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1
GATE CSE 1999 | Question: 1.3
The number of binary strings of $n$ zeros and $k$ ones in which no two ones are adjacent is $^{n-1}C_k$ $^nC_k$ $^nC_{k+1}$ None of the above
The number of binary strings of $n$ zeros and $k$ ones in which no two ones are adjacent is$^{n-1}C_k$$^nC_k$$^nC_{k+1}$None of the above
2 answers
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GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then$\beta =b/a$$\beta^{2} =ac$$\beta^{3} =bc/\left ( 2a^{2} \right ...
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ISI2017-MMA-9
A function $y(x)$ that satisfies $\dfrac{dy}{dx}+4xy=x$ with the boundary condition $y(0)=0$ is $y(x)=(1-e^x)$ $y(x)=\frac{1}{4}(1-e^{-2x^2})$ $y(x)=\frac{1}{4}(1-e^{2x^2})$ $y(x)=\frac{1}{4}(1-\cos x)$
A function $y(x)$ that satisfies $\dfrac{dy}{dx}+4xy=x$ with the boundary condition $y(0)=0$ is$y(x)=(1-e^x)$$y(x)=\frac{1}{4}(1-e^{-2x^2})$$y(x)=\frac{1}{4}(1-e^{2x^2})$...
1 answer
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ISI2015-MMA-59
In the Taylor expansion of the function $f(x)=e^{x/2}$ about $x=3$, the coefficient of $(x-3)^5$ is $e^{3/2} \frac{1}{5!}$ $e^{3/2} \frac{1}{2^5 5!}$ $e^{-3/2} \frac{1}{2^5 5!}$ none of the above
In the Taylor expansion of the function $f(x)=e^{x/2}$ about $x=3$, the coefficient of $(x-3)^5$ is$e^{3/2} \frac{1}{5!}$$e^{3/2} \frac{1}{2^5 5!}$$e^{-3/2} \frac{1}{2^5 ...
1 answer
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ISI2016-DCG-47
The Taylor series expansion of $f(x)=\ln(1+x^{2})$ about $x=0$ is $\sum_{n=1}^{\infty}(-1)^{n}\frac{x^{n}}{n}$ $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^{2n}}{n}$ $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^{2n+1}}{n+1}$ $\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^{n+1}}{n+1}$
The Taylor series expansion of $f(x)=\ln(1+x^{2})$ about $x=0$ is$\sum_{n=1}^{\infty}(-1)^{n}\frac{x^{n}}{n}$$\sum_{n=1}^{\infty}(-1)^{n+1}\frac{x^{2n}}{n}$$\sum_{n=1}^{\...
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NIELIT 2016 MAR Scientist C - Section B: 13
$\displaystyle \lim_{x \rightarrow 0}\frac{1}{x^{6}} \displaystyle \int_{0}^{x^{2}}\frac{t^{2}dt}{t^{6}+1}=$? $1/4$ $1/3$ $1/2$ $1$
$\displaystyle \lim_{x \rightarrow 0}\frac{1}{x^{6}} \displaystyle \int_{0}^{x^{2}}\frac{t^{2}dt}{t^{6}+1}=$?$1/4$$1/3$$1/2$$1$
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ISI2016-DCG-67
The general solution of the differential equation $2y{y}'-x=0$ is (assuming $C$ as an arbitrary constant of integration) $x^{2}-y^{2}=C$ $2x^{2}-y^{2}=C$ $2y^{2}-x^{2}=C$ $x^{2}+y^{2}=C$
The general solution of the differential equation $2y{y}'-x=0$ is (assuming $C$ as an arbitrary constant of integration)$x^{2}-y^{2}=C$$2x^{2}-y^{2}=C$$2y^{2}-x^{2}=C$$x^...
1 answer
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UGC NET CSE | June 2005 | Part 2 | Question: 30
What is the correct subnet mask to use for a class-$B$ address to support $30$ Networks and also have the most hosts possible ? $255.255.255.0$ $255.255.192.0$ $255.255.240.0$ $255.255.248.0$
What is the correct subnet mask to use for a class-$B$ address to support $30$ Networks and also have the most hosts possible ?$255.255.255.0$$255.255.192.0$$255.255.240....
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UGC NET CSE | June 2005 | Part 2 | Question: 7
The logic expression $\overline{x}y\overline{z}+\overline{x}yz+xy\overline{z}+xyz$ reduces to : $\overline{x}z$ $xyz$ $y$ $yz$
The logic expression $\overline{x}y\overline{z}+\overline{x}yz+xy\overline{z}+xyz$ reduces to :$\overline{x}z$$xyz$$y$$yz$
1 answer
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UGC NET CSE | December 2005 | Part 2 | Question: 23
Consider the graph, which of the following is a valid topological sorting? $\text{ABCD}$ $\text{BACD}$ $\text{BADC}$ $\text{ABDC}$
Consider the graph, which of the following is a valid topological sorting?$\text{ABCD}$$\text{BACD}$$\text{BADC}$$\text{ABDC}$
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UGC NET CSE | June 2006 | Part 2 | Question: 9
In a weighted code with weight $6,4,2,-3$ the decimal $5$ is represented by: $0101$ $0111$ $1011$ $1000$
In a weighted code with weight $6,4,2,-3$ the decimal $5$ is represented by:$0101$$0111$$1011$$1000$
1 answer
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NIELIT 2016 MAR Scientist C - Section C: 36
Odd parity of word can be conveniently tested by OR gate AND gate NOR gate XOR gate
Odd parity of word can be conveniently tested by OR gateAND gateNOR gateXOR gate
0 answers
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ISI2017-DCG-24
The differential equation $x \frac{dy}{dx} -y=x^3$ with $y(0)=2$ has unique solution no solution infinite number of solutions none of these
The differential equation $x \frac{dy}{dx} -y=x^3$ with $y(0)=2$ hasunique solutionno solutioninfinite number of solutionsnone of these
1 answer
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NIELIT 2017 July Scientist B (CS) - Section B: 21
The combinational circuit given below is implemented with two NAND gates. To which of the following individual gates is its equivalent? NOT OR AND XOR
The combinational circuit given below is implemented with two NAND gates. To which of the following individual gates is its equivalent?NOTORANDXOR
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NIELIT 2017 July Scientist B (CS) - Section B: 2
Which of the following statements is/are TRUE for an undirected graph? Number of odd degree vertices is even Sum of degrees of all vertices is even P only Q only Both P and Q Neither P nor Q
Which of the following statements is/are TRUE for an undirected graph?Number of odd degree vertices is evenSum of degrees of all vertices is evenP onlyQ onlyBoth P and QN...
1 answer
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NIELIT 2017 July Scientist B (IT) - Section B: 12
Let $G$ be a simple connected planar graph with $13$ vertices and $19$ edges. Then, the number of faces in the planar embedding of the graph is $6$ $8$ $9$ $13$
Let $G$ be a simple connected planar graph with $13$ vertices and $19$ edges. Then, the number of faces in the planar embedding of the graph is$6$$8$$9$$13$