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Answers by haralk10

4 votes
2
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 ...
1 votes
5
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})$...
0 votes
6
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 ...
0 votes
7
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}^{\...
0 votes
9
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$$1$
0 votes
12
UGC NET CSE | June 2005 | Part 2 | Question: 30
What is the correct subnet mask to use for a class-$B$ address to support $30$ Networks and also have the most hosts possible ? $255.255.255.0$ $255.255.192.0$ $255.255.240.0$ $255.255.248.0$
What is the correct subnet mask to use for a class-$B$ address to support $30$ Networks and also have the most hosts possible ?$255.255.255.0$$255.255.192.0$$255.255.240....
0 votes
13
UGC NET CSE | December 2005 | Part 2 | Question: 23
Consider the graph, which of the following is a valid topological sorting? $\text{ABCD}$ $\text{BACD}$ $\text{BADC}$ $\text{ABDC}$
Consider the graph, which of the following is a valid topological sorting?$\text{ABCD}$$\text{BACD}$$\text{BADC}$$\text{ABDC}$
0 votes
14
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$$1000$
1 votes
18
NIELIT 2016 DEC Scientist B (CS) - Section B: 40
A top down parser generates Left most derivation Right most derivation Left most derivation in reverse Right most derivation in reverse
A top down parser generatesLeft most derivationRight most derivationLeft most derivation in reverseRight most derivation in reverse
4 votes
21
NIELIT 2017 DEC Scientific Assistant A - Section B: 38
If a planner graph, having $25$ vertices divides the plane into $17$ different regions. Then how many edges are used to connect the vertices in this graph. $20$ $30$ $40$ $50$
If a planner graph, having $25$ vertices divides the plane into $17$ different regions. Then how many edges are used to connect the vertices in this graph.$20$$30$$40$$50...
4 votes
22
NIELIT 2017 DEC Scientific Assistant A - Section B: 16
The smallest integer that can be represented by an $8$-bit number in $2$'s complement form is : $-256$ $-128$ $-127$ $0$
The smallest integer that can be represented by an $8$-bit number in $2$'s complement form is :$-256$$-128$$-127$$0$
1 votes
24
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 4
If a processor has $32$-bit virtual address, $28$-bit physical address, $2$ kb pages. How many bits are required for the virtual, physical page number? $17,21$ $21,17$ $6,10$ None
If a processor has $32$-bit virtual address, $28$-bit physical address, $2$ kb pages. How many bits are required for the virtual, physical page number?$17,21$$21,17$$6,10...
1 votes
30
NIELIT 2016 MAR Scientist B - Section B: 16
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be $100\%$ $50\%$ $49\%$ None of these.
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be$100\...
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