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Powered by Question2AnswerAnswered: obtaining head in coin
https://aptitude.gateoverflow.in/4522/obtaining-head-in-coin?show=4796#a4796
<p>Here we can use Binomial distribution, for r success <sup> = n</sup>C<sub>r </sub>p<sup>r</sup>(1-p)<sup>n-r </sup></p>
<p>here in Question mentioned that atleast one then it will go from 1 to 10.</p>
<p>Here we can direclty write for all come tail will be = 1 - (1/2)<sup>10</sup></p>
<p> = 1023/1024.</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4522/obtaining-head-in-coin?show=4796#a4796Tue, 16 Oct 2018 09:45:43 +0000Answered: arrangement of books in shelf
https://aptitude.gateoverflow.in/4511/arrangement-of-books-in-shelf?show=4795#a4795
Always remember when you have to group the objects Always count them as One. The make the arrangement of that group objects.<br />
<br />
1. for example, if we have to group k distinct object then we can arrange them with k!. <br />
<br />
2. if objects are repeating then divided with repeated objects.<br />
<br />
by using the above concept we can say that the total arrangement will be for distinct objects = 9! * 2!.Quantitative Aptitudehttps://aptitude.gateoverflow.in/4511/arrangement-of-books-in-shelf?show=4795#a4795Tue, 16 Oct 2018 09:33:35 +0000Answered: Permutation
https://aptitude.gateoverflow.in/4746/permutation?show=4794#a4794
Total number of speakers if women speakers are grouped together are 4 (men) + 1 ( All 3 women together) <br />
<br />
So, we can arrange them with 5! = 120.<br />
<br />
And 3 Women can be arranged like W1, W2, W3 with 3! so the total answer is = 120 * 6 = 720.Quantitative Aptitudehttps://aptitude.gateoverflow.in/4746/permutation?show=4794#a4794Tue, 16 Oct 2018 09:21:41 +0000The Egg Problem
https://aptitude.gateoverflow.in/4793/the-egg-problem
There were 2 friends who started buying 14 eggs at Rs.3 per egg daily from september. Both will eat 4 boiled eggs daily and store the remaining eggs keeping in mind the price hike during winter. One odd day due to some emergency one of the friend had to go out. He returned after 5 days and during these days no extra egg was bought, but his friend continued the routine of consuming 4 boiled eggs. Both of them were bad at maths and had different reasoning for the settlement.<br />
<br />
Friend A : While you were not here I ate 20 eggs from the store. For these 20 stocked eggs you contributed Rs.30 as your share. So I will give you Rs.30<br />
<br />
Friend B : You ate 20 extra eggs so I am taking 20 eggs from the store now or give me Rs.60<br />
<br />
i. Friend A is correct<br />
<br />
ii. Friend B is correct<br />
<br />
iii. Both are correct<br />
<br />
iv. None is correctLogical Reasoninghttps://aptitude.gateoverflow.in/4793/the-egg-problemSat, 13 Oct 2018 07:10:34 +0000Answered: self doubt
https://aptitude.gateoverflow.in/4724/self-doubt?show=4791#a4791
$A$ can complete half work in $7$ days. So, speed of work of $A = \frac{x}{2\times 7} = \frac{x}{14}$ where $x$ is the amount of work to be done. <br />
<br />
Similarly speed of work of $B = \frac{x}{42}$<br />
<br />
Given that $A$ is doing half the work and $B$ is doing $1/3$ the work. So, remaining work $= 1 - 1/2 - 1/3 = 1/6.$ $C$ can complete $20\%$ of this in $28/5$ days. So,<br />
<br />
speed of work of $C = \frac{0.2 \times 5x}{28 \times 6} = \frac{x}{168}$<br />
<br />
Now, when $A, B$ and $C$ work together, their combined speed will be$ = \frac{x}{14} + \frac{x}{42} + \frac{x}{168} = \dfrac{12x+4x+x}{168} = \dfrac{17x}{168} $<br />
<br />
So, amount of time required $=\dfrac{x}{\frac{17x}{168}} = \dfrac{168}{17}$Quantitative Aptitudehttps://aptitude.gateoverflow.in/4724/self-doubt?show=4791#a4791Thu, 11 Oct 2018 14:46:44 +0000Answered: Ratio and Proportion
https://aptitude.gateoverflow.in/4353/ratio-and-proportion?show=4788#a4788
Let the first part be x then the second part will be (96-x)<br />
<br />
A/q , x / 7 = (96-x)/9<br />
<br />
on solving for x, we will get x = 42<br />
<br />
So, first part will be 42 and the second part will be 54<br />
<br />
clearly the smaller number is 42Quantitative Aptitudehttps://aptitude.gateoverflow.in/4353/ratio-and-proportion?show=4788#a4788Mon, 08 Oct 2018 18:13:12 +0000Answered: Which language is directly understood by the computer without translation program?
https://aptitude.gateoverflow.in/174/language-directly-understood-computer-without-translation?show=4786#a4786
Any program which is written in the computer is converted into binary form because the computer understands only binary number. Binary number we can call it as machine language so computer can understand machine language without any conversion.Computer Knowledgehttps://aptitude.gateoverflow.in/174/language-directly-understood-computer-without-translation?show=4786#a4786Mon, 08 Oct 2018 16:02:27 +0000Answered: CAT2001-56
https://aptitude.gateoverflow.in/1328/cat2001-56?show=4783#a4783
EADBFCQuantitative Aptitudehttps://aptitude.gateoverflow.in/1328/cat2001-56?show=4783#a4783Sun, 09 Sep 2018 22:34:22 +0000syllogism NET 2018
https://aptitude.gateoverflow.in/4782/syllogism-net-2018
If the proposition ‘domestic animals are hardly ferocious’ is taken to be false, which of the<br />
following proposition/propositions can be claimed to be certainly true ? Select the correct<br />
code :<br />
Propositions :<br />
(a) All domestic animals are ferocious.<br />
(b) Most of the domestic animals are ferocious.<br />
(c) No domestic animal is ferocious.<br />
(d) Some domestic animals are non-ferocious.<br />
Code :<br />
(1) (a) and (b) (2) (a) only (3) (c) and (d) (4) (b) onlyLogical Reasoninghttps://aptitude.gateoverflow.in/4782/syllogism-net-2018Fri, 07 Sep 2018 06:57:19 +0000Answered: CAT1994-49
https://aptitude.gateoverflow.in/4273/cat1994-49?show=4780#a4780
Ans: BDFLogical Reasoninghttps://aptitude.gateoverflow.in/4273/cat1994-49?show=4780#a4780Mon, 03 Sep 2018 19:24:34 +0000Answered: CAT2004-04
https://aptitude.gateoverflow.in/1592/cat2004-04?show=4779#a4779
only indiaLogical Reasoninghttps://aptitude.gateoverflow.in/1592/cat2004-04?show=4779#a4779Mon, 03 Sep 2018 19:15:10 +0000Answered: CAT1994-50
https://aptitude.gateoverflow.in/4274/cat1994-50?show=4778#a4778
<p>Answer Shoud be C & D both</p>
<p style="text-align:center"><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=10027139179663940985"></p>
<p> </p>Logical Reasoninghttps://aptitude.gateoverflow.in/4274/cat1994-50?show=4778#a4778Mon, 03 Sep 2018 19:11:59 +0000Answered: Geeksforgeeks Sudo Placements
https://aptitude.gateoverflow.in/4775/geeksforgeeks-sudo-placements?show=4777#a4777
profit of 20 pencils at selling cost price<br />
<br />
profit=profit/cost price=20/30=66.66%Quantitative Aptitudehttps://aptitude.gateoverflow.in/4775/geeksforgeeks-sudo-placements?show=4777#a4777Mon, 03 Sep 2018 18:28:13 +0000Answered: Interview Question
https://aptitude.gateoverflow.in/4764/interview-question?show=4774#a4774
A is a stronger player than B so probability of wining A is higher then probability of wining B .<br />
<br />
let W=win L=lost<br />
<br />
Probability of wining A to you = 3/4 , W= 0.75 L=0.25<br />
<br />
Probability of wining B to you = 1/2=0.50 L=0.5<br />
<br />
Case 1: AAB <br />
<br />
probability for you to win series = WWL + LWW+WWW= 0.25*0.25*0.5+0.75*0.25*0.5+0.25*0.25*0.5=0.15625<br />
<br />
Case 2: ABA <br />
<br />
probability for you to win series = WWL + LWW+WWW= 0.25*0.5*0.75+0.75*0.5*0.25+0.25*0.5*0.25=0.21875<br />
<br />
Case 3: BAB<br />
<br />
probability for you to win series = WWL + LWW+WWW=0.5*0.25*0.5+0.5*0.25*0.5+0.5*0.25*0.5=0.1875<br />
<br />
Case 4: BAA<br />
<br />
probability for you to win series = WWL + LWW+WWW=0.15625<br />
<br />
so ABA sequence will maximize our chances to win seriese Ans=2Quantitative Aptitudehttps://aptitude.gateoverflow.in/4764/interview-question?show=4774#a4774Tue, 28 Aug 2018 10:29:01 +0000Answered: CAT 2007-06
https://aptitude.gateoverflow.in/4768/cat-2007-06?show=4773#a4773
<p>1/m+4/n=1/12</p>
<p>(n+4m)/mn=1/12</p>
<p>mn=12(n+4m)=12n+48m ----1</p>
<p>RHS will be even and it is given that n is odd so m should be even(even=even*odd).</p>
<p>n={1,3,5,...,57,59}</p>
<p>m={2,4,6,...,58,60}</p>
<p> by equation 1 we can conclude .. to get positive value of m n>48</p>
<p>so for n=49 </p>
<p> 49m=12*49+48m</p>
<p> <strong> m=588 this is also even </strong></p>
<p>n=51</p>
<p><strong>51m-48m=12*51 => 3m=12*51 => m=204</strong></p>
<p>n=53</p>
<p>5m=12*53=>m=127.2 which is not even integer</p>
<p>n=55</p>
<p>7m=12*55=> m=92.28 which is not even integer</p>
<p>n=57 </p>
<p><strong>9m=12*57=> m=76 this is valid </strong></p>
<p>n=59</p>
<p>11m=12*59=>m=64.3</p>
<p>so number of possible solutions =3 </p>
<p> </p>
<p> </p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4768/cat-2007-06?show=4773#a4773Tue, 28 Aug 2018 09:46:35 +0000Answered: 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 +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: 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 +0000#GeeksforGeeks
https://aptitude.gateoverflow.in/4685/%23geeksforgeeks
<p>Q. A vessel is filled with a solution of, 3 parts soda and 5 parts rum. How much of the solution must be taken out and replaced with soda so that the solution contains equal amount of sod and rum?<br>
<strong>(A)</strong> 8/5<br>
<strong>(B)</strong> 2/5<br>
<strong>(C)</strong> 1/5<br>
<strong>(D)</strong> 5/8</p>Quantitative Aptitudehttps://aptitude.gateoverflow.in/4685/%23geeksforgeeksMon, 21 May 2018 17:43:04 +0000How to Prepare for Quantitatve Aptitude, Chapter: Number System, Topic: HCF & LCM
https://aptitude.gateoverflow.in/4672/prepare-quantitatve-aptitude-chapter-number-system-topic
Which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12, 14, 21, 33, and 54.<br />
<br />
(a) 9123<br />
<br />
(b) 9383<br />
<br />
(c) 8727<br />
<br />
(d) None of theseQuantitative Aptitudehttps://aptitude.gateoverflow.in/4672/prepare-quantitatve-aptitude-chapter-number-system-topicSun, 13 May 2018 09:10:14 +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 +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 +0000