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UGCNETJune2019II95
Let $A_{\alpha_0}$ denotes the $\alpha$cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
answered
3 days
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in
Others
by
Anshu Kesarwani
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57
points)

80
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ugcnetjune2019ii
fuzzysets
alphacut
0
votes
1
answer
2
UGCNETDEC2018II94
Consider the following terminology and match List I with List II and choose the correct answer from the code given below. List I List II (a) Greedy BestFirst Search (i) Selects a node for expansion if optimal path to that node has been found (b) A* Search (ii) Avoids substantial overhead associated with ... (iii), (c)(ii), (d)(i) (a)  (i), (b)(iv), (c)(iii), (d)(ii)
answered
Nov 28
in
Others
by
Rashmi Ashutosh Vish
(
69
points)

72
views
ugcnetdec2018ii
+1
vote
2
answers
3
UGCNETJune2019II97
Consider the following: Evolution Selection Reproduction Mutation Which of the following are found in genetic algorithms? b, c and d only b and d only a, b, c and d a, b and d only
answered
Nov 28
in
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by
Rashmi Ashutosh Vish
(
69
points)

110
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ugcnetjune2019ii
artificialintelligence
geneticalgorithms
0
votes
2
answers
4
UGCNETDEC2018II90
Suppose that everyone in a group of $N$ people wants to communicate secretly with $(N1)$ other people using symmetric key cryptographic system. The communication between any two persons should not be decodable by the others in the group. The number of keys required in the system as a whole to satisfy the confidentiality requirement is $N(N1)$ $N(N1)/2$ $2N$ $(N1)^2$
answered
Nov 27
in
Others
by
deenanathgupta
(
103
points)

75
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ugcnetdec2018ii
0
votes
1
answer
5
UGCNETDEC2018II91
An agent can improve its performance by Perceiving Responding Learning Observing
answered
Nov 27
in
Others
by
deenanathgupta
(
103
points)

79
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ugcnetdec2018ii
0
votes
2
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6
UGCNETDEC2018II92
Which of the following is true for semidynamic environment? The environment may change while the agent is deliberating The environment itself does not change with the passage of time but the agent's performance score does Even if the ... the passage of time while deliberating, the performance score does not change. Environment and performance score, both change simultaneously
answered
Nov 27
in
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by
deenanathgupta
(
103
points)

108
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ugcnetdec2018ii
0
votes
2
answers
7
UGCNETDEC2018II93
Consider the following terminology and match List I with List II and choose the correct answer from the code given below. b= branching factor d = depth of the shallowest solution m= maximum depth of the search tree l=depth limit ... )(ii), (c)(iv), (d)(i) (a)  (i), (b)(iii), (c)(iv), (d)(ii)
answered
Nov 27
in
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by
deenanathgupta
(
103
points)

106
views
ugcnetdec2018ii
0
votes
1
answer
8
UGCNETDEC2018II96
Consider the following statements related to ANDOR Search algorithm. S1: A solution is a subtree that has a goal node at every leaf. S2: OR nodes are analogous to the branching in a nondeterministic environment. S3: AND nodes are analogous to the branching in a nondeterministic ... S2  True, S3  False S1  True, S2  True, S3  True S1  False, S2  True, S3  False
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Nov 27
in
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by
deenanathgupta
(
103
points)

68
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ugcnetdec2018ii
0
votes
1
answer
9
UGCNETDEC2018II95
Consider the following statements: S1: A heuristic is admissible if it never overestimates the cost to reach the goal S2: A heuristic is monotonous if it follows triangle inequality property Which of the following is true referencing the above statements? Choose ... but statement S2 is true Statement S1 is true but statement S2 is false Both the statements S1 and S2 are true
answered
Nov 27
in
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by
deenanathgupta
(
103
points)

71
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ugcnetdec2018ii
0
votes
2
answers
10
UGCNETDEC2018II99
Consider the sentence below: There is a country that borders both India and Nepal Which of the following represents the above sentence correctly? $\exists c \text{ Country} (c ) \wedge \text{Border}(c, \text{India}) \wedge Border(c, \text{Nepal})$ ... $\exists c \text{ Border}( \text{Country} (c ), \text{India}) \wedge \text{Nepal})$
answered
Nov 27
in
Others
by
deenanathgupta
(
103
points)

186
views
ugcnetdec2018ii
+2
votes
2
answers
11
ISI2015MMA50
Let $\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \bigg( \frac{7+8+15+23}{4} \bigg) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \bigg( \frac{6+8+15+24}{4} \bigg) ^2 , \\ V_3 & = & \frac{5^2+8^2+15^2+25^2}{4} – \bigg( \frac{5+8+15+25}{4} \bigg) ^2 . \end{array}$ Then $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
answered
Nov 25
in
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by
techbd123
Active
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3.1k
points)

23
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isi2015mma
inequality
nongate
+1
vote
1
answer
12
UGCNETJune2019II94
A fuzzy conjunction operator denoted as $t(x,y)$ and a fuzzy disjunction operator denoted as $s(x,y)$ form a dual pair if they satisfy the condition: $t(x,y) = 1s(x,y)$ $t(x,y) = s(1x,1y)$ $t(x,y) = 1s(1x,1y)$ $t(x,y) = s(1+x,1+y)$
answered
Nov 15
in
Others
by
hashida
(
11
points)

119
views
ugcnetjune2019ii
artificialintelligence
fuzzylogic
0
votes
1
answer
13
UGCNETJuly2018II81
E is the number of edges in the graph and f is maximum flow in the graph. When the capacities are integers, the runtime of FordFulberson algorithm is bounded by $O \: (E*f)$ $O \: (E^2*f)$ $O \: (E*f^2)$ $O \: (E^2*f^2)$
answered
Nov 14
in
Others
by
Anshu Kesarwani
(
57
points)

337
views
ugcnetjuly2018ii
graphtheory
0
votes
2
answers
14
UGCNETJuly2018II83
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_26x_33+3x_4=7$ $32x_1+x_212x_3 \leq 10$ $3x_1x_2x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
answered
Nov 14
in
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by
Arun Kumar Dey
(
27
points)

527
views
ugcnetjuly2018ii
llp
linearprogramming
0
votes
2
answers
15
UGCNETJuly2018II5
Given below are three implementations of the swap() function in C++: a b c void swap (int a, int b) { int temp; temp=a; a=b; b=temp; } int main() { int p=0, q=1; swap(p, q); } void swap (int &a, int &b) { int temp; temp=a; ... swap(&p, &q); } Which of these would actually swap the contents of the two integer variables p and q? a only b only c only b and c only
answered
Nov 10
in
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by
avinash99515
(
29
points)

790
views
ugcnetjuly2018ii
c++
swapfunction
0
votes
1
answer
16
ISI2015DCG44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2x^2=32$ $x^2y^2=16$ $y^2x^2=16$ $x^2y^2=32$
answered
Nov 10
in
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by
`JEET
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13.1k
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15
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isi2015dcg
geometry
hyperbola
eccentricity
0
votes
1
answer
17
UGCNETDEC2018II49
What does the following Java function perform? (Assume int occupies four bytes of storage) public static int f(int a) { // Preconditions : a > 0 and no oveflow/underflow occurs int b=0; for (int i=0; i<32; i++) { b = b<<1; ... $1$'s in the binary representation of integer a Return the int that represents the number of $0$'s in the binary representation of integer a
answered
Nov 5
in
Others
by
Rashmi Ashutosh Vish
(
69
points)

124
views
ugcnetdec2018ii
+1
vote
3
answers
18
ISRO20185
Considering the following table in a relational database Last Name Rank Room Shift Smith Manger 234 Morning Jones Custodian 33 Afternoon Smith Custodian 33 Evening Doe Clerical 222 Morning According to the data shown in the table, which of the following could be a candidate key of the table? {Last Name} {Room} {Shift} {Room, Shift}
answered
Nov 1
in
Others
by
bajajd
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19
points)

934
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isro2018
0
votes
1
answer
19
ISI2014DCG49
Let $f(x) = \dfrac{x}{(x1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $ \frac{24}{5} \bigg[ \frac{1}{(x1)^5}  \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x1)^5} + \frac{48}{(2x+3)^5} \bigg]$
answered
Oct 24
in
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by
`JEET
Boss
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13.1k
points)

32
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isi2014dcg
calculus
derivative
functions
+1
vote
1
answer
20
ISI2015MMA54
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1x}$ $\frac{x}{1x} + \log(1+x)$ $\frac{1}{1x} + \log(1x)$ $\frac{x}{1x} + \log(1x)$
answered
Oct 19
in
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by
chirudeepnamini
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3.2k
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11
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isi2015mma
series
summation
nongate
+1
vote
1
answer
21
ISI2014DCG57
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
answered
Oct 10
in
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by
`JEET
Boss
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13.1k
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6
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isi2014dcg
parabola
focalchord
0
votes
1
answer
22
ISI2014DCG40
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^210x=21$ Further, let $L$ and $M$ be the tangents to these curves $A$ and $B$, respectively, at the point $(3,0)$. Then the angle between these two tangents, $L$ and $M$, is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
answered
Oct 10
in
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by
techbd123
Active
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3.1k
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10
views
isi2014dcg
curves
tangents
angles
0
votes
1
answer
23
ISI2014DCG20
If $A(t)$ is the area of the region bounded by the curve $y=e^{\mid x \mid}$ and the portion of the $x$axis between $t$ and $t$, then $\underset{t \to \infty}{\lim} A(t)$ equals $0$ $1$ $2$ $4$
answered
Oct 1
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by
techbd123
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3.1k
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20
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isi2014dcg
calculus
integration
definiteintegration
area
+1
vote
1
answer
24
ISI2014DCG14
$x^43x^2+2x^2y^23y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
answered
Sep 30
in
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by
techbd123
Active
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3.1k
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14
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isi2014dcg
circle
ellips
0
votes
2
answers
25
UGCNETJuly2018II22
Consider the array A=<4, 1, 3, 2, 16, 9, 10, 14, 8, 7>. After building heap from the array A, the depth of the heap and the right child of maxheap are ______ and _____ respectively (Root is at level 0). 3, 14 3, 10 4, 14 4, 10
answered
Sep 25
in
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by
umesh kaiwart
(
21
points)

642
views
ugcnetjuly2018ii
datastructure
heap
0
votes
0
answers
26
ISI2014DCG27
Let $y^24ax+4a=0$ and $x^2+y^22(1+a)x+1+2a3a^2=0$ be two curves. State which one of the following statements is true. These two curves intersect at two points These two curves are tangent to each other These two curves intersect orthogonally at one point These two curves do not intersect
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Sep 23
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by
Arjun
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424k
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20
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isi2014dcg
curves
0
votes
0
answers
27
ISI2014DCG52
The area under the curve $x^2+3x4$ in the positive quadrant and bounded by the line $x=5$ is equal to $59 \frac{1}{6}$ $61 \frac{1}{3}$ $40 \frac{2}{3}$ $72$
asked
Sep 23
in
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by
Arjun
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424k
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6
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isi2014dcg
curve
boundedarea
0
votes
0
answers
28
ISI2014DCG59
The equation $5x^2+9y^2+10x36y4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
asked
Sep 23
in
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Arjun
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424k
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10
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isi2014dcg
hyperbola
ellipse
foci
0
votes
0
answers
29
ISI2015MMA56
Let $\{a_n\}$ be a sequence of nonnegative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ ... but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$
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Sep 23
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isi2015mma
diverges
nongate
0
votes
0
answers
30
ISI2015MMA65
Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
asked
Sep 23
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Arjun
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6
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isi2015mma
inequality
nongate
0
votes
0
answers
31
ISI2015MMA66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid xy \mid$ holds for all $x$ and $y$ is $2$ $1$ $\frac{\pi}{2}$ there is no smallest positive value of $K$; any $K>0$ will make the inequality hold.
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Sep 23
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Arjun
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424k
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isi2015mma
inequality
trigonometry
nongate
0
votes
0
answers
32
ISI2015MMA67
Given two real numbers $a<b$, let $d(x,[a,b]) = \text{min} \{ \mid xy \mid : a \leq y \leq b \} \text{ for }  \infty < x < \infty$. Then the function $f(x) = \frac{d(x,[0,1])}{d(x,[0,1]) + d(x,[2,3])}$ satisfies $0 \leq f(x) < \frac{1}{2}$ for every $x$ ... $f(x)=1$ if $ 0 \leq x \leq 1$ $f(x)=0$ if $0 \leq x \leq 1$ and $f(x)=1$ if $ 2 \leq x \leq 3$
asked
Sep 23
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Arjun
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424k
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7
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isi2015mma
functions
nongate
0
votes
0
answers
33
ISI2015MMA68
Let $f(x,y) = \begin{cases} e^{1/(x^2+y^2)} & \text{ if } (x,y) \neq (0,0) \\ 0 & \text{ if } (x,y) = (0,0). \end{cases}$Then $f(x,y)$ is not continuous at $(0,0)$ continuous at $(0,0)$ but does not have first order partial derivatives continuous at $(0,0)$ and has first order partial derivatives, but not differentiable at $(0,0)$ differentiable at $(0,0)$
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Sep 23
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Arjun
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424k
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7
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isi2015mma
partialderivatives
continuousdifferentiable
nongate
0
votes
0
answers
34
ISI2015MMA70
Let $w=\log(u^2 +v^2)$ where $u=e^{(x^2+y)}$ and $v=e^{(x+y^2)}$. Then $\frac{\partial w }{\partial x} \mid _{x=0, y=0}$ is $0$ $1$ $2$ $4$
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Sep 23
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Arjun
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6
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isi2015mma
partial
derivatives
nongate
0
votes
0
answers
35
ISI2015MMA71
Let $f(x,y) = \begin{cases} 1, & \text{ if } xy=0, \\ xy, & \text{ if } xy \neq 0. \end{cases}$ Then $f$ is continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ exists $f$ is not continuous at $(0,0)$ ... $f$ is not continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ does not exist
asked
Sep 23
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isi2015mma
continuity
partialderivatives
nongate
0
votes
0
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36
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
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Sep 23
in
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Arjun
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424k
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8
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isi2015mma
complexnumber
maximumvalue
nongate
+1
vote
0
answers
37
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
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by
Arjun
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424k
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10
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isi2015mma
series
summation
nongate
0
votes
0
answers
38
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
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Sep 23
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Arjun
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424k
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6
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isi2015mma
differentialequations
ellipses
nongate
0
votes
0
answers
39
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
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by
Arjun
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424k
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8
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isi2015mma
differentialequation
nongate
0
votes
0
answers
40
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 $y=\frac{x+c}{f(x)}$ $y^2=\frac{f(x)}{x+c}$ $y=\frac{f(x)}{x+c}$ $y=\frac{\left[f(x)\right]^2}{x+c}$
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Sep 23
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5
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isi2015mma
differentialequation
generalsolution
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