Recent questions tagged gate2014-ce-1

Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered $1,$ the floor above it $2,$and so on). An...

Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIKALRVX EPVZB ITZDF OYEIK

The monthly rainfall chart based on $50$ years of rainfall in Agra is shown in the following figure. Which of the following are true? ($k$ percentile is the value such th...

One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in count...

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...

A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is the daily production in tonnes. What is the cost of pr...

If $y=5x^{2}+3,$then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$

A levelling is carried out to establishing the Reduced Levels (RL) of point R with respect to the Bench Mark (BM) at P. The staff readings taken are given below:$\begin{a...

Group I lists tool/instrument while Group II lists the method of surveying. Match the tool/instrument with the corresponding method of surveying.$\begin{array}{ll} \text...

An isolated three-phase traffic signal is designed by Webster’s method. The critical flow ratios for three phases are $0.20$, $0.30$, and $0.25$ respectively, and lost ti...

A traffic survey conducted on a road yields an average daily traffic count of $5000$ vehicles. The axle load distribution on the same road is given in the following table...

For a sample water with the ionic composition shown in the figure below, the carbonate and non-carbonate hardness concentrations (in mg/l as $CaCO_3$), respectively are:$...

A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this wate...

The speed-density $(u-k)$ relationship on a single lane road with unidirectional flow is $u=70-0.77k$, where $u$ is in km/hr and $k$ is in veh/km. The capacity of the roa...

A rectangular channel having a bed slope of $0.0001$, width $3.0$ m and Manning’s coefficient $’n’$ $0.015$, carries a discharge of $1.0 \: m^3/s$. Given that the norma...

Three rigid buckets, shown as in the figures $(1)$, $(2)$, and $(3)$, are of identical heights and base areas. Further, assume that each of these buckets have negligible ...

$16$ MLD of water is flowing through a $2.5$ km long pipe of diameter $45$ cm. The chlorine at the rate of $32$ kg/d is applied at the entry of this pipe so that disinfec...

A horizontal jet of water with its cross-sectional area of $0.0028 \: m^2$ hits a fixed vertical plate with a velocity of $5$ m/s. After impact, the jet splits symmetrica...

A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an...

An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$...

The potable water is prepared from turbid surface water by adopting the following treatment sequence.Turbid surface water $\rightarrow$ Coagulation $\rightarrow$ Floccula...

In a reinforced concrete section, the stress at the extreme fibre in compression is $5.80$ MPa. The depth of neutral axis in the section is $58$ mm and the grade of concr...

The following data are given for the laboratory sample.$\sigma_0=175$ kPa; $e_0 =1.1$; $\sigma_0 + \Delta \sigma_0 =300$ kPa; $e=0.9$If thickness of the clay specimen is...

The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are$30.33$ and $20.00$$30.33$ and $25.00$$33.33$ and $20.00$$33.33$ and $...

For a beam of cross-section, width $=230$ mm and effective depth $=500$ mm, the number of rebars of $12$ mm diameter required to satisfy minimum tension reinforcement req...

Group I contains representative load-settlement curves for different modes of bearing capacity failures of sandy soil. Group II enlists the various failure characteristic...

A given cohesionless soil has $e_{\text{max}} = 0.85$ and $e_{\text{min}} =0.50$. In the field, the soil is compacted to a mass density of $1800 \: kg/m^3$ at a water con...

The flow net constructed for the dam is shown in the figure below. Taking the coefficient of permeability as $3.8 \times 10^{-6}$ m/s, the quantity of flow (in $cm^3/s$) ...

For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section locate...

A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with...

A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance cover...

For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______

A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade o...

Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the ...

A traffic office imposes on an average $5$ number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follow...

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is$$\frac{d^2y}{dx^2}+\frac{P}{EI}y=0...