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601
GATE2017 CE-2-27
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is $\dfrac{\pi ^3}{24} \\$ $\dfrac{\pi ^3}{12} \\$ $\dfrac{\pi ^3}{48} \\$ $\dfrac{\pi ^3}{64}$
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is$\dfrac{\pi ^3}{24} \\$$\dfr...
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602
GATE2017 CE-2-29
Consider the following second-order differential equation: $y’’ – 4y’+3y =2t -3t^2$. The particular solution of the differential solution equation is $ – 2 -2t-t^2$ $ – 2t-t^2$ $2t-3t^2$ $ – 2 -2t-3 t^2$
Consider the following second-order differential equation: $y’’ – 4y’+3y =2t -3t^2$. The particular solution of the differential solution equation is$ – 2 -2t-t...
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612
GATE2017 CE-2-39
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that the shaft can resist is _______
A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that t...
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620
GATE2017 CE-2-47
A catchment is idealized as a $25 \: km \times 25 \: km$ ... . The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is ___________
A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...
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626
GATE2017 CE-2-53
The analysis of a water sample produces the following results: ... $CaCO_3$) of the water sample is _______
The analysis of a water sample produces the following results:$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ ...
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633
GATE Civil 2017 Set 2 | GA Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\dfrac{1}{9} \\$ $\dfrac{2}{9} \\$ $\dfrac{1}{3} \\$ $\dfrac{4}{9}$
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\dfrac{1}{9} \\$$\dfrac{...
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634
GATE Civil 2017 Set 2 | GA Question: 4
What is the value of $x$ when $81\times\left (\dfrac{16}{25} \right )^{x+2}\div\left (\dfrac{3}{5} \right )^{2x+4}=144?$ $1$ $-1$ $-2$ $\text{Can not be determined}$
What is the value of $x$ when $81\times\left (\dfrac{16}{25} \right )^{x+2}\div\left (\dfrac{3}{5} \right )^{2x+4}=144?$$1$$-1$$-2$$\text{Can not be determined}$
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636
GATE Civil 2017 Set 2 | GA Question: 2
There was no doubt that their work was thorough. Which of the words below is closest in meaning to the underlined word above? pretty complete sloppy haphazard
There was no doubt that their work was thorough.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard
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637
GATE Civil 2017 Set 2 | GA Question: 1
The event would have been successful if you____________able to come. are had been have been would have been
The event would have been successful if you____________able to come.arehad beenhave beenwould have been
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638
GATE Civil 2019 Set 1 | GA Question: 1
The lecture was attended by quite _______ students, so the hall was not very _______. a few, quite few, quiet a few, quiet few, quite
The lecture was attended by quite _______ students, so the hall was not very _______.a few, quitefew, quieta few, quietfew, quite
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639
GATE Civil 2019 Set 1 | GA Question: 2
They have come a long way in ________ trust among the users. creating created creation create
They have come a long way in ________ trust among the users.creatingcreatedcreationcreate
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