GATE Civil Engineering

'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 sequence of word...

'The shopkeeper sells lemons.' In this sentence, the word 'lemons' is the _________.

If a positive real x satisfies the following equation log₂ x + log√₂ x = 48, then the value of x is

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated...

The next figure (indicated by '?') in the sequence is

At how many points will the curves y = x² and y = -x² – 2x - 1 intersect in the real (x, y) plane?

'All the mangoes in the basket are good.' If the above statement is false, then which one of the following statements is necessarily true?

'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history. Unfortuna...

Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at least 20 Choose the option th...

Match the words in Column I with their synonyms in Column II. Column I (i) Lonely (ii) Literal (iii) Lousy (iv) Lethal Column II (p) Verbatim (q) Solitary (r) Deadly (s) Terrible

'People are crowding around ____ pit into which ____ elephant has fallen. I have never seen an elephant looking more bewildered ____ miserable. Here it is in a most undignified pos...

The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observat...

In the given figure, $\overline{PQ}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle ROS = 80^{\circ}$. When $\overli...

Based on the relationship between each polygon and the number inside it, the value of 'X' is

Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Fig...

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 exactly one...

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states...

Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?

P and Q are two positive integers such that P² = Q² + 13. The product of the numbers P and Q is _________

Matrix A has the eigenvalues 1, 2, and 3. The Trace of A² is

Matrix P is given as $P = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \end{bmatrix}$ The TRUE option is

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 a point...

Given: $\begin{bmatrix} 1 & 1 \\ 1 & 0 \\ 0 & 2 \end{bmatrix} \begin{Bmatrix} x_1 \\ x_2 \\ x_3 \end{Bmatrix} = \begin{Bmatrix} 0 \\ 0 \end{Bmatrix}$ The above system of equations...

Periodic function $f(x)$ is given below. $f(x) = \begin{cases} -1, & \text{when} & -\pi < x < 0 \\ 1, & \text{when} & 0 < x < \pi \end{cases} ; f(x + 2\pi) = f(x)$ The CORRECT opti...

A thin-walled spherical gas balloon of radius R and wall thickness t (t << R) is subjected to an internal (gauge) pressure p. The maximum tensile and shear stresses in the balloon...

A rectangular singly reinforced concrete beam has a width of 300 mm and an effective depth of 550 mm. The grades of steel and concrete are Fe500 and M25, respectively. The area of...

Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

Which one of the following is utilized to determine the long-term deformation of concrete under sustained loading?

As per IS:800-2007, design of a cantilever steel beam section for its moment capacity requires fulfilment of an upper bound, expressed as: $M_d \leq 1.5Z_e \frac{f_y}{\gamma_{m0}}$...

A plane strain problem (in X-Y plane) must satisfy the condition:

Two reservoirs having different water levels are connected by two long parallel pipelines of same length and same material but having diameters of 600 mm and 400 mm. Using Darcy-We...

Which one of the following stress conditions represents the state of pure shear stress?

An irrigation canal is to be designed to deliver 10 cumec to meet the peak demand of 7500 hectare of cropped area. The estimated canal losses are 50 % of the head discharge. The du...

The name of a person in Column 1 is to be matched with the test mentioned in Column 2. Column 1 (I) Menard (II) Marchetti (III) Casagrande (IV) Proctor Column 2 (P) Dilatometer tes...

The horizontal beam shown in the figure has fixed supports at F and L. Internal hinges are provided at locations G and J. The beam supports vertically downward concentrated loads a...

Corrections are applied to the basic length of the runway strip considering: (i) The elevation H (in m) of the airport above Mean Sea Level (MSL) (ii) Corrected air temperature T (...

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 discharge (in m...

The Whole Circle Bearing (WCB) of line AB is 150°. The length of AB is 100 m. The latitude and departure values, respectively, for this line are:

Following statements are made with respect to the mass curve of rainfall: (I) Slope at a point on the curve can be positive. (II) Slope at a point on the curve can be zero. Which o...

A rapid sand filter bed of depth 0.8 m has 40% porosity during service cycle. It is recommended that during backwash operation, the expanded filter bed should have 70% porosity. Th...

Based on the Casagrande's plasticity chart, plasticity index (in %) of inorganic clays having a liquid limit of 40 %, ranges between

The settling velocity of inorganic particles in the sedimentation tank of a water treatment plant is governed by

Information related to foundation design is provided in table below. Column 1 (I) Converse-Labarre formula (II) Hiley formula (III) Newmark's influence chart (IV) Skempton's equati...

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 diverted th...

Gradually Varied Flow (GVF) profiles in open channels given in Column 1 are to be matched with the water surface slopes in Column 2 in the table below. Column 1 GVF Profile (P) M1...

Which one of the following statements is TRUE?

Cant C on a Broad Gauge railway track is calculated for an equilibrium speed V (in km/h), dynamic gauge G (in mm) and radius of curve R (in m) using formula/formulae:

Which of the following components is/are NOT removed in the secondary treatment of sewage?

The primary purpose of the Windrose diagram is for the design of

Which one of the following statements is TRUE with respect to levelling survey?

Bag I contains 4 white and 6 black balls. Bag II contains 4 white and 3 black balls. One ball is drawn at random from any one of the two bags and it is found to be a black ball. Th...

Column I presents common air pollutants, and column II presents treatment technologies commonly employed to control air pollutants. Air pollutant 1 Dust (size 5-25 µm) 2 Carbon mon...

A matrix is given as: $$\begin{bmatrix} 9 & 15 \\ 15 & 50 \end{bmatrix}$$ By performing Cholesky decomposition, $|L_{22}|$ of the lower triangular matrix is ________ (in integer).

It is given that x and y are integers in the following equation: $(x + y - 7)^2 + (y + 3x - 13)^2 = 0$ The value of $(x^3 + y^3)$ is ________ (in integer).

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 solids with spec...

The grown algae are useful in the operation of

The required centre-to-centre spacing of 10 mm diameter bars is 150 mm to resist the design moment in a concrete slab. Instead of 10 mm diameter bars, if 12 mm diameter bars of the...

Two steel plates are to be connected together by a 5 mm fillet weld of length 150 mm to transfer a design load. If the size of the fillet weld used to connect the same two plates i...

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:

For a liquid, the permeability of a sandy soil having a void ratio of 0.60 was determined as 0.14 cm/s. Considering the same liquid and by using Taylor's equation, the permeability...

The eigenvalues of $[A] = \begin{bmatrix} 2 & -3.5 & 6 \\ 3.5 & 5 & 2 \\ 8 & 1 & 8.5 \end{bmatrix}$ are $\lambda_1 = -1.547$, $\lambda_2 = 12.330$, and $\lambda_3 = 4.711$. The abs...

To obtain undisturbed clay soil sample, an Area Ratio of 10 % needs to be achieved for a thin walled sampling tube. If the outer diameter of the tube is 50.8 mm, the inner diameter...

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).

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 quicksand conditio...

The travel times of three vehicles on a 2 km stretch of road are 4, 5, and 8 minutes. Assuming the speed of each vehicle to be constant in this stretch, the Space Mean Speed (in km...

A 30 m long tape is standardized at 25 °C. It was used to measure the length of a line which came out to be 200 m. The temperature during the measurement was 35°C. The coefficient...

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 between the two grades is...

A tourist visiting a city holds a map prepared at a scale of 1:25000. The tourist measures the distance between place A and place B in the city as 12.0 cm on the map. Assuming both...

The height of the plane of collimation of a levelling instrument is 100.000 m from a datum. The levelling instrument measures a Back Sight of 1.500 m on a vertically held staff at...

Let $f(x) = \begin{vmatrix} x^3 & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^2 & p^3 \end{vmatrix}$ where $p$ is a constant. The value of $\frac{d^3}{dx^3} f(x)$ at $x = 0$ is

Let $f(x)$ be a continuous function defined in $[0,2] \rightarrow \mathbb{R}$ and satisfying the equation $\int_{0}^{2} f(x)[x - f(x)]dx = \frac{2}{3}$. The value of $f(1)$ is

Vector field $\vec{V}$ is defined as $\vec{V} = 3x^2yz \hat{i} - 5xy \hat{j} + 6yz^2 \hat{k}$ The curl of $\vec{V}$ at point (2,-1,1) is

An ordinary differential equation is given below. $x^2 \frac{d^2y}{dx^2} = 6y$ Considering $a$ and $b$ as arbitrary constants, the general solution of the equation is

A simply supported, linearly elastic, homogeneous, prismatic beam of length L and flexural rigidity EI is shown in the figure. The expression for the Influence Line Diagram (ILD) o...

A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length (L), cross-sectional area (A), and modulus of elasticity...

The plane truss shown in the figure is hinge-supported at E and F. The truss is subjected to vertical downward force at R and horizontal force at G. (Figure not to scale) The force...

The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height. (Figure not to scale) What is the absolute value of the m...

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 combined effect...

For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is 2. The Froude number of supercritical stream is