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Recent questions tagged gate2018-ee
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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 $3$ $4$ $5$ $6$
Lakshman Patel RJIT
asked
in
Calculus
Feb 21, 2018
by
Lakshman Patel RJIT
421
views
gate2018-ee
engineering-mathematics
normal
3
votes
1
answer
2
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 value of ${\LARGE \int}_{0.25}^{1.25} \! f(x) \, \mathrm{d}x$ is _________ (upto $2$ decimal places).
Lakshman Patel RJIT
asked
in
Calculus
Feb 21, 2018
by
Lakshman Patel RJIT
2.1k
views
gate2018-ee
engineering-mathematics
calculus
integration
normal
3
votes
1
answer
3
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 following statements is true? $f(x) \text{is discontinuous at x = 0}$ ... $f(x) \text{is differentiable but its first derivative is not differentiable at x = 0} $
Lakshman Patel RJIT
asked
in
Calculus
Feb 21, 2018
by
Lakshman Patel RJIT
2.6k
views
gate2018-ee
engineering-mathematics
calculus
continuity
differentiation
2
votes
3
answers
4
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).
Lakshman Patel RJIT
asked
in
Linear Algebra
Feb 21, 2018
by
Lakshman Patel RJIT
3.0k
views
gate2018-ee
engineering-mathematics
linear-algebra
easy
0
votes
0
answers
5
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)
Lakshman Patel RJIT
asked
in
Calculus
Feb 21, 2018
by
Lakshman Patel RJIT
1.0k
views
gate2018-ee
engineering-mathematics
easy
5
votes
2
answers
6
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. The boat held two persons on each of the three forward trips across the lake and one person on each ... . Each person rowed for at least one trip. Only one person can row during a trip. Who rowed twice? $P$ $Q$ $R$ $S$
Lakshman Patel RJIT
asked
in
Analytical Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
2.2k
views
analytical-aptitude
normal
gate2018-ee
logical-reasoning
6
votes
2
answers
7
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 of each colour used in the current design. The cost of each marble increased by $25\%.$ Therefore, the ... $35.75$ $40.25$ $43.75$ $46.25$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
2.8k
views
gate2018-ee
general-aptitude
quantitative-aptitude
normal
percentage
4
votes
2
answers
8
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 probability that the group accompanying the teacher contains more girls than boys? $0$ $\dfrac{325}{864}$ $\dfrac{525}{864}$ $\dfrac{5}{12}$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
3.2k
views
gate2018-ee
quantitative-aptitude
probability
3
votes
1
answer
9
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? $RSTN$ $TLPH$ $HLPT$ $XSVR$
Lakshman Patel RJIT
asked
in
Analytical Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
737
views
gate2018-ee
general-aptitude
analytical-aptitude
logical-reasoning
code-words
7
votes
1
answer
10
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 the English alphabet. How many distinct passwords are possible? $6,760$ $13,520$ $40,560$ $1,05,456$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
5.8k
views
gate2018-ee
general-aptitude
quantitative-aptitude
normal
combinatory
counting
2
votes
1
answer
11
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 $G(F(1, 3), G(1, 3))$? $2$ $4$ $6$ $36$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
1.4k
views
gate2018-ee
general-aptitude
quantitative-aptitude
easy
functions
4
votes
2
answers
12
GATE2018 EE: GA-4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4, 8, 18$ $4, 10, 16$ $4, 8, 28$ $8, 26, 28$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 21, 2018
by
Lakshman Patel RJIT
1.5k
views
gate2018-ee
general-aptitude
quantitative-aptitude
easy
quadratic-equations
5
votes
2
answers
13
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 $f(x − 3) = 0?$ $−5, −3, 0$ $−2, 0, 3$ $0, 6, 8$ $1, 3, 6$
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
Feb 20, 2018
by
Lakshman Patel RJIT
1.8k
views
gate2018-ee
general-aptitude
quantitative-aptitude
easy
polynomials
2
votes
3
answers
14
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 is detailed simple clear convoluted
Lakshman Patel RJIT
asked
in
Verbal Aptitude
Feb 20, 2018
by
Lakshman Patel RJIT
2.3k
views
gate2018-ee
general-aptitude
verbal-aptitude
normal
most-appropriate-word
3
votes
3
answers
15
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 are course, coarse course, course coarse, course coarse, coarse
Lakshman Patel RJIT
asked
in
Verbal Aptitude
Feb 20, 2018
by
Lakshman Patel RJIT
1.6k
views
gate2018-ee
verbal-aptitude
normal
most-appropriate-word
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