1200 = 228$</td>
<td>$37\% \times 1200 = 444$</td>
</tr>
<tr>
<th scope="row">$1996$</th>
<td>$1000$</td>
<td>$32\% \times 1000 = 320$</td>
<td>$32\% \times 1000 = 320$</td>
</tr>
</tbody>
</table>
<p> </p>
<p>∴ Total No. of finance students employed in $5$ years = $(176 + 110.5 + 253 + 228 + 320) = 1087.5$</p>
<p>Total No. of marketing students employed in $5$ years = $(288 + 312 + 473 + 444 + 320) = 1837$</p>
<p>∴ The number of students who got jobs in finance is less than the number of students getting marketing jobs, in five years, by $(1837 - 1087.5) = 749.5 \approx 750$</p>
<p> </p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/3842/cat1996-171?show=4662#a4662Sun, 29 Apr 2018 18:06:54 +0000Answered: probability
https://aptitude.gateoverflow.in/2802/probability?show=4661#a4661
n(s)=6^4=1296<br />
<br />
n(e)=(1,1,1,1),(2,2,2,2).......(6,6,6,6)<br />
<br />
probability=6/1296<br />
<br />
=1/216Quantitative Aptitudehttps://aptitude.gateoverflow.in/2802/probability?show=4661#a4661Wed, 25 Apr 2018 05:12:39 +0000ages
https://aptitude.gateoverflow.in/4560/ages
<table>
<tbody>
<tr>
<td colspan="2"> Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:43:4, what will be the total of their present ages?</td>
</tr>
<tr>
<td>A. 4545</td>
<td>B. 4040</td>
</tr>
<tr>
<td>C. 3535</td>
<td>D. 30</td>
</tr>
</tbody>
</table>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4560/agesSun, 28 Jan 2018 02:30:22 +0000ratio
https://aptitude.gateoverflow.in/4559/ratio
Q.Rekha and Kallu have a certain number of red and black marbles with them. The ratio of red marbles to black marbles with them is 7 : 1 and 9 : 1 respectively. If the total number of marbles with the two persons is 90, what can be the number of red marbles with Kallu?<br />
a.Either 9 or 45 b.Either 10 or 50 c.Either 36 or 72 d.Either 18 or 36Quantitative Aptitudehttps://aptitude.gateoverflow.in/4559/ratioSun, 28 Jan 2018 02:29:24 +0000self doubt
https://aptitude.gateoverflow.in/4558/self-doubt
Q.How many four-digit numbers, with distinct digits are there such that the sum of the digits of each of these numbers is an odd natural number?<br />
a.2160 b.2090 c.1880 d.2376Quantitative Aptitudehttps://aptitude.gateoverflow.in/4558/self-doubtSun, 28 Jan 2018 02:28:35 +0000Any resource for learning and solving question on passage reading
https://aptitude.gateoverflow.in/4552/any-resource-for-learning-solving-question-passage-reading
English Languagehttps://aptitude.gateoverflow.in/4552/any-resource-for-learning-solving-question-passage-readingSun, 21 Jan 2018 11:43:16 +0000p(p−1)<0 what is value of p
https://aptitude.gateoverflow.in/4547/p-p%E2%88%921-0-what-is-value-of-p
p(p−1)<0 what is value of p please solve step by step <br />
<br />
options are <br />
<br />
(A) (–∞, 0)<br />
(B) (0, 1)<br />
(C) (1, ∞)<br />
(D) (0, ∞)Quantitative Aptitudehttps://aptitude.gateoverflow.in/4547/p-p%E2%88%921-0-what-is-value-of-pWed, 10 Jan 2018 04:09:48 +0000clocks
https://aptitude.gateoverflow.in/4543/clocks
Find the angle between hands of clock at 2:30 p.m in degressQuantitative Aptitudehttps://aptitude.gateoverflow.in/4543/clocksTue, 09 Jan 2018 11:05:48 +0000Time and distance
https://aptitude.gateoverflow.in/4542/time-and-distance
Car A left from X for Y at 9:00 a.m.Car B left from Y to X at 10:00 a.m.XY=180 km.<br />
<br />
Speed of A and B are 30 and 20 kmph respectively.Find their meeting timeQuantitative Aptitudehttps://aptitude.gateoverflow.in/4542/time-and-distanceTue, 09 Jan 2018 10:59:35 +0000percentage
https://aptitude.gateoverflow.in/4531/percentage
Ravi's salary before he got an increment was 20% of total income of of his family.His increment was one fourth of his salary after increment.What percentage of total income of his family is his new salaryQuantitative Aptitudehttps://aptitude.gateoverflow.in/4531/percentageTue, 26 Dec 2017 08:33:52 +0000ratio and proposition
https://aptitude.gateoverflow.in/4526/ratio-and-proposition
X,Y and Z are 3 quantities.X varies inversely with Y when z is constant.Y varies inversely with Z when X is constant.When Y=8,Z=7 and X=30.Find X if Y=16 and Z=21Quantitative Aptitudehttps://aptitude.gateoverflow.in/4526/ratio-and-propositionMon, 25 Dec 2017 00:20:41 +0000obtaining head in coin
https://aptitude.gateoverflow.in/4522/obtaining-head-in-coin
A coin is tossed 10 times Find the probablity of obtaining head at least onceQuantitative Aptitudehttps://aptitude.gateoverflow.in/4522/obtaining-head-in-coinSun, 24 Dec 2017 03:00:29 +0000number of squares
https://aptitude.gateoverflow.in/4518/number-of-squares
The number of squares that can be formed from 8x8 chess boardQuantitative Aptitudehttps://aptitude.gateoverflow.in/4518/number-of-squaresSat, 23 Dec 2017 10:38:14 +0000number of rectangles
https://aptitude.gateoverflow.in/4513/number-of-rectangles
The number of rectangles that can be formed on a 8x8 chessboardQuantitative Aptitudehttps://aptitude.gateoverflow.in/4513/number-of-rectanglesSat, 23 Dec 2017 02:33:13 +0000