The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Questions by Arjun
User Arjun
Wall
Recent activity
All questions
All answers
Exams Taken
All Blogs
User Arjun
Wall
Recent activity
All questions
All answers
Exams Taken
All Blogs
+1
vote
1
answer
1
ISI2015MMA79
Let $g(x,y) = \text{max}\{12x, 8y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is $5$ $7$ $1$ $3$
asked
Sep 23, 2019
in
Geometry

15
views
isi2015mma
lines
nongate
0
votes
0
answers
2
ISI2015MMA80
Let $0 < \alpha < \beta < 1$. Then $ \Sigma_{k=1}^{\infty} \int_{1/(k+\beta)}^{1/(k+\alpha)} \frac{1}{1+x} dx$ is equal to $\log_e \frac{\beta}{\alpha}$ $\log_e \frac{1+ \beta}{1 + \alpha}$ $\log_e \frac{1+\alpha }{1+ \beta}$ $\infty$
asked
Sep 23, 2019
in
Calculus

21
views
isi2015mma
calculus
definiteintegrals
summation
nongate
0
votes
0
answers
3
ISI2015MMA81
If $f$ is continuous in $[0,1]$ then $\displaystyle \lim_ {n \to \infty} \sum_{j=0}^{[n/2]} \frac{1}{n} f \left(\frac{j}{n} \right)$ (where $[y]$ is the largest integer less than or equal to $y$) does not exist exists and is equal to $\frac{1}{2} \int_0^1 f(x) dx$ exists and is equal to $ \int_0^1 f(x) dx$ exists and is equal to $\int_0^{1/2} f(x) dx$
asked
Sep 23, 2019
in
Calculus

17
views
isi2015mma
limits
definiteintegrals
nongate
0
votes
0
answers
4
ISI2015MMA82
The volume of the solid, generated by revolving about the horizontal line $y=2$ the region bounded by $y^2 \leq 2x$, $x \leq 8$ and $y \geq 2$, is $2 \sqrt{2\pi}$ $28 \pi/3$ $84 \pi$ none of the above
asked
Sep 23, 2019
in
Geometry

12
views
isi2015mma
area
nongate
0
votes
0
answers
5
ISI2015MMA83
If $\alpha, \beta$ are complex numbers then the maximum value of $\dfrac{\alpha \overline{\beta}+\overline{\alpha}\beta}{\mid \alpha \beta \mid}$ is $2$ $1$ the expression may not always be a real number and hence maximum does not make sense none of the above
asked
Sep 23, 2019
in
Others

11
views
isi2015mma
complexnumber
nongate
+1
vote
0
answers
6
ISI2015MMA84
For positive real numbers $a_1, a_2, \cdots, a_{100}$, let $p=\sum_{i=1}^{100} a_i \text{ and } q=\sum_{1 \leq i < j \leq 100} a_ia_j.$ Then $q=\frac{p^2}{2}$ $q^2 \geq \frac{p^2}{2}$ $q< \frac{p^2}{2}$ none of the above
asked
Sep 23, 2019
in
Others

17
views
isi2015mma
summation
nongate
0
votes
0
answers
7
ISI2015MMA85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2yy’=0$ $xyy’’ +x(y’)^2 yy’=0$ $yy’’+x(y’)^2xy’=0$ none of these
asked
Sep 23, 2019
in
Others

11
views
isi2015mma
differentialequation
ellipses
nongate
0
votes
1
answer
8
ISI2015MMA86
The coordinates of a moving point $P$ satisfy the equations $\frac{dx}{dt} = \tan x, \:\:\:\: \frac{dy}{dt}=\sin^2x, \:\:\:\:\: t \geq 0.$ If the curve passes through the point $(\pi/2, 0)$ when $t=0$, then the equation of the curve in rectangular coordinates is $y=1/2 \cos ^2 x$ $y=\sin 2x$ $y=\cos 2x+1$ $y=\sin ^2 x1$
asked
Sep 23, 2019
in
Geometry

15
views
isi2015mma
trigonometry
curves
nongate
0
votes
0
answers
9
ISI2015MMA87
If $x(t)$ is a solution of $(1t^2) dx tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
asked
Sep 23, 2019
in
Others

13
views
isi2015mma
differentialequation
nongate
0
votes
0
answers
10
ISI2015MMA88
Let $f(x)$ be a given differentiable function. Consider the following differential equation in $y$ $f(x) \frac{dy}{dx} = yf’(x)y^2.$ The general solution of this equation is given by $y=\frac{x+c}{f(x)}$ $y^2=\frac{f(x)}{x+c}$ $y=\frac{f(x)}{x+c}$ $y=\frac{\left[f(x)\right]^2}{x+c}$
asked
Sep 23, 2019
in
Others

11
views
isi2015mma
differentialequation
generalsolution
nongate
0
votes
0
answers
11
ISI2015MMA89
Let $y(x)$ be a nontrivial solution of the second order linear differential equation $\frac{d^2y}{dx^2}+2c\frac{dy}{dx}+ky=0,$ where $c<0$, $k>0$ and $c^2>k$. Then $\mid y(x) \mid \to \infty$ as $x \to \infty$ $\mid y(x) \mid \to 0$ as $x \to \infty$ $\underset{x \to \pm \infty}{\lim} \mid y(x) \mid$ exists and is finite none of the above is true
asked
Sep 23, 2019
in
Others

9
views
isi2015mma
differentialequation
nongate
0
votes
0
answers
12
ISI2015MMA90
The differential equation of the system of circles touching the $y$axis at the origin is $x^2+y^22xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2y^22xy \frac{dy}{dx}=0$ $x^2y^2+2xy \frac{dy}{dx}=0$
asked
Sep 23, 2019
in
Others

12
views
isi2015mma
differentialequation
nongate
0
votes
0
answers
13
ISI2015MMA91
Suppose a solution of the differential equation $(xy^3+x^2y^7)\frac{\mathrm{d} y}{\mathrm{d} x}=1,$ satisfies the initial condition $y(1/4)=1$. Then the value of $\dfrac{\mathrm{d} y}{\mathrm{d} x}$ when $y=1$ is $\frac{4}{3}$ $ \frac{4}{3}$ $\frac{16}{5}$ $ \frac{16}{5}$
asked
Sep 23, 2019
in
Others

11
views
isi2015mma
differentialequation
nongate
0
votes
0
answers
14
ISI2015MMA92
Consider the group $G=\begin{Bmatrix} \begin{pmatrix} a & b \\ 0 & a^{1} \end{pmatrix} : a,b \in \mathbb{R}, \: a>0 \end{Bmatrix}$ ... is of finite order $N$ is a normal subgroup and the quotient group is isomorphic to $\mathbb{R}^+$ (the group of positive reals with multiplication).
asked
Sep 23, 2019
in
Set Theory & Algebra

21
views
isi2015mma
grouptheory
subgroups
normal
nongate
0
votes
1
answer
15
ISI2015MMA93
Let $G$ be a group with identity element $e$. If $x$ and $y$ are elements in $G$ satisfying $x^5y^3=x^8y^5=e$, then which of the following conditions is true? $x=e, \: y=e$ $x\neq e, \: y=e$ $x=e, \: y \neq e$ $x\neq e, \: y \neq e$
asked
Sep 23, 2019
in
Set Theory & Algebra

27
views
isi2015mma
grouptheory
0
votes
1
answer
16
ISI2015MMA94
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of nontrivial group homomorphisms from $H$ to $G$ is $4$ $1$ $2$ $3$
asked
Sep 23, 2019
in
Set Theory & Algebra

20
views
isi2015mma
grouptheory
nongate
0
votes
0
answers
17
GATE199517b
Consider a CRT display that has a text mode display format of $80×25$ characters with a $9×12$ character cell. What is the size of the video buffer RAM for the display to be used in monochrome (1 bit per pixel) graphics mode
asked
Jul 14, 2019
in
Computer Peripherals

116
views
gate1995
nongate
computerperipherals
descriptive
+7
votes
3
answers
18
UGCNETJune2019II1
Consider the poset $( \{3,5,9,15,24,45 \}, \mid).$ Which of the following is correct for the given poset ? There exist a greatest element and a least element There exist a greatest element but not a least element There exist a least element but not a greatest element There does not exist a greatest element and a least element
asked
Jul 2, 2019
in
Set Theory & Algebra

785
views
ugcnetjune2019ii
poset
settheory&algebra
+2
votes
2
answers
19
UGCNETJune2019II2
How many ways are there to place $8$ indistinguishable balls into four distinguishable bins? $70$ $165$ $^8C_4$ $^8P_4$
asked
Jul 2, 2019
in
Combinatory

459
views
ugcnetjune2019ii
permutationandcombination
+1
vote
2
answers
20
UGCNETJune2019II3
How many bit strings of length ten either start with a $1$ bit or end with two bits $00$ ? $320$ $480$ $640$ $768$
asked
Jul 2, 2019
in
Combinatory

334
views
ugcnetjune2019ii
permutationandcombination
inclusionexclusion
+3
votes
1
answer
21
UGCNETJune2019II4
Suppose that a connected planar graph has six vertices, each of degree four. Into how many regions is the plane divided by a planar representation of this graph? $6$ $8$ $12$ $20$
asked
Jul 2, 2019
in
Graph Theory

291
views
ugcnetjune2019ii
graphplanarity
handshakingtheorem
+3
votes
2
answers
22
UGCNETJune2019II5
For which values of $m$ and $n$ does the complete bipartite graph $k_{m,n}$ have a Hamiltonian circuit ? $m\neq n,\ \ m,n \geq 2$ $m\neq n,\ \ m,n \geq 3$ $m=n,\ \ m,n \geq 2$ $m= n,\ \ m,n \geq 3$
asked
Jul 2, 2019
in
Graph Theory

299
views
ugcnetjune2019ii
graphtheory
+4
votes
2
answers
23
UGCNETJune2019II6
Which of the following is principal conjunctive normal form for $[(p\vee q)\wedge\ \rceil p \rightarrow \rceil q ]$ ? $p\ \vee \rceil q$ $p \vee q $ $\rceil p \vee q$ $\rceil p\ \vee \rceil q$
asked
Jul 2, 2019
in
Mathematical Logic

333
views
ugcnetjune2019ii
propositionallogic
+2
votes
1
answer
24
UGCNETJune2019II7
How many cards must be selected from a standard deck of $52$ cards to guarantee that at least three hearts are present among them? $9$ $13$ $17$ $42$
asked
Jul 2, 2019
in
Combinatory

345
views
ugcnetjune2019ii
permutationandcombination
pigeonholeprinciple
+5
votes
2
answers
25
UGCNETJune2019II8
Match ListI with ListII: ... )  (iv); (b)  (i); (c)  (iii); (d)  (ii) (a)  (iv); (b)  (iii); (c)  (i); (d)  (ii)
asked
Jul 2, 2019
in
Mathematical Logic

215
views
ugcnetjune2019ii
propositionallogic
+1
vote
2
answers
26
UGCNETJune2019II9
Find the zeroone matrix of the transitive closure of the relation given by the matrix $A$ : $A =\begin{bmatrix} 1 & 0& 1\\ 0 & 1 & 0\\ 1& 1& 0 \end{bmatrix}$ ... $\begin{bmatrix} 1 & 1& 1\\ 0 & 1 & 0\\ 1& 0& 1 \end{bmatrix}$
asked
Jul 2, 2019
in
Set Theory & Algebra

422
views
ugcnetjune2019ii
settheory&algebra
+1
vote
1
answer
27
UGCNETJune2019II10
Consider an LPP given as $\text{Max } Z=2x_1x_2+2x_3$ subject to the constraints $2x_1+x_2 \leq 10 \\ x_1+2x_22x_3 \leq 20 \\ x_1 + 2x_3 \leq 5 \\ x_1, \: x_2 \: x_3 \geq 0 $ ... $x_1 = 0, x_2=0, \: x_3=10, \: Z=20$
asked
Jul 2, 2019
in
Numerical Methods

218
views
ugcnetjune2019ii
simplex
method
+4
votes
3
answers
28
UGCNETJune2019II11
Which type of addressing mode, less number of memory references are required? Immediate Implied Register Indexed
asked
Jul 2, 2019
in
CO and Architecture

477
views
ugcnetjune2019ii
addressingmodes
+2
votes
2
answers
29
UGCNETJune2019II12
Suppose that the register $A$ and the register $K$ have the bit configuration. Only the three leftmost bits of $A$ are compared with memory words because $K$ has $1$'s in these positions. Because of its organization, this type of ... is uniquely suited to parallel searches by data association. This type of memory is known as RAM ROM content addressable memory secondary memory
asked
Jul 2, 2019
in
CO and Architecture

255
views
ugcnetjune2019ii
memory
+3
votes
1
answer
30
UGCNETJune2019II13
How many different Boolean functions of degree $n$ are the $2^{2^n}$ $(2^2)^n$ $2^{2^n} 1$ $2^n$
asked
Jul 2, 2019
in
Set Theory & Algebra

206
views
ugcnetjune2019ii
boolean
function
Page:
« prev
1
2
3
4
5
6
7
8
9
10
11
...
45
next »
50,737
questions
57,321
answers
198,395
comments
105,145
users