In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?

For the integral $\rm I=\displaystyle\int^1_{-1}\frac{1}{x^2}dx$ which of the following statements is TRUE? 

If M is an arbitrary real n × n matrix, then which of the following matrices will have non-negative eigenvalues? 

The following function is defined over the interval [-L, L]: f(x) = px4 + qx5. If it is expressed as a Fourier se

The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probabilit

In the differential equation $\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$ is a positive constant. If y = 1.0 at x =

A function f(x), that is smooth and convex-shaped between interval (xl , su) is shown in the figure. This function is ob

For the matrix $[A]= \begin{bmatrix}1&2&3\\\ 3&2&1\\\ 3&1&2 \end{bmatrix} $ which of the follo

For the function f(x) = ex |sin x|; x ∈ ℝ, which of the following statements is/are TRUE?

The differential equation, $\rm \frac{du}{dt}+2tu^2=1,$ is solved by employing a backward difference scheme within the

Which one of the following statements is TRUE for Greenhouse Gas (GHG) in the atmosphere?

Identify the waterborne diseases caused by viral pathogens:

Which of the following statements is/are TRUE for the Refuse-Derived Fuel (RDF) in the context of Municipal Solid Waste

In the following table, identify the correct set of associations between the entries in Column - 1 and Column-2.

Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) ‘Dmax’ in the atmosphe

The composition and energy content of a representative solid waste sample are given in the table. If the moisture conten

A flocculator tank has a volume of 2800 m3. The temperature of water in the tank is 15°C, and the average velocity gradi

The wastewater inflow to an activated sludge plant is 0.5 m3/s, and the plant is to be operated with a food to microorga

When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become _________.

G1 and G2 are the slopes of the approach and departure grades of a vertical curve, respectively. Given |G1| < |G2| a

A very wide rectangular channel carries a discharge (Q) of 70 m3/s per meter width. Its bed slope changes from 0.0001 to

A jet of water having a velocity of 20 m/s strikes a series of plates fixed radially on a wheel revolving in the same di

A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m an

The direct and reversed zenith angles observed by a theodolite are 56° 00' 00" and 303° 00' 00", respectively. What

A student is scanning his 10 inch × 10 inch certificate at 600 dots per inch (dpi) to convert it to raster. What is the

Trigonometric levelling was carried out from two stations P and Q to find the reduced level (R. L.) of the top of hilloc

The specific gravity of a soil is 2.60. The soil is at 50% degree of saturation with a water content of 15%. The void ra

A group of 9 friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of d

A possible slope failure is shown in the figure. Three soil samples are taken from different locations (I, II and III) o

A drained direct shear test was carried out on a sandy soil. Under a normal stress of 50 kPa, the test specimen failed a

With reference to the compaction test conducted on soils, which of the following is INCORRECT?

Consider that a force P is acting on the surface of a half-space (Boussinesq’s problem). The expression for the vertical

A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil strat

A soil having the average properties, bulk unit weight = 19 kN/m3 ; angle of internal friction = 25° and cohesion =

A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine’s earth pressure theo

A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/

The ordinates of a one-hour unit hydrograph for a catchment are given below:  $$ \begin{array}{|l|l|l|l|l|l|l|l|l|

A 12-hour storm occurs over a catchment and results in a direct runoff depth of 100 mm. The time-distribution of the rai

In Horton’s equation fitted to the infiltration data for a soil, the initial infiltration capacity is 10 mm/h; final inf

A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 1

Creep of concrete under compression is defined as the _________. 

A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magn

Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the com

Consider the fillet-welded lap joint shown in the figure (not to scale). The length of the weld shown is the effective l

A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-poin

Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is t

Consider the beam shown in the figure (not to scale), on a hinge support at end A and a roller support at end B. The bea

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What i

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y -

Consider the following three structures :  Structure I : Beam with hinge support at A, roller at C, guided ro

Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members

An idealised bridge truss is shown in the figure. The force in Member U2L3 is __________ kN (round off to one decim

For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allo

A plot of speed-density relationship (linear) of two roads (Road A and Road B) is shown in the figure. If the capacit

Which of the following options match the test reporting conventions with the given material tests in the table?

“I have not yet decided what I will do this evening; I ______ visit a friend.”

Eject : Insert : : Advance : _______ (By word meaning)

In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V s

A duck named Donald Duck says “All ducks always lie.” Based only on the information above, which one of the following s

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror im

Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logica

Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. p

The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by

Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: loga c, logc a, logb a, loga b Which one of the

A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and tw