Recent questions and answers in Others

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1

UGCNET-June-2019-II-95
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 ago in Others by Anshu Kesarwani (57 points) | 80 views

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1 answer

2

UGCNET-DEC2018-II-94
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 Best-First 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

+1 vote

2 answers

3

UGCNET-June-2019-II-97
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 Others by Rashmi Ashutosh Vish (69 points) | 110 views

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2 answers

4

UGCNET-DEC2018-II-90
Suppose that everyone in a group of $N$ people wants to communicate secretly with $(N-1)$ 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 $N(N-1)$ $N(N-1)/2$ $2N$ $(N-1)^2$

answered Nov 27 in Others by deenanathgupta (103 points) | 75 views

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1 answer

5

UGCNET-DEC2018-II-91
An agent can improve its performance by Perceiving Responding Learning Observing

answered Nov 27 in Others by deenanathgupta (103 points) | 79 views

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2 answers

6

UGCNET-DEC2018-II-92
Which of the following is true for semi-dynamic 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 Others by deenanathgupta (103 points) | 108 views

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2 answers

7

UGCNET-DEC2018-II-93
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 Others by deenanathgupta (103 points) | 106 views

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1 answer

8

UGCNET-DEC2018-II-96
Consider the following statements related to AND-OR 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 non-deterministic environment. S3: AND nodes are analogous to the branching in a non-deterministic ... S2 - True, S3 - False S1 - True, S2 - True, S3 - True S1 - False, S2 - True, S3 - False

answered Nov 27 in Others by deenanathgupta (103 points) | 68 views

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1 answer

9

UGCNET-DEC2018-II-95
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 Others by deenanathgupta (103 points) | 71 views

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2 answers

10

UGCNET-DEC2018-II-99
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

+2 votes

2 answers

11

ISI2015-MMA-50
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 Others by techbd123 Active (3.1k points) | 23 views

+1 vote

1 answer

12

UGCNET-June-2019-II-94
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: $t(x,y) = 1-s(x,y)$ $t(x,y) = s(1-x,1-y)$ $t(x,y) = 1-s(1-x,1-y)$ $t(x,y) = s(1+x,1+y)$

answered Nov 15 in Others by hashida (11 points) | 119 views

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1 answer

13

UGCNET-July-2018-II-81
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 Ford-Fulberson 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

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2 answers

14

UGCNET-July-2018-II-83
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_2-6x_33+3x_4=7$ $32x_1+x_2-12x_3 \leq 10$ $3x_1-x_2-x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ 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 Others by Arun Kumar Dey (27 points) | 527 views

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2 answers

15

UGCNET-July-2018-II-5
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 Others by avinash99515 (29 points) | 790 views

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1 answer

16

ISI2015-DCG-44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2-x^2=32$ $x^2-y^2=16$ $y^2-x^2=16$ $x^2-y^2=32$

answered Nov 10 in Others by `JEET Boss (13.1k points) | 15 views

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1 answer

17

UGCNET-DEC2018-II-49
What does the following Java function perform? (Assume int occupies four bytes of storage) public static int f(int a) { // Pre-conditions : 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

+1 vote

3 answers

18

ISRO2018-5
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 (19 points) | 934 views

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1 answer

19

ISI2014-DCG-49
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} - \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$

answered Oct 24 in Others by `JEET Boss (13.1k points) | 32 views

+1 vote

1 answer

20

ISI2015-MMA-54
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 $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$

answered Oct 19 in Others by chirudeepnamini Active (3.2k points) | 11 views

+1 vote

1 answer

21

ISI2014-DCG-57
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 Others by `JEET Boss (13.1k points) | 6 views

0 votes

1 answer

22

ISI2014-DCG-40
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^2-10x=-21$ 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 Others by techbd123 Active (3.1k points) | 10 views

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1 answer

23

ISI2014-DCG-20
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 in Others by techbd123 Active (3.1k points) | 20 views

+1 vote

1 answer

24

ISI2014-DCG-14
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ 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 Others by techbd123 Active (3.1k points) | 14 views

0 votes

2 answers

25

UGCNET-July-2018-II-22
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 max-heap are ______ and _____ respectively (Root is at level 0). 3, 14 3, 10 4, 14 4, 10

answered Sep 25 in Others by umesh kaiwart (21 points) | 642 views

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0 answers

26

ISI2014-DCG-27
Let $y^2-4ax+4a=0$ and $x^2+y^2-2(1+a)x+1+2a-3a^2=0$ 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

asked Sep 23 in Others by Arjun Veteran (424k points) | 20 views

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0 answers

27

ISI2014-DCG-52
The area under the curve $x^2+3x-4$ 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 Others by Arjun Veteran (424k points) | 6 views

0 votes

0 answers

28

ISI2014-DCG-59
The equation $5x^2+9y^2+10x-36y-4=0$ 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 Others by Arjun Veteran (424k points) | 10 views

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0 answers

29

ISI2015-MMA-56
Let $\{a_n\}$ be a sequence of non-negative 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 $\frac{1}{2}$

asked Sep 23 in Others by Arjun Veteran (424k points) | 5 views

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0 answers

30

ISI2015-MMA-65
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 in Others by Arjun Veteran (424k points) | 6 views

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0 answers

31

ISI2015-MMA-66
The smallest positive number $K$ for which the inequality $\mid \sin ^2 x – \sin ^2 y \mid \leq K \mid x-y \mid$ 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.

asked Sep 23 in Others by Arjun Veteran (424k points) | 6 views

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0 answers

32

ISI2015-MMA-67
Given two real numbers $a<b$, let $d(x,[a,b]) = \text{min} \{ \mid x-y \mid : a \leq y \leq b \} \text{ for } - \infty < x < \infty$. 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 in Others by Arjun Veteran (424k points) | 7 views

0 votes

0 answers

33

ISI2015-MMA-68
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 $(0,0)$

asked Sep 23 in Others by Arjun Veteran (424k points) | 7 views

0 votes

0 answers

34

ISI2015-MMA-70
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 $0$ $1$ $2$ $4$

asked Sep 23 in Others by Arjun Veteran (424k points) | 6 views

0 votes

0 answers

35

ISI2015-MMA-71
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 in Others by Arjun Veteran (424k points) | 6 views

0 votes

0 answers

36

ISI2015-MMA-83
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 in Others by Arjun Veteran (424k points) | 8 views

+1 vote

0 answers

37

ISI2015-MMA-84
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 in Others by Arjun Veteran (424k points) | 10 views

0 votes

0 answers

38

ISI2015-MMA-85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these

asked Sep 23 in Others by Arjun Veteran (424k points) | 6 views

0 votes

0 answers

39

ISI2015-MMA-87
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ 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 in Others by Arjun Veteran (424k points) | 8 views

0 votes

0 answers

40

ISI2015-MMA-88
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 in Others by Arjun Veteran (424k points) | 5 views

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