GATE CE format:nat PYQs & Answers — Page 20

Questions 191–200 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 20 of 50

At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance

was 100 kPa at a certain depth. The friction ratio (

) was estimated as 1 % at the same depth.

The value of sleeve (side) friction (in kPa) at that depth was ________________. (in integer)

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In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the deviatoric stress at failure was 150 kPa, then the undrained shear strength of the soil is ________ kPa. (in integer)

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During a particular stage of the growth of a crop, the consumptive use of water is 2.8 mm/day. The amount of water available in the soil is 50 % of the maximum depth of available water in the root zone. Consider the maximum root zone depth of the crop as 80 mm and the irrigation efficiency as 70 %.

The interval between irrigation (in days) will be _________. (round off to the nearest integer)

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A flood control structure having an expected life of

years is designed by considering a flood of return period

years. When

, and

, the structure’s hydrologic risk of failure in percentage is ______. (round off to one decimal place)

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The bearing of a survey line is N

W. Its azimuth observed from north is _____ deg. (round off to two decimal places)

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The base length of the runway at the mean sea level (MSL) is 1500 m. If the runway is located at an altitude of 300 m above the MSL, the actual length (in m) for the runway to be provided is ____________. (round off to the nearest integer)

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Consider the differential equation

For the initial condition

, the value of

obtained using Euler’s method with a step-size of 0.2 is ________. (round off to one decimal place)

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The concentration

of pollutants in a one-dimensional reservoir at position

and time

satisfies the diffusion equation

on the domain

, where

is the diffusion coefficient of the pollutants. The initial condition

is defined by the step-function shown in the figure.

The boundary conditions of the problem are given by

at the boundary points

and

at all times. Consider

, and

. The steady-state concentration

at the center

of the reservoir (in

) is ________. (in integer)

Diagram for Civil Engineering question 48

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A set of observations of independent variable (

) and the corresponding dependent variable (

) is given below.

	5	2	4	3
	16	10	13	12

Based on the data, the coefficient

of the linear regression model

is estimated as 6.1.

The coefficient

is ______________. (round off to one decimal place)

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A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is ______. (round off to three decimal places)

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GATE CE format:nat PYQs

Question 33

Question 33

Question 34

Question 34

Question 35

Question 35

Question 48

Question 48

Question 49

Question 49