The activities of a project are given in the following table along with their durations and dependency. .tg {border-co

Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties) : .tg {border

Let y be a non-zero vector of size 2022 $$\times$$ 1. Which of the following statements is/are TRUE?

A pair of six-faced dice is rolled twice. The probability that the sum of the outcomes in each roll equals 4 in exactly

Consider the polynomial f(x) = x3 $$-$$ 6x2 + 11x $$-$$ 6 on the domain S, given by 1 $$\le$$ x $$\le$$ 3. The first and

The components of pure shear strain in a sheared are given in the matrix form: $$\varepsilon = \left[ {\matrix{ 1 &

The function f(x, y) satisfies the Laplace equation $$\Delta$$2f(x, y) = 0 on a circular domain of radius r = 1 with its

P and Q are two square matrices of the same order. Which of the following statements is/are correct?

$$\int {\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 3} - {{{x^4}} \over 4} + ....} \right)dx} $$ is equal to :

An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natu

A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough h

A 100 mg of HNO3 (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of

In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is C100H250O80N. The waste has

A sewage treatment plant receives sewage at a flow rate of 5000 m3/day. The total suspended solids (TSS) concentration i

Match the following attributes of a city with the appropriate scale of measurements. .tg {border-collapse:collapse;bor

To design an optimum municipal solid waste collection route, which of the following is/are NOT desired :

A sample of air analyzed at 25$$^\circ$$C and 1 atm pressure is reported to contain 0.04 ppm of SO2. Atomic mass of S =

A process equipment emits, 5 kg/h of volatile organic compounds (VOCs). If a hood placed over the process equipment capt

In a solid waste handling facility, the moisture contents (MC) of food waste, paper waste, and glass waste were found to

At a municipal waste handling facility, 30 metric ton mixture of food waste, yard waste, and paper waste was available.

The concentration s(x, t) of pollutants, in a one-dimensional reservoir at position x and time t satisfies the diffusion

Two discrete spherical particles (P and Q) of equal mass density are independently released in water. Particle P and par

A hydraulic jump takes place in a 6 in wide rectangular channel at a point where the upstream depth is 0.5 m (just befor

Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a se

The dimension of dynamic viscosity is :

If the magnetic bearing of the Sun at a place at noon is S 2$$^\circ$$E. The magnetic declination (in degrees) at that p

The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated

Match the following in Column X with Column Y : Column X Column Y P. In a triaxia

A saturated compressible clay layer of thickness h is sandwiched between two sand layers, as shown in the figure. Initia

A concentrically loaded isolated square footing of size 2 m $$\times$$ 2 m carries a concentrated vertical load of 1000

A soil sample is underlying a water column of height h1, as shown in the figure. The vertical effective stresses at poin

Read the following statements : (P) While designing a shallow footing in sandy soil, monsoon season is considered for cr

The inside diameter of a sampler tube is 50 mm. The inside diameter of the cutting edge is kept such that the Inside Cle

A group of total 16 piles are arranged in a square grid format. The center-to-center spacing (s) between adjacent piles

In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the devia

A flood control structure having an expected life of n years is designed by considering a flood of return period T year

Match Column X with Column Y : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style

A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectare

In a certain month, the reference crop evapotranspiration at a location is 6 mm day. If the crop coefficient and soil co

Read the following statements relating to flexure of reinforced concrete beams : I. In over-reinforced sections, the fai

A post-tensioned concrete member of span 15 m and cross-section of 450 mm $$\times$$ 450 mm is prestressed with three st

Consider two linearly elastic rods HI and IJ. Each of length b, as shown in the figure. The rods are co-linear, and conf

Stresses acting on an infinitesimal soil element are shown in the figure (with $$\sigma$$z > $$\sigma$$x). The major

For a linear elastic and isotropic material, the correct relationship among Young's modulus of elasticity (E), Poisson's

The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizon

For the square steel beam cross-section shown in the figure, the shape factor about Z - Z axis is S and the plastic mome

Which of the following statements is/are correct?

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The stati

A single-lane highway has a traffic density of 40 vehicles km. If the time-mean speed and space-mean speed are 40 kmph a

The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figu

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P

It is given that an aggregate mix has 260 grams of coarse aggregates and 240 grams of fine aggregates. The specific grav

For a traffic stream, V is the space mean speed, k is the density, q is the flow. Vf is the free flow speed, and kf is t

The base length of the runway at the mean sea level (MSL) is 1500 m. If the runway is located at an altitude of 300 m ab

A parabolic vertical crest curve connects two road segments with grades +1.0% and $$-$$2.0%. If a 200 m stopping sight d

The movie was funny and I ____________.

For the picture shown above, which one of the following is the correct picture representing reflection with respect to

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

In a partnership business the monthly investment by three friends for the first six months is in the ratio 3 : 4 : 5. Af

A survey of 450 students about their subjects of interest resulted in the following outcome. $$\bullet$$ 150 students ar

$$x:y:z = {1 \over 2}:{1 \over 3}:{1 \over 4}$$ What is the value of $${{x + z - y} \over y}$$ = ?

Both the numerator and the denominator of $${3 \over 4}$$ are increased by a positive $${15 \over 17}$$ integer, x, and

Consider the following equations of straight lines : Line L1 : 2x $$-$$ 3y = 5 Line L2 : 3x + 2y = 8 Line L3 : 4x $$-$$

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is

Given below are two statements and four conclusions drawn based on the statements. Statement 1 : Some soaps are clean. S