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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

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3 votes

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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 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

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3 votes

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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 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

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2 votes

3 answers

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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).

Lakshman Patel RJIT asked in Linear Algebra Feb 21, 2018

by Lakshman Patel RJIT

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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)

Lakshman Patel RJIT asked in Calculus Feb 21, 2018

by Lakshman Patel RJIT

1.0k views

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

6 votes

2 answers

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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 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

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

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

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

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

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

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

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

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

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