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User Lakshman Patel RJIT
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Recent activity by Lakshman Patel RJIT
1
answer
1
GATE Civil 2022 Set 1 | GA Question: 4
Given the statements: $\text{P}$ is the sister of $\text{Q}$. $\text{Q}$ is the husband of $\text{R}$. $\text{R}$ is the mother of $\text{S}$. $\text{T}$ is the husband of $\text{P}$. Based on the above information, $\text{T}$ is ____________ of $\text{S}$. the grandfather an uncle the father a brother
edited
in
Analytical Aptitude
Mar 27
gatecivil-2022-set1
analytical-aptitude
logical-reasoning
family-relationships
0
answers
2
GATE Civil 2022 Set 2 | Question: 18
For a traffic stream, $v$ is the space mean speed, $k$ is the density, $q$ is the flow, $\nu_{f}$ is the free flow speed, and $k_{j}$ ... $q =k_{j}v - \left( \frac{k_{j}}{v_{f}} \right) v^{2}$
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in
Others
Mar 21
gatecivil-2022-set2
multiple-selects
0
answers
3
GATE Civil 2022 Set 2 | Question: 16
In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ respectively. Similarly, the energy contents $\text{(EC)}$ of plastic waste, food waste and ... $\text{ECpp > ECf > ECg}$ $\text{MCf < MCp < MCg}$ $\text{ECpp < ECf < ECg}$
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in
Others
Mar 21
gatecivil-2022-set2
multiple-selects
0
answers
4
GATE Civil 2022 Set 2 | Question: 15
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct? If $\text{P}$ and $\text{Q}$ are invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$ If $\text{P}$ and $\text{Q}$ are ... $\text{P}$ and $\text{Q}$ are not invertible, then $\text{[PQ]}^{-1} = \text{Q}^{-1} \text{P}^{-1}.$
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in
Others
Mar 21
gatecivil-2022-set2
multiple-selects
0
answers
5
GATE Civil 2022 Set 1 | Question: 37
In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an irrigation canal, is/are In an aqueduct, natural drain water goes under the irrigation canal, ... drain water goes under the irrigation canal. In a canal syphon, natural drain water goes through the irrigation canal.
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in
Others
Mar 21
gatecivil-2022-set1
multiple-selects
0
answers
6
GATE Civil 2022 Set 1 | Question: 35
Let max $\{a, b\}$ denote the maximum of two real numbers $a$ and $b$. Which of the following statement(s) is/are $\text{TRUE}$ about the function $f(x) = \text{max}\{3 - x,x -1\}$? It is continuous on its domain. It has a local minimum at $x = 2$. It has a local maximum at $x = 2$. It is differentiable on its domain.
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Others
Mar 21
gatecivil-2022-set1
multiple-selects
0
answers
7
GATE Civil 2022 Set 1 | Question: 18
A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature? Decrease the design speed Increase the superelevation Increase the design speed Restrict vehicles with higher weight from using the facility
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Others
Mar 21
gatecivil-2022-set1
multiple-selects
0
answers
8
GATE Civil 2022 Set 1 | Question: 17
Which of the following process(es) can be used for conversion of salt water into fresh water? Microfiltration Electrodialysis Ultrafiltration Reverse osmosis
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Others
Mar 21
gatecivil-2022-set1
multiple-selects
0
answers
9
GATE Civil 2022 Set 1 | Question: 16
For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For this wastewater, which of the following statement(s) is/are correct? $\text{COD} > \text{BOD}_{5}$ ... $\text{COD} < \text{BOD}_{5}$ $\text{COD} = \text{BOD}_{5}$
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in
Others
Mar 21
gatecivil-2022-set1
multiple-selects
0
answers
10
GATE Civil 2022 Set 1 | Question: 15
The matrix $M$ is defined as $M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $Q = M^{3} - 4M^{2} - 2M$ which of the following is/are the eigenvalues(s) of matrix $Q$? $15$ $25$ $-20$ $-30$
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Others
Mar 21
gatecivil-2022-set1
multiple-selects
1
answer
11
GATE Civil 2022 Set 1 | GA Question: 10
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube? A. B. C. D.
answer edited
in
Spatial Aptitude
Mar 20
gatecivil-2022-set1
spatial-aptitude
paper-folding
1
answer
12
GATE Civil 2022 Set 1 | GA Question: 9
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position. The only movement allowed for a step involves, two moves along one direction followed by one move in a perpendicular direction . The ... minimum number of steps required to go from $\text{P2}$ to $\text{P5}$ is $4$ $5$ $6$ $7$
answered
in
Analytical Aptitude
Mar 8
gatecivil-2022-set1
analytical-aptitude
logical-reasoning
1
answer
13
GATE Civil 2022 Set 1 | GA Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ ... $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$
answered
in
Quantitative Aptitude
Mar 8
gatecivil-2022-set1
quantitative-aptitude
geometry
squares
area
1
answer
14
GATE Civil 2022 Set 2 | GA Question: 10
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east. The ant first turns $72^{\circ} $ anticlockwise at $\text{P},$ and then does the following two steps ... $144^{\circ}$ clockwise. The pattern made by the trace left behind by the ant is A. B. C. D.
answered
in
Analytical Aptitude
Mar 8
gatecivil-2022-set2
analytical-aptitude
direction-sense
1
answer
15
GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines: $\text{Line L1}: 2x - 3y = 5$ $\text{Line L2}: 3x + 2y = 8$ $\text{Line L3}: 4x - 6y = 5$ $\text{Line L4}: 6x - 9y = 6$ Which one among the following is the correct statement? $\text{L1}$ ... $\text{L2}$ $\text{L4}$ is perpendicular to $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$
answer edited
in
Quantitative Aptitude
Feb 24
gatecivil-2022-set2
quantitative-aptitude
geometry
straight-lines
1
answer
16
GATE Civil 2022 Set 2 | GA Question: 9
Given below are two statements and four conclusions drawn based on the statements. Statement $1:$ Some soaps are clean. Statement $2:$ All clean objects are wet. Conclusion $\text{I}$: Some clean objects are soaps. Conclusion $\text{II}$: No clean ... $\text{IV}$ is correct Only conclusion $\text{I}$ and conclusion $\text{III}$ are correct
answered
in
Analytical Aptitude
Feb 24
gatecivil-2022-set2
analytical-aptitude
statements-follow
1
answer
17
GATE Civil 2022 Set 2 | GA Question: 7
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly investments by $10 \%, 15 \%, \; \text{and} \; 20 \%,$ respectively, of ... is proportional to their individual total investment over the year? $22:23:24$ $22:33:50$ $33:46:60$ $63:86:110$
answered
in
Quantitative Aptitude
Feb 24
gatecivil-2022-set2
quantitative-aptitude
ratio-proportion
1
answer
18
GATE Civil 2022 Set 2 | GA Question: 5
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
answered
in
Spatial Aptitude
Feb 24
gatecivil-2022-set2
spatial-aptitude
mirror-image
1
answer
19
GATE Civil 2022 Set 2 | GA Question: 4
A survey of $450$ students about their subjects of interest resulted in the following outcome. $150$ students are interested in Mathematics. $200$ students are interested in Physics. $175$ students are interested in Chemistry. $50$ students are ... Based on the above information, the number of students interested in Humanities is $10$ $30$ $40$ $45$
answered
in
Quantitative Aptitude
Feb 24
gatecivil-2022-set2
quantitative-aptitude
venn-diagrams
1
answer
20
GATE Civil 2022 Set 2 | GA Question: 3
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of $x ?$ $1$ $2$ $3$ $4$
answered
in
Quantitative Aptitude
Feb 24
gatecivil-2022-set2
quantitative-aptitude
fractions
1
answer
21
GATE Civil 2022 Set 2 | GA Question: 1
The movie was funny and I __________. could help laughing couldn’t help laughed couldn’t help laughing could helped laughed
answered
in
Verbal Aptitude
Feb 23
gatecivil-2022-set2
verbal-aptitude
most-appropriate-word
1
answer
22
GATE Civil 2022 Set 1 | GA Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is $\text{CORRECT}$? mean > mode > median mode > median> mean mode > mean > median median > mode > mean
answered
in
Quantitative Aptitude
Feb 23
gatecivil-2022-set1
quantitative-aptitude
data-interpretation
bar-graph
statistics
1
answer
23
GATE Civil 2022 Set 1 | GA Question: 7
$P$ invested ₹$5000$ per month for $6$ months of a year and $Q$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, ... $\frac{4}{9}$ of the total profit, what is the value of $x$ (in ₹)? $2500$ $3000$ $4687$ $8437$
answered
in
Quantitative Aptitude
Feb 23
gatecivil-2022-set1
quantitative-aptitude
profit-loss
1
answer
24
GATE Civil 2022 Set 1 | GA Question: 2
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the point $(x_{2}, y_{2}) = (1, 2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the $x$-axis? $0.5$ $1.0$ $1.5$ $2.0$
answered
in
Quantitative Aptitude
Feb 23
gatecivil-2022-set1
quantitative-aptitude
cartesian-coordinates
area
1
answer
25
GATE Civil 2022 Set 1 | GA Question: 1
You should ___________ when to say _______________. no/no no / know know / know know / no
answered
in
Verbal Aptitude
Feb 23
gatecivil-2022-set1
verbal-aptitude
most-appropriate-word
1
answer
26
GATE Civil 2022 Set 1 | GA Question: 3
If $p : q = 1:2$ $q : r = 4 : 3$ $r : s = 4 : 5$ and $u$ is $50\%$ more than $s$, what is the ratio $p : u$? $2 : 15$ $16 : 15$ $1 : 5$ $16 : 45$
answer edited
in
Quantitative Aptitude
Feb 19
gatecivil-2022-set1
quantitative-aptitude
ratio-proportion
1
answer
27
GATE Civil 2022 Set 2 | GA Question: 2
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$ What is the value of $\frac{x+z-y}{y} ?$ $0.75$ $1.25$ $2.25$ $3.25$
answered
in
Quantitative Aptitude
Feb 19
gatecivil-2022-set2
quantitative-aptitude
ratio-proportion
1
answer
28
GATE Civil 2021 Set 2 | GA Question: 7
The author said, "Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk onto the stage ... only for musicians than public speakers The author is of the opinion that rehearsal is more important for actors than musicians
answer selected
in
Verbal Aptitude
Apr 11, 2021
gatecivil-2021-set2
verbal-ability
verbal-reasoning
passage-reading
0
answers
29
GATE Civil 2021 Set 2 | Question: 27
The smallest eigenvalue and the corresponding eigenvector of the matrix $\begin{bmatrix} 2 & -2 \\ -1 & 6 \end{bmatrix}$, respectively, are $1.55$ and $\begin{Bmatrix} 2.00\\ 0.45 \end{Bmatrix}$ $2.00$ ... and $\begin{Bmatrix} -2.55\\ -0.45 \end{Bmatrix}$ $1.55$ and $\begin{Bmatrix} 2.00\\ -0.45 \end{Bmatrix}$
recategorized
in
Linear Algebra
Apr 11, 2021
gatecivil-2021-set2
linear-algebra
matrices
eigen-values
eigen-vectors
0
answers
30
GATE Civil 2021 Set 2 | Question: 1
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is $0$ $1.0$ $0.5$ $\infty$
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in
Calculus
Apr 11, 2021
gatecivil-2021-set2
calculus
limits
0
answers
31
GATE Civil 2021 Set 2 | Question: 2
The rank of the matrix $\begin{bmatrix} 5 & 0 & -5 & 0\\ 0 & 2 & 0 & 1\\ -5 & 0 & 5 & 0\\ 0 & 1 & 0 & 2 \end{bmatrix}$ is $1$ $2$ $3$ $4$
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in
Linear Algebra
Apr 11, 2021
gatecivil-2021-set2
linear-algebra
matrices
rank-of-matrix
0
answers
32
GATE Civil 2021 Set 2 | Question: 3
The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$ $\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$ $\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}}$ $\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}}$
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in
Calculus
Apr 11, 2021
gatecivil-2021-set2
calculus
vector-calculus
vector-identities
unit-normal-vector
0
answers
33
GATE Civil 2021 Set 2 | Question: 4
If $\text{A}$ is a square matrix then orthogonality property mandates $AA^{T}=I$ $AA^{T}=0$ $AA^{T}=A^{-1}$ $AA^{T}=A^{2}$
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in
Linear Algebra
Apr 11, 2021
gatecivil-2021-set2
linear-algebra
matrices
matrix-algebra
0
answers
34
GATE Civil 2021 Set 2 | Question: 18
The value ($\textit{round off to one decimal place}$) of $\int_{-1}^{1}x\:e^{\left | x \right |}dx$ is ______________
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in
Calculus
Apr 11, 2021
gatecivil-2021-set2
numerical-answers
calculus
definite-integral
1
answer
35
GATE Civil 2021 Set 2 | GA Question: 1
Arun and Aparna are here. Arun and Aparna is here. Arun’s families is here. Arun’s family is here. Which of the above sentences are grammatically $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iv)}$ $\text{(ii) and (iv)}$ $\text{(iii) and (iv)}$
recategorized
in
Verbal Aptitude
Apr 11, 2021
gatecivil-2021-set2
verbal-ability
english-grammar
easy
0
answers
36
GATE Civil 2021 Set 2 | Question: 46
Numerically integrate, $f(x)=10x-20x^2$ from lower limit $a=0$ to upper limit $b=0.5$. Use Trapezoidal rule with five equal subdivisions. The value (in $\text{units}, \textit{round off to two decimal places}$) obtained is ________________
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in
Numerical Methods
Apr 11, 2021
gatecivil-2021-set2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
37
GATE Civil 2021 Set 2 | Question: 36
A function is defined in Cartesian coordinate system as $f(x,y)=xe^{y}$. The value of the directional derivative of the function ($\textit{in integer}$) at the point $(2,0)$ along the direction of the straight line segment from point $(2, 0)$ to point $\left ( \dfrac{1}{2} ,2\right )$ is _________
recategorized
in
Calculus
Apr 11, 2021
gatecivil-2021-set2
numerical-answers
calculus
directional-derivatives
1
answer
38
GATE Civil 2021 Set 2 | GA Question: 8
Some football players play cricket. All cricket players play hockey. Among the options given below, the statement that logically follows from the two statements $1$ and $2$ above, is : No football player plays hockey Some football players play hockey All football players play hockey All hockey players play football
recategorized
in
Analytical Aptitude
Apr 11, 2021
gatecivil-2021-set2
analytical-aptitude
logical-reasoning
statements-follow
1
answer
39
GATE Civil 2021 Set 2 | GA Question: 3
Two identical cube shaped dice each with faces numbered $1$ to $6$ are rolled simultaneously. The probability that an even number is rolled out on each dice is: $\frac{1}{36}$ $\frac{1}{12}$ $\frac{1}{8}$ $\frac{1}{4}$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set2
numerical-ability
probability
independent-events
1
answer
40
GATE Civil 2021 Set 2 | GA Question: 5
Four persons $P, Q, R$ and $S$ are to be seated in a row. $R$ should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: $6$ $9$ $18$ $24$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set2
numerical-ability
permutation-and-combination
seating-arrangements
1
answer
41
GATE Civil 2021 Set 2 | GA Question: 6
On a planar field, you travelled $3$ units East from a point $O$. Next you travelled $4$ units South to arrive at point $P$. Then you travelled from $P$ in the North-East direction such that you arrive at a point that is $6$ units East of point $O$. ... $P$. The distance of point $Q$ to point $O$, in the same units, should be ______________ $3$ $4$ $5$ $6$
recategorized
in
Analytical Aptitude
Apr 11, 2021
gatecivil-2021-set2
analytical-aptitude
direction-sense
1
answer
42
GATE Civil 2021 Set 2 | GA Question: 10
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divided into eight equals parts. The length of each subdivided part in $\text{cm}$ is an integer. ... triangle $\text{PQR}$ possible, in $\text{cm}^{2}$, is $18$ $24$ $48\sqrt{3}$ $144 \sqrt{3}$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set2
numerical-ability
geometry
triangles
1
answer
43
GATE Civil 2021 Set 2 | GA Question: 4
$\oplus$ and $\odot$ are two operators on numbers $p$ and $q$ such that $p \odot q = p-q,$ and $p \oplus q = p\times q$ Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \right )\odot \left ( 7\oplus \left ( 6 \odot 5 \right ) \right )=$ $40$ $-26$ $-33$ $-40$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set2
numerical-ability
algebra
1
answer
44
GATE Civil 2021 Set 1 | GA Question: 2
The mirror image of the above test about the $\text{X}$-axis is
recategorized
in
Analytical Aptitude
Apr 11, 2021
gatecivil-2021-set1
analytical-aptitude
logical-reasoning
mirror-image
1
answer
45
GATE Civil 2021 Set 1 | GA Question: 10
Humans have the ability to construct worlds entirely in their minds, which don't exist in the physical world. So far as we know, no other species possesses this ability. This skill is so important that we have ... possess the ability to construct mental worlds Imagination, invention and innovation are unrelated to the ability to construct mental worlds
recategorized
in
Verbal Aptitude
Apr 11, 2021
gatecivil-2021-set1
verbal-ability
verbal-reasoning
passage-reading
1
answer
46
GATE Civil 2021 Set 1 | GA Question: 4
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}{q}$; If $x\bigoplus y=2\bigodot 2$, then $x=$ $\frac{y}{2}$ $y$ $\frac{3y}{2}$ $2y$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set1
numerical-ability
algebra
1
answer
47
GATE Civil 2021 Set 1 | GA Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set1
numerical-ability
venn-diagrams
1
answer
48
GATE Civil 2021 Set 1 | GA Question: 7
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:\text{cm} \times 4\: \text{cm}$ each. Folding operation $1:$ The sheet is folded into half by joining the short edges of the current shape. Folding operation $2:$ The ... $\text{M}$ is _____________. $13:7$ $3:2$ $7:5$ $5:13$
recategorized
in
Spatial Aptitude
Apr 11, 2021
gatecivil-2021-set1
spatial-aptitude
paper-folding
1
answer
49
GATE Civil 2021 Set 1 | GA Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above. The value of $\theta$, in degrees, is _______________ $36$ $45$ $72$ $108$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set1
numerical-ability
geometry
1
answer
50
GATE Civil 2021 Set 1 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ ... $-1$ $0$ $\frac{16}{3}$ $16$
recategorized
in
Quantitative Aptitude
Apr 11, 2021
gatecivil-2021-set1
numerical-ability
functions
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