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Mathematics GATE 2018 EE: 34
The number of roots of the polynomial, $s^{7} + s^{6} + 7s^{5} + 14s^{4} + 31s^{3} + 7s^{2}+ 25s + 200$, in the open left half of the complex plane is$3$4$5$6$
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Mathematics GATE 2018 EE: 18
Let $f$ be a real-valued function of a real variable defined as $f(x) = x - [ x ]$ , where $ [ x ]$ denotes the largest integer less than or equal to $x$. The ... $2$ decimal places).
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Mathematics GATE 2018 EE: 11
Let $f$ be a real-valued function of a real variable defined as $f(x) = x^{2}$ for $x\geq0$ and $f(x) = -x^{2}$ for $x < 0$.Which one of the ... = 0 }$f(x) \text{is differentiable but its first derivative is not differentiable at x = 0} $
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Mathematics GATE 2018 EE: 44
Let $A$ = $\begin{bmatrix} 1 & 0 & -1 \\-1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B$ = $A^{3} - A^{2} -4A +5I$ where$I$ is the $3\times 3$ identity matrix. The determinant of $B$ is ________ (up to $1$ decimal place).
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Mathematics GATE 2018 EE: 43
Let $f(x) = 3x^{3} - 7x^{2} + 5x + 6$. The maximum value of $f(x)$ over the the interval $[ 0 , 2 ]$ is_________(Upto $1$ decimal place)
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GATE2018 EE: GA-10
$P, Q, R, \text{and } S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available ... $Q$R$S$
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GATE2018 EE: GA-9
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles ... {15%} \\\hline \end{array}$$35.75$40.25$43.75$46.25$
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GATE2018 EE: GA-8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the ... $\dfrac{325}{864}$\dfrac{525}{864}$\dfrac{5}{12}$
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GATE2018 EE: GA-7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ$. How will $DHLP$ be written in that code?$RSTN$TLPH$HLPT$XSVR$
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GATE2018 EE: GA-6
An e-mail password must contain three characters. The password has to contain one numeral from $0 \text{ to } 9$, one upper case and one lower case character from ... $13,520$40,560$1,05,456$
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GATE2018 EE: GA-5
Functions $F(a, b)$ and $G(a, b)$ are defined as follows:$F(a, b) = (a − b)^2$ and $G(a, b) = \mid a − b\mid$, where $\mid x \mid$ represents the absolute value of $x$.What would be the value of $G(F(1, 3), G(1, 3))$?$2$4$6$36$
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GATE2018 EE: GA-4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer?$4, 8, 18$4, 10, 16$4, 8, 28$8, 26, 28$
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GATE2018 EE: GA-3
The three roots of the equation $f(x) = 0$ are $x = \{−2, 0, 3\}$. What are the three values of $x$ for which $f(x − 3) = 0?$−5, −3, 0$−2, 0, 3$0, 6, 8$1, 3, 6$
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GATE2018 EE: GA-2
“A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas.”The word that best fills the blank in the above sentence isdetailedsimpleclearconvoluted
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GATE2018 EE: GA-1
“Since you have gone off the ________, the _________ sand is likely to damage the car.”The words that best fill the blanks in the above sentence arecourse, coarsecourse, coursecoarse, coursecoarse, coarse
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