Civil Engineering
GATE CE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 174. Imported answers require independent review unless marked reviewed.
Question 25
Open questionCENAT1 markNeeds review
A horizontal angle θ is measured by four different surveyors multiple times and the values reported are given below.\n\n| Surveyor | Angle θ | Number of observations |\n|---|---|---|\n| 1 | 36°30′ | 4 |\n| 2 | 36°00′ | 3 |\n| 3 | 35°30′ | 8 |\n| 4 | 36°30′ | 4 |\n\nThe most probable value of the angle θ (in degree, round off to two decimal places) is
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Open questionCEMCQ2 marksNeeds review
The solution of the second-order differential equation
with boundary conditions
and
isYour answerChoose one option.
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Open questionCEMCQ2 marksNeeds review
If
is a constant, the general solution of
will be in the form ofYour answerChoose one option.
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Open questionCEMCQ2 marksNeeds review
The value of
using the trapezoidal rule with four equal subintervals isYour answerChoose one option.
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Open questionCEMCQ2 marksNeeds review
The smallest eigenvalue and the corresponding eigenvector of the matrix
, respectively, areYour answerChoose one option.
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Open questionCENAT2 marksNeeds review
The values of abscissa (
) and ordinate (
) of a curve are as follows: | |
|---|---|
2.0 | 5.00 |
2.5 | 7.25 |
3.0 | 10.00 |
3.5 | 13.25 |
4.0 | 17.00 |
By Simpson’s 1/3rd rule, the area under the curve (round off to two decimal places) is ________
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Open questionCENAT2 marksNeeds review
A function is defined in Cartesian coordinate system as
. The value of the directional derivative of the function (in integer) at the point (2, 0) along the direction of the straight line segment from point (2, 0) to point
isLog in to check the answer
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Open questionCENAT2 marksNeeds review
Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval is ________
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Open questionCENAT2 marksNeeds review
Numerically integrate,
from lower limit
to upper limit
. Use Trapezoidal rule with five equal subdivisions. The value (in units, round off to two decimal places) obtained isLog in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionCEMCQ1 markNeeds review
In the following partial differential equation,
is a function of
and
, and
and
are functions of
The above equation is
Your answerChoose one option.
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