GATE Overflow - Recent questions tagged engineering-mathematics
http://gateoverflow.in/tag/engineering-mathematics
Powered by Question2AnswerGate EE 17
http://gateoverflow.in/135069/gate-ee-17
Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops). Consider the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time in minutes for the vehicle at the junction is _________Probabilityhttp://gateoverflow.in/135069/gate-ee-17Wed, 28 Jun 2017 10:26:41 +0000Gate Question for CSE 1995 In Propositional logic
http://gateoverflow.in/135004/gate-question-for-cse-1995-in-propositional-logic
<p>I have an question regarding Propositional Logic,</p>
<p><strong>(! = NOT, V = OR, -> = Implication)</strong></p>
<p>If the proposition <strong>!p -> q</strong> is true, then the truth value of the proposition <strong>!p V (p -> q)</strong> is,</p>
<p>1. true 2. multiple valued, 3. false, 4. cannot be determinded</p>
<p>now from the truth table for <strong>!p V (p->q)</strong> i get <strong>1 1 0 1</strong> which means it is neither true nor false.</p>
<p>so the answer would be either 2 or 4 and the actual answer is 4.</p>
<p>My question is what does 'multiple valued' means in this case? is it just there to misdirect or is there any logic behind it? or am i doing this completely wrong?</p>
<p>Please any kind of advice would appreciated!!!</p>Mathematical Logichttp://gateoverflow.in/135004/gate-question-for-cse-1995-in-propositional-logicTue, 27 Jun 2017 19:51:58 +0000mathematics
http://gateoverflow.in/134879/mathematics
<p>Consider the set H of all 3 × 3 matrices of the type <a rel="nofollow" href="http://www.geeksforgeeks.org/wp-content/uploads/gq/2014/09/GATECS2005Q46.png"><img alt="GATECS2005Q46" height="58" src="http://www.geeksforgeeks.org/wp-content/uploads/gq/2014/09/GATECS2005Q46.png" width="75"></a> where a, b, c, d, e and f are real numbers and abc ≠ 0. Under the matrix multiplication operation, the set H is</p>
<table>
<tbody>
<tr>
<td> </td>
<td>
<p>a group</p>
</td>
</tr>
<tr>
<td> </td>
<td>
<p>a monoid but not a group</p>
</td>
</tr>
<tr>
<td>
<p>C</p>
</td>
<td>
<p>a semigroup but not a monoid</p>
</td>
</tr>
<tr>
<td>
<p>D</p>
</td>
<td>
<p>neither a group nor a semigroup</p>
</td>
</tr>
</tbody>
</table>Linear Algebrahttp://gateoverflow.in/134879/mathematicsTue, 27 Jun 2017 02:58:48 +0000Question on Solving System of Homogenous Linear Equation
http://gateoverflow.in/134854/question-on-solving-system-of-homogenous-linear-equation
<h3><strong>While Solving System of Homogenous Linear Equations, why can't </strong></h3>
<h3><strong>r > n </strong></h3>
<h3><strong>i.e.</strong></h3>
<h3><strong>rank of matrix > number of variables/unknown </strong></h3>
<p>thanks!</p>Linear Algebrahttp://gateoverflow.in/134854/question-on-solving-system-of-homogenous-linear-equationMon, 26 Jun 2017 16:19:53 +0000Linear algebra
http://gateoverflow.in/134740/linear-algebra
Let A be n*n matrix,$A^{n}$ = $A^{n-1}$ for n>=1 and $A^{0}$=I,Which of following is true?<br />
<br />
<br />
<br />
a.$A^{m}$ .$A^{n}$ =$A^{m+n}$<br />
<br />
b. $($A^{m}$)^{n}$=$A^{mn}$$<br />
<br />
c. both a and b<br />
<br />
c noneLinear Algebrahttp://gateoverflow.in/134740/linear-algebraMon, 26 Jun 2017 00:47:19 +0000Linear Algebra
http://gateoverflow.in/134739/linear-algebra
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=4485056774129449109"></p>Linear Algebrahttp://gateoverflow.in/134739/linear-algebraMon, 26 Jun 2017 00:12:22 +0000[Engineering Maths] Linear algebra Rank
http://gateoverflow.in/134738/engineering-maths-linear-algebra-rank
For following matrix, which of the options is/are true?<br />
<br />
A= 3 1 4<br />
<br />
0 5 8<br />
<br />
-3 4 4 <br />
<br />
1 2 4<br />
<br />
a:) Rank of Transpose of A is 4<br />
<br />
b:) Rank(A)=3<br />
<br />
c:) Linearly independent row vectors =2<br />
<br />
d:) Matrix a is linearly independent<br />
<br />
e:) Maximum linearly independent tuples are 3Linear Algebrahttp://gateoverflow.in/134738/engineering-maths-linear-algebra-rankSun, 25 Jun 2017 23:36:59 +0000[Gate 2006 EC] Probability
http://gateoverflow.in/134674/gate-2006-ec-probability
<p>Three companies, X, Y and Z supply computers to a university. The percentage of computers supplied by them and the probability of those being defective are tabulated below.</p>
<table border="1" cellpadding="0" cellspacing="0" style="width:100%">
<tbody>
<tr>
<td> Company</td>
<td> % of computers supplied </td>
<td> Probability of being defective</td>
</tr>
<tr>
<td> X</td>
<td> 60%</td>
<td> 0.01</td>
</tr>
<tr>
<td> Y</td>
<td> 30%</td>
<td> 0.02</td>
</tr>
<tr>
<td> Z</td>
<td> 10%</td>
<td> 0.03</td>
</tr>
</tbody>
</table>
<p>Given that a computer is defective, the probability that it was supplied by Y is: [2 marks]
<br>
(A) 0.1
<br>
(B) 0.2
<br>
(C) 0.3
<br>
(D) 0.4</p>
<p>I got the correct answer by applying bayees theorem. But that theorem is applicable where the events are collectively exhaustive and mutual exclusive. These are collectively exhaustive but i don't think that they are mutually exclusive as Supplying of x does not mean that y wont supply.Please clear this doubt.</p>Probabilityhttp://gateoverflow.in/134674/gate-2006-ec-probabilitySun, 25 Jun 2017 06:07:49 +0000Probability
http://gateoverflow.in/134654/probability
P( A union B)=.6<br />
<br />
P( A intersection B)=.25<br />
<br />
Find P(A`) +P(B`) ? <br />
<br />
where P(A`) means probability of A complement.Mathematical Logichttp://gateoverflow.in/134654/probabilitySat, 24 Jun 2017 20:57:59 +0000[Engineering Maths] Calculus
http://gateoverflow.in/134547/engineering-maths-calculus
What can we say about e^-x ?<br />
<br />
a. Function is increasing at increasing rate<br />
<br />
b. Function is decreasing at increasing rate<br />
<br />
c. Function is increasing at decreasing rate<br />
<br />
d. Function is decreasing at decreasing rateCalculushttp://gateoverflow.in/134547/engineering-maths-calculusSat, 24 Jun 2017 02:28:49 +0000Combinatorics : Multinomial Coefficients
http://gateoverflow.in/134546/combinatorics-multinomial-coefficients
<p>What's the relationship between combination and polynomial equation? I mean, I am not able to grasp certain points here or let's say connect them into a whole:
<br>
<br>
1. Take a question where it's asked that we have to arrange 10 books : 4 of A, 3 of B, 2 of C, and 1 of D in such a way that each book of similar type remain with its own type so like AAAABBBDCCC, etc. Here we are doing 4!*4!*3!*2!*1!.
<br>
<br>
2. When we take a question of dividing 10 police officers into 3 groups: 10 -> 5,3,2. Here we use 10!/*5!*3!*2!).
<br>
<br>
3. How many solutions of $x1+x2+x3+...+xn=300$ are possible?
<br>
<br>
Doubt: What's the difference between 1 & 2? Isn't two equivalent to saying arrange 10 officers like manner of AAAAABBBCC? If we are grouping 10 distinct elements into 3 groups where each group is of same type, then what's the catch here?
<br>
<br>
Second is what's the similarity between 2 and 3? Isn't three equivalent to saying group 300 distinct element into 3 bags/groups?
<br>
<br>
I am totally confuse here and I think I cannot move ahead with my GATE preparation if I cannot clear my doubt on combinatorics which in turn would mean no way of doing probability's tricky questions.</p>
<p> </p>
<p>EDIT: Here's the images of different questions. How do I differentiate between them?</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=9083059680419989013"><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=14165371670004274780"></p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=11854156684812671111"></p>Combinatoryhttp://gateoverflow.in/134546/combinatorics-multinomial-coefficientsSat, 24 Jun 2017 01:58:38 +0000[Engineering maths] Linear homogeneous system of equation
http://gateoverflow.in/134371/engineering-maths-linear-homogeneous-system-of-equation
While solving linear homogeneous equation do we check rank of A or rank of (A!B) ?Linear Algebrahttp://gateoverflow.in/134371/engineering-maths-linear-homogeneous-system-of-equationThu, 22 Jun 2017 17:14:42 +0000[Engineering Mathematics]
http://gateoverflow.in/134365/engineering-mathematics
In system of Linear equations Ax=B, where A is m*n ,which of the following is/are true?<br />
<br />
a:) If b=0, and m=n,then only trivial solution is possible.<br />
<br />
b:) If b=0, and m=n,then always trivial solution is possible.<br />
<br />
c:)If b=0,and m<n ,then always non-trivial solution possible.<br />
<br />
c:)If b=0,and m<n ,then only non-trivial solution possible.<br />
<br />
d:)If b=0,and m>n ,then only non-trivial solution possible.Linear Algebrahttp://gateoverflow.in/134365/engineering-mathematicsThu, 22 Jun 2017 16:58:28 +0000GATE 2013 EC-A-27
http://gateoverflow.in/134226/gate-2013-ec-a-27
<p>Let A be an mxn matrix and B an nxm matrix.</p>
<p>It is given that determinant ( I<sub>m</sub> + AB ) = determinant ( I<sub>n</sub> + BA ) , where I<sub>k</sub> is the k×k identity matrix. Using the above property, the determinant of the matrix given below is</p>
<p>$\begin{bmatrix} 2& 1& 1& 1\\ 1& 2& 1& 1\\ 1& 1& 2& 1\\ 1& 1& 1& 2 \end{bmatrix}$</p>
<p>A) 2 </p>
<p>B) 5</p>
<p>C) 8</p>
<p>D) 16</p>Linear Algebrahttp://gateoverflow.in/134226/gate-2013-ec-a-27Wed, 21 Jun 2017 16:03:07 +0000Set theory
http://gateoverflow.in/133317/set-theory
<p>{ a } ∈ A </p>
<p>but</p>
<p>a ∉ A</p>
<p>why ?</p>
<p>here ' <strong>a is the element of set {a}</strong> ' ,and ' <strong>set {a} is the element of A</strong>" , so " <strong>a also element of A </strong> " . please clear my doubt .</p>Set Theory & Algebrahttp://gateoverflow.in/133317/set-theoryFri, 16 Jun 2017 05:19:09 +0000use of calculator
http://gateoverflow.in/132893/use-of-calculator
Can we use calculator provided in exam to find out determinant?Linear Algebrahttp://gateoverflow.in/132893/use-of-calculatorTue, 13 Jun 2017 10:31:36 +0000Probability puzzles
http://gateoverflow.in/130530/probability-puzzles
A grasshopper is sitting on a little stone, which we'll call stone zero. Ahead of him, arranged in a line, are stones one, two, three, et cetera, all the way up to nine. <br />
<br />
The grasshopper would like to reach that ninth stone, for reasons unknown. What we do know is that he'll get there by combining little grasshopper jumps, each of which will take our friend forward by either one or two steps. To be clear, this means the grasshopper has exactly two ways to reach stone two: he could take one big jump, or two little ones. <br />
<br />
How many different paths can the grasshopper take to reach his destination?Probabilityhttp://gateoverflow.in/130530/probability-puzzlesTue, 23 May 2017 10:21:01 +0000Calculus
http://gateoverflow.in/130402/calculus
The interval in which $f(x) = \cot^{-1}x + x$ increases, is<br />
<br />
(a) $R$<br />
<br />
(b)$(0,\infty )$<br />
<br />
(c)$R-[n-\pi]$<br />
<br />
(d)None of theseCalculushttp://gateoverflow.in/130402/calculusMon, 22 May 2017 05:55:08 +0000Graph Theory
http://gateoverflow.in/129355/graph-theory
algorithm to find more than one path between any two vertices of a graph G=(V,E) , with a complexity of O(VE) ?Graph Theoryhttp://gateoverflow.in/129355/graph-theoryFri, 12 May 2017 08:04:59 +0000ISI 2015 MMA 7
http://gateoverflow.in/129269/isi-2015-mma-7
Suppose X is distributed as Poisson with mean λ. Then E(1/(X + 1)) is<br />
<br />
(A) $\frac{e^{\lambda }-1}{\lambda }$ <br />
<br />
(B) $\frac{e^{\lambda }-1}{\lambda +1}$<br />
<br />
(C) $\frac{1-e^{-\lambda }}{\lambda}$ <br />
<br />
(D) $\frac{1-e^{-\lambda }}{\lambda + 1}$Probabilityhttp://gateoverflow.in/129269/isi-2015-mma-7Thu, 11 May 2017 10:08:34 +0000basic aptitude
http://gateoverflow.in/129131/basic-aptitude
<table>
<tbody>
<tr>
<td>
<p>Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:</p>
</td>
</tr>
</tbody>
</table>
<table>
<tbody>
<tr>
<td> </td>
<td><strong>A.</strong></td>
<td>
<p>69760</p>
</td>
</tr>
<tr>
<td> </td>
<td><strong>B.</strong></td>
<td>
<p>30240</p>
</td>
</tr>
<tr>
<td> </td>
<td><strong>C.</strong></td>
<td>
<p>99748</p>
</td>
</tr>
<tr>
<td> </td>
<td><strong>D.</strong></td>
<td>
<p>42386</p>
</td>
</tr>
</tbody>
</table>
<p> </p>
<p>i got ans from the method totol words - no word repeated , but if i want to do with general method means 10*10*9*8*7 *5!/2! + 10*10*10*9*8*5!/3! + 10*10*10*10*9*5!/4! + 10*10*10*10*!0 from this getting different ans where is going wrong ? someone verify pls </p>Combinatoryhttp://gateoverflow.in/129131/basic-aptitudeWed, 10 May 2017 06:22:38 +0000Best source to study Calculus
http://gateoverflow.in/129037/best-source-to-study-calculus
<p>Hello, kindly consider for a second that I've just passed my 10th class and just got admit to 11th standard. So, where would you suggest me to learn calculus from the very scratch. </p>
<p>Kindly mention the <strong>video sources </strong>which can be very helpful in learning calculus from the very beginning.</p>Calculushttp://gateoverflow.in/129037/best-source-to-study-calculusTue, 09 May 2017 16:13:51 +0000No of one to one function
http://gateoverflow.in/127843/no-of-one-to-one-function
<div style="background:#eeeeee;border:1px solid #cccccc;padding:5px 10px;">No of one to one function from set A={1,2,3,4,5,6,7,8,9} to set B ={x1,x2,x3,x4,x5,x6,x7,.....,xn}</div>Linear Algebrahttp://gateoverflow.in/127843/no-of-one-to-one-functionTue, 02 May 2017 17:53:32 +0000Linear algebra
http://gateoverflow.in/126560/linear-algebra
Which book to study for Linear algebra grewal or Gilbert Strang from gate perspective?Linear Algebrahttp://gateoverflow.in/126560/linear-algebraSat, 22 Apr 2017 16:18:33 +0000what will be fuzzy set ?
http://gateoverflow.in/126412/what-will-be-fuzzy-set
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12093664083042897413"></p>Mathematical Logichttp://gateoverflow.in/126412/what-will-be-fuzzy-setFri, 21 Apr 2017 13:21:19 +0000Fuzzy doubt
http://gateoverflow.in/126410/fuzzy-doubt
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=5037012022155623760"></p>Mathematical Logichttp://gateoverflow.in/126410/fuzzy-doubtFri, 21 Apr 2017 13:14:55 +0000Which fuzzy set is fuzzy number ?
http://gateoverflow.in/126407/which-fuzzy-set-is-fuzzy-number
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=7520577286953440950"></p>Mathematical Logichttp://gateoverflow.in/126407/which-fuzzy-set-is-fuzzy-numberFri, 21 Apr 2017 13:11:01 +0000Probability
http://gateoverflow.in/125997/probability
Suppose that a particular trait (such as eye color or left-handedness) of a person is classified on the basis of one pair of genes, and suppose that d represents a dominant gene and r a recessive gene. Thus, a person with dd genes is pure dominance, one with rr is pure recessive, and one with rd is hybrid. The pure dominance and the hybrid are alike in appearance. Children receive 1 gene from each parent. If, with respect to a particular trait, 2 hybrid parents have a total of 4 children, what is the probability that 3 of the 4 children have the outward appearance of the dominant gene?Probabilityhttp://gateoverflow.in/125997/probabilityMon, 17 Apr 2017 21:32:07 +0000Probability
http://gateoverflow.in/125717/probability
in a game of bridge the entire deck of 52 cards is dealt out to 4 players.What is the probability that <br />
<br />
i)one of the players receive all 13 spades<br />
<br />
ii )each player receives one ace?Probabilityhttp://gateoverflow.in/125717/probabilitySat, 15 Apr 2017 21:04:10 +0000Probability
http://gateoverflow.in/125714/probability
<p><em>A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, one kind of full house is three of a kind plus a pair. What is the probability that one is dealt a full house?</em></p>Probabilityhttp://gateoverflow.in/125714/probabilitySat, 15 Apr 2017 20:49:57 +0000how to prove?
http://gateoverflow.in/125543/how-to-prove
<h1>If abc(a+b+c)=3, prove that (a+b)(b+c)(c+a)≥8</h1>Othershttp://gateoverflow.in/125543/how-to-proveFri, 14 Apr 2017 17:05:44 +0000How to approach?
http://gateoverflow.in/125197/how-to-approach
A spider is at the bottom of a cliff, and is n inches from the top. Every step it takes brings it one inch closer to the top with probability 1/3, and one inch away from the top with probability 2/3, unless it is at the bottom in which case, it always gets one inch closer. What is the expected number of steps for the spider to reach the top as a function of n?<br />
<br />
a)Never reach to the top<br />
<br />
b)Linear to n<br />
<br />
c)Polynomial to n<br />
<br />
d)Exponential to nCombinatoryhttp://gateoverflow.in/125197/how-to-approachWed, 12 Apr 2017 10:23:36 +0000GATE EXAM PREPARATION STRATEGY
http://gateoverflow.in/125059/gate-exam-preparation-strategy
I AM STUDYING IN 1ST SEM CSE BRANCH.<br />
<br />
I WANT TO PREPARE FOR GATE. I PRESENTLY JUST KNOW A BIT OF PROGRAMMING.<br />
<br />
IN WHICH ORDER( SPECIFIC SUBJECTS AND TOPICS) AND WAYS SHOULD I START PREPARING FOR GATE.<br />
<br />
PLEASE TELL BOOKS ALSO.Study Resourceshttp://gateoverflow.in/125059/gate-exam-preparation-strategyTue, 11 Apr 2017 00:29:59 +0000graph theory
http://gateoverflow.in/124669/graph-theory
A graph consists of only one vertex,which is isolated ..Is that graph<br />
<br />
A) a complete graph ???<br />
<br />
B) a clique???<br />
<br />
C) connected graph ???<br />
<br />
Please explain your answer ...Graph Theoryhttp://gateoverflow.in/124669/graph-theoryFri, 07 Apr 2017 17:38:26 +0000logic
http://gateoverflow.in/124485/logic
<p>can somebody explain the intution behind this ...? i am not able to get ....and i dont want to by-heart ....<img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=16599048480255075131"></p>Mathematical Logichttp://gateoverflow.in/124485/logicThu, 06 Apr 2017 19:49:49 +0000Does the following Statement is Preposition ? If yes then what would be truth Value.
http://gateoverflow.in/124390/does-following-statement-preposition-then-would-truth-value
<p>Does the following Statement is Preposition ? If yes then what would be truth Value. </p>
<ul>
<li>Do not pass go.</li>
</ul>Mathematical Logichttp://gateoverflow.in/124390/does-following-statement-preposition-then-would-truth-valueThu, 06 Apr 2017 10:01:04 +0000ISI Kolkata Sample paper
http://gateoverflow.in/124384/isi-kolkata-sample-paper
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=14247869974489202184"></p>Study Resourceshttp://gateoverflow.in/124384/isi-kolkata-sample-paperThu, 06 Apr 2017 07:34:35 +0000ISI 2017
http://gateoverflow.in/124372/isi-2017
<p>For each positive intefer $n$ consider the set $S_n$ defined as follows: $S_1 = \{1\}, \: S_2 = \{2, 3\}, \: S_3 = \{4,5,6\}, \: \dots $ and, in general, $S_{n+1}$ consists of $n+1$ consecutinve integers the smallest of which is one more than the largest integer in $S_n$. Ten the sum of all the integers in $S_{21}$ equals</p>
<ol style="list-style-type: upper-alpha;">
<li>1113;</li>
<li>53361;</li>
<li>5082;</li>
<li>4641</li>
</ol>Combinatoryhttp://gateoverflow.in/124372/isi-2017Thu, 06 Apr 2017 01:20:21 +0000ISI 2004 MIII
http://gateoverflow.in/124324/isi-2004-miii
<p>Q23 If $\textit{f}(x)=x^{2}$ and <em>g</em>(x)=x sinx +cosx then</p>
<p>A) f and g agree at no point</p>
<p>B) f and g agree at exactly one point</p>
<p>C) f and g agree at exactly two point</p>
<p>D) f and g agree at more then two point</p>
<p> </p>Calculushttp://gateoverflow.in/124324/isi-2004-miiiWed, 05 Apr 2017 22:09:44 +0000ISI 2004 MIII
http://gateoverflow.in/124264/isi-2004-miii
Q22 If $\textit{f}(x)=\frac{\sqrt{3}sinx}{2+cosx}$ then the range of $\textit{f}(x)$ is<br />
<br />
A) the interval [-1,$\frac{\sqrt{3}}{2}$]<br />
<br />
B) the interval [$\frac{-\sqrt{3}}{2}$,1]<br />
<br />
C) the interval [-1.1]<br />
<br />
D) none of the aboveCalculushttp://gateoverflow.in/124264/isi-2004-miiiWed, 05 Apr 2017 18:13:38 +0000Gate math book
http://gateoverflow.in/124179/gate-math-book
Find the sum of n terms of the series<br />
<br />
$log a+ log \frac{a^{2}}{b} + log \frac{a^{3}}{b^{2}}+ ...$ to n termsMathematical Logichttp://gateoverflow.in/124179/gate-math-bookWed, 05 Apr 2017 12:09:37 +0000ISI 2004 MIII
http://gateoverflow.in/123887/isi-2004-miii
Q13 Let X= $\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+...+\frac{1}{3001}$. Then<br />
<br />
A) X$< 1$<br />
<br />
B) X>$\frac{3}{2}$<br />
<br />
C) $1< X< \frac{3}{2}$<br />
<br />
D) none of the aboveCalculushttp://gateoverflow.in/123887/isi-2004-miiiTue, 04 Apr 2017 10:22:00 +0000ISI 2004 MIII
http://gateoverflow.in/123886/isi-2004-miii
<p>Q12 The maximum possible value of xy<sup>2</sup>z<sup>3</sup> subjected to condition x,y,z$\geq 0$ and x+y+z=3 is</p>
<p>A) 1</p>
<p>B) $\frac{9}{8}$</p>
<p>C) $\frac{9}{4}$</p>
<p>D) $\frac{27}{16}$</p>Calculushttp://gateoverflow.in/123886/isi-2004-miiiTue, 04 Apr 2017 10:17:53 +0000ISI 2004 MIII
http://gateoverflow.in/123730/isi-2004-miii
Q5 $x^{2}+x+1$ is a factor of $\left ( x+1 \right )^{n}-x^{n}-1$ whenever<br />
<br />
A) n is odd<br />
<br />
B) n is odd and multiple of 3<br />
<br />
C) n is an even multiple of 3<br />
<br />
D) n is odd and not a multiple of 3Set Theory & Algebrahttp://gateoverflow.in/123730/isi-2004-miiiMon, 03 Apr 2017 15:05:01 +0000ISI 2017
http://gateoverflow.in/123543/isi-2017
<p>Is there any shortcut to compute this or does it have to get the sum by calculating each values?</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=2543533512638814813"></p>
<p> </p>Othershttp://gateoverflow.in/123543/isi-2017Sun, 02 Apr 2017 15:20:47 +0000Graph Theory Path
http://gateoverflow.in/123440/graph-theory-path
What is the difference between path and Euler path?Graph Theoryhttp://gateoverflow.in/123440/graph-theory-pathSun, 02 Apr 2017 02:20:33 +0000logic
http://gateoverflow.in/123124/logic
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=3341390517395662876"></p>
<p><strong>Is there anyother way to solve this problem other than drawing the complete truth table ?</strong></p>Mathematical Logichttp://gateoverflow.in/123124/logicFri, 31 Mar 2017 17:23:01 +0000From Question bank
http://gateoverflow.in/123013/from-question-bank
<p>How to solve such type of problems which involve finding the Domain of the Function ?<img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10973328331580052405"></p>Calculushttp://gateoverflow.in/123013/from-question-bankThu, 30 Mar 2017 20:45:14 +0000From a Question bank
http://gateoverflow.in/123012/from-a-question-bank
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=2884758284353222464" style="float:left"></p>Calculushttp://gateoverflow.in/123012/from-a-question-bankThu, 30 Mar 2017 20:39:52 +0000linear algebra
http://gateoverflow.in/122946/linear-algebra
STATE TRUE OR FALSE<br />
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cofactor and minor of an element in a matrix exists if and only if that matrix is a square matrix.Linear Algebrahttp://gateoverflow.in/122946/linear-algebraThu, 30 Mar 2017 09:28:32 +0000