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Recent questions tagged numerical-answers

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1 answer
482
GATE2018 CE-2: 20
The quadratic equation $2x^2 - 3x +3=0$ is to be solved numerically starting with an initial guess as $x_0=2$. The new estimate of $x$ after the first iteration using Newton-Raphson method is _________
The quadratic equation $2x^2 - 3x +3=0$ is to be solved numerically starting with an initial guess as $x_0=2$. The new estimate of $x$ after the first iteration using New...
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0 answers
483
GATE2018 CE-2: 19
Probability (up to one decimal place) of consecutively picking $3$ red balls without replacement from a box containing $5$ red balls and $1$ white ball is ___________
Probability (up to one decimal place) of consecutively picking $3$ red balls without replacement from a box containing $5$ red balls and $1$ white ball is ___________
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0 answers
484
GATE2018 CE-2: 25
A culvert is designed for a flood frequency of $100$ years and a useful life of $20$ years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is _______
A culvert is designed for a flood frequency of $100$ years and a useful life of $20$ years. The risk involved in the design of the culvert (in percentage, up to two decim...
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0 answers
487
GATE2018 CE-2: 23
A fillet weld is simultaneously subjected to factored normal and shear stresses of $120$ MPa and $50$ MPa, respectively. As per $\text{ IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) is _____
A fillet weld is simultaneously subjected to factored normal and shear stresses of $120$ MPa and $50$ MPa, respectively. As per $\text{ IS }800:2007$, the equivalent stre...
0 votes
1 answer
491
GATE2018 CE-1: 51
A water sample analysis data is given below, ... $CaCO_3$, up to one decimal place), for the water sample, is ____
A water sample analysis data is given below,$$\begin{array}{|c|c|} \hline \textbf{Ion} & \textbf{Concentration, mg/L} & \textbf{Atomic Weight} \\ \hline Ca^{2+} & 60 & 40...
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1 answer
492
GATE2018 CE-1: 48
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below ... The Thiessen mean value (in mm, up to one decimal place) of the rainfall is _____
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below$$\begin{array}{|c|c|} \hline\textbf{Rain Gaug...
0 votes
2 answers
503
GATE2018 CE-1: 42
The dimensions of a symmetrical welded I-section are shown in the figure. The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____
The dimensions of a symmetrical welded I-section are shown in the figure.The plastic section modulus about the weaker axis (in $cm^3$, up to decimal place) is _____
0 votes
1 answer
504
GATE2018 CE-1: 38
The solution (up to three decimal places) at $x=1$ of the differential equation $\dfrac{d^2y}{dx^2} + 2 \dfrac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ and $\dfrac{dy}{dx}(0) = -1$ is _____
The solution (up to three decimal places) at $x=1$ of the differential equation $\dfrac{d^2y}{dx^2} + 2 \dfrac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ a...
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508
GATE2018 CE-1: 24
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third coefficient $C_2$ would be ____
For routing of flood in a given channel using the Muskingum method, two of the routing coefficients are estimated as $C_0=-0.25$ and $C_1=0.55$. The value of the third co...
0 votes
2 answers
509
GATE2018 CE-1: 21
A core cutter of $130$ mm height has inner and outer diameters of $100$ mm and $106$ mm, respectively. The area ratio of the core cutter (in $\%$, up to two decimal places) is _____
A core cutter of $130$ mm height has inner and outer diameters of $100$ mm and $106$ mm, respectively. The area ratio of the core cutter (in $\%$, up to two decimal place...
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0 answers
511
GATE2018 CE-1: 19
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa, up to two decimal places) will be ______
In a fillet weld, the direct shear stress and bending tensile stress are $50$ MPa and $150$ MPa, respectively. As per $\text{IS }800:2007$, the equivalent stress (in MPa,...
0 votes
1 answer
513
GATE2018 CE-1: 23
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places) is _____
A $10$ m wide rectangular channel carries a discharge of $20 \: m^3/s$ under critical condition. Using $g=9.81 m/s^2$, the specific energy (in m, up to two decimal places...
0 votes
0 answers
514
GATE2018 CE-1: 17
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0, -1, 1)$ is ____
A flow field is given by $u=y^2, \: v=-xy, \: w=0$. Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point $(0...
0 votes
0 answers
515
GATE2018 CE-1: 18
The frequency distribution of the compressive strength of $20$ ... $20$) with compressive strength less than $\mu - 3 \sigma$ is ____
The frequency distribution of the compressive strength of $20$ concrete cube specimen is given in the table.$$\begin{array}{|c|c|} \hline f \text{ (MPa)} & \text{Number o...
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