Recent questions tagged gatecivil-2026-set2

0 0 votes
1 1 answer
'The team $\_\_\_\_$ more than $300$ runs in $20$ overs $\_\_\_\_$ rains.However, some players needed to improve their batting skills.'Choose the option with the correct ...
0 0 votes
1 1 answer
​​​​​​If a positive real $x$ satisfies the following equation\[\log _{2} x+\log _{\sqrt{2}} x=48\]then the value of $x$ is $\_\_\_\_$$2^{16}$$4^{16}$$2^{14}$$4^{14}$
0 0 votes
1 1 answer
The next figure (indicated by ' $?$ ' ) in the sequence is
0 0 votes
1 1 answer
'All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?All the mangoes in the basket are...
0 0 votes
0 0 answers
Consider the following statements about four numbers:$\text{(S1)}$ The average of the four numbers is $25$$\text{(S2)}$ Each number is at most $40$$\text{(S3)}$ Each numb...
0 0 votes
1 1 answer
'People are crowding around $\_\_\_\_$ pit into which $\_\_\_\_$ elephant has fallen. I have never seen an elephant looking more bewildered $\_\_\_\_$ miserable. Here it ...
0 0 votes
1 1 answer
The table lists the unit selling price of five products $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\text{T}$. On a particular day, $250$ items were sold with ...
0 0 votes
0 0 answers
Consider a string $\text{P}$ of length $l$ that is laid out as a straight-line segment. Another string $\text{K}$ is laid out as a semicircular arc with string $\text{P}$...
0 0 votes
1 1 answer
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...
0 0 votes
1 1 answer
Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and S is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$
0 0 votes
1 1 answer
Matrix $\text{A}$ has the eigenvalues $1,2$, and $3$. The Trace of $\mathrm{A}^{2}$ is$6$$14$$20$$8$
0 0 votes
0 0 answers
A fifth-degree polynomial in $x$ is defined for $x>0$. All coefficients of the polynomial are positive. The first derivative of the polynomial is obtained numerically at ...
0 0 votes
0 0 answers
Periodic function $f(x)$ is given below.\[f(x)=\left\{\begin{array}{lll}-1, & \text{when} & -\pi < x < 0 \\1, & \text{when} & 0 < x < \pi\end{array}\right\};\; f(x+2\pi)...
0 0 votes
0 0 answers
A rectangular singly reinforced concrete beam has a width of $300 \text{ mm}$ and an effective depth of $550 \text{ mm}.$ The grades of steel and concrete are Fe$500$ and...
0 0 votes
0 0 answers
As per IS:$800-2007$, design of a cantilever steel beam section for its moment capacity requires fulfilment of an upper bound, expressed as:\[M_{d} \leq 1.5 Z_{e} \frac{f...
0 0 votes
0 0 answers
A plane strain problem (in $\text{X - Y}$ plane) must satisfy the condition:$\sigma_{z z}=0$$\epsilon_{z z}=\epsilon_{x z}=\epsilon_{y z}=0$$\sigma_{x x} \neq \sigma_{x y...
0 0 votes
0 0 answers
Which one of the following stress conditions represents the state of pure shear stress?
0 0 votes
0 0 answers
The horizontal beam shown in the figure has fixed supports at $\text{F}$ and $\text{L}.$ Internal hinges are provided at locations $\text{G}$ and $\text{J}$. The beam sup...
0 0 votes
0 0 answers
The Culturable Command Area (CCA) for a canal is $10000$ hectares. The base period for a crop in the CCA is $140$ days. Watering depth for the crop is $40$ cm. The outlet...
0 0 votes
0 0 answers
Following statements are made with respect to the mass curve of rainfall:Slope at a point on the curve can be positive.Slope at a point on the curve can be zero.Which one...
0 0 votes
0 0 answers
Based on the Casagrande's plasticity chart, plasticity index (in $\%$) of inorganic clays having a liquid limit of $40 \%$, ranges between$18.0$ and $28.8$$14.6$ and $28....
0 0 votes
0 0 answers
Information related to foundation design is provided in table below.\[\begin{array}{|l|l|}\hline\text{Column 1} & \text{Column 2} \\\hline\text{(I) Converse-Labarre formu...
0 0 votes
0 0 answers
An incident occurred on one side of a median on a four-lane dual carriageway road section. This incident disrupted the traffic movement in one direction. Traffic police d...
0 0 votes
1 1 answer
Which one of the following statements is TRUE?Cant deficiency is related to train moving faster, and Cant excess is related to train moving slower.Cant deficiency is rela...
0 0 votes
1 1 answer
The primary purpose of the Windrose diagram is for the design oflength of a runway.orientation of a runway.width of a runway.gradient of a runway.
0 0 votes
1 1 answer
Which one of the following statements is TRUE with respect to levelling survey?A level surface at all points is normal to the direction of the force of gravity.Two level ...
0 0 votes
0 0 answers
Column $\text{I}$ presents common air pollutants, and column $\text{II}$ presents treatment technologies commonly employed to control air pollutants.\[\begin{array}{|c|l|...
0 0 votes
0 0 answers
One-third of the solid matter in a sludge containing $90 \%$ water is composed of fixed mineral solids with specific gravity $2.5$, and two-third is composed of volatile ...
0 0 votes
0 0 answers
The grown algae are useful in the operation ofoxidation pond.slow sand filter.cyclone separator.septic tank.
0 0 votes
0 0 answers
A partial differential equation is given below.\[\frac{\partial^{2} u}{\partial x^{2}}-\frac{\partial^{2} u}{\partial y^{2}}=0\]Possible solution(s) is/are:$(x+y)^{5}$$(x...
0 0 votes
1 1 answer
The eigenvalues of $[A]=\left[\begin{array}{ccc}2 & -3.5 & 6 \\ 3.5 & 5 & 2 \\ 8 & 1 & 8.5\end{array}\right]$ are $\lambda_{1}=-1.547, \lambda_{2}=12.330$, and $\lambda_{...
0 0 votes
0 0 answers
The probability (in $\%$) that a storm having return period of $15$ years may occur in the next $10$ years is $\_\_\_\_$ (rounded off to two decimal places).
0 0 votes
0 0 answers
A fully saturated sandy soil deposit has water content $20 ~\%$ and specific gravity $2.65$.The critical hydraulic gradient for seepage through the soil to create the qui...
0 0 votes
0 0 answers
A downgrade of $1$ in $100$ meets an upgrade of $1$ in $125$ on a road. If the rate of change of grade is $0.10 \%$ per $30$ m, the length (in m ) of the vertical curve b...
0 0 votes
0 0 answers
A tourist visiting a city holds a map prepared at a scale of $1: 25000$. The tourist measures the distance between place $\text{A}$ and place $\text{B}$ in the city as $1...
0 0 votes
0 0 answers
Let $f(x)=\left|\begin{array}{ccc}x^{3} & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^{2} & p^{3}\end{array}\right|$ where $p$ is a constant.The value of $\dfrac{d^{3}}{d x^{3...
0 0 votes
0 0 answers
Vector field $\vec{V}$ is defined as\[\vec{V}=3 x^{2} y z \hat{\imath}-5 x y \hat{\jmath}+6 y z^{2} \hat{k}\]The curl of $\vec{V}$ at point $(2,-1,1)$ is$6 \hat{\imath}-1...
0 0 votes
0 0 answers
A simply supported, linearly elastic, homogeneous, prismatic beam of length $L$ and flexural rigidity $E I$ is shown in the figure.The expression for the Influence Line D...
0 0 votes
0 0 answers
The plane truss shown in the figure is hinge-supported at $\text{E}$ and $\text{F}$. The truss is subjected to vertical downward force at $\text{R}$ and horizontal force ...
0 0 votes
0 0 answers
Consider the following statements with respect to rigid pavements:Statement-$1$: Bottom-up cracking (BUC) in rigid pavements is caused at the edge of the slab due to comb...