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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 $3$ $4$ $5$ $6$
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

197
views
gate2018ee
engineeringmathematics
normal
+2
votes
1
answer
2
Mathematics GATE 2018 EE: 18
Let $f$ be a realvalued 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).
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

294
views
gate2018ee
engineeringmathematics
calculus
integration
normal
+2
votes
1
answer
3
Mathematics GATE 2018 EE: 11
Let $f$ be a realvalued 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} $
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

459
views
gate2018ee
engineeringmathematics
calculus
continuity
differentiation
+2
votes
2
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).
asked
Feb 21, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

527
views
gate2018ee
engineeringmathematics
linearalgebra
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)
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

441
views
gate2018ee
engineeringmathematics
easy
+2
votes
2
answers
6
GATE2018 EE: GA10
$P, Q, R, \text{and } S$ 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? $P$ $Q$ $R$ $S$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

561
views
numericalability
normal
gate2018ee
logicalreasoning
+3
votes
2
answers
7
GATE2018 EE: GA9
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 ... $35.75$ $40.25$ $43.75$ $46.25$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

746
views
gate2018ee
generalaptitude
numericalability
normal
percentage
+3
votes
2
answers
8
GATE2018 EE: GA8
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? $0$ $\dfrac{325}{864}$ $\dfrac{525}{864}$ $\dfrac{5}{12}$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

957
views
gate2018ee
numericalability
probability
+2
votes
1
answer
9
GATE2018 EE: GA7
In a certain code, $AMCF$ is written as $EQGJ$ and $NKUF$ is written as $ROYJ$. How will $DHLP$ be written in that code? $RSTN$ $TLPH$ $HLPT$ $XSVR$
asked
Feb 21, 2018
in
Verbal Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

212
views
gate2018ee
generalaptitude
numericalability
easy
verbalreasoning
+3
votes
1
answer
10
GATE2018 EE: GA6
An email 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? $6,760$ $13,520$ $40,560$ $1,05,456$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

1.2k
views
gate2018ee
generalaptitude
numericalability
normal
permutationandcombination
counting
0
votes
1
answer
11
GATE2018 EE: GA5
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 $G(F(1, 3), G(1, 3))$? $2$ $4$ $6$ $36$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

282
views
gate2018ee
generalaptitude
numericalability
easy
functions
+2
votes
2
answers
12
GATE2018 EE: GA4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k  3)}$ an integer? $4, 8, 18$ $4, 10, 16$ $4, 8, 28$ $8, 26, 28$
asked
Feb 21, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

343
views
gate2018ee
generalaptitude
numericalability
easy
quadraticequations
+4
votes
2
answers
13
GATE2018 EE: GA3
The three roots of the equation $f(x) = 0$ are $x = \{−2, 0, 3\}$. What are the three values of $x$ for which $f(x − 3) = 0?$ $−5, −3, 0$ $−2, 0, 3$ $0, 6, 8$ $1, 3, 6$
asked
Feb 20, 2018
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

341
views
gate2018ee
generalaptitude
numericalability
easy
polynomials
+2
votes
4
answers
14
GATE2018 EE: GA2
“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
asked
Feb 20, 2018
in
Verbal Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

1.3k
views
gate2018ee
generalaptitude
verbalability
normal
mostappropriateword
+3
votes
3
answers
15
GATE2018 EE: GA1
“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
asked
Feb 20, 2018
in
Verbal Ability
by
Lakshman Patel RJIT
Veteran
(
59.4k
points)

614
views
gate2018ee
verbalability
normal
mostappropriateword
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