Civil Engineering Gate 2022 Set-1 Questions with Answer

Ques 40 GATE 2022 SET-1


The correct match between the physical states of the soils given in Group I and the governing conditions given in Group II is

A

1-S, 2-P, 3-Q, 4-R

B

1-Q, 2-S, 3-P, 4-R

C

1-Q, 2-P, 3-R, 4-S

D

1-S, 2-Q, 3-P, 4-R


(a) is the correct answer.

Ques 41 GATE 2022 SET-1


As per Rankine's theory of earth pressure, the inclination of failure planes is (45 + φ/2)° with respect to the direction of the minor principal stress. The above statement is correct for which one of the following options?

A

Only the active state and not the passive state

B

Only the passive state and not the active state

C

Both active as well as passive states

D

Neither active nor passive state


(c) is the correct answer.

Ques 42 GATE 2022 SET-1


Henry's law constant for transferring O2 from air into water, at room temperature, is 1.3 (mmol / (liter-atm)). Given that the partial pressure of O2 in the atmosphere is 0.21 atm, the concentration of dissolved oxygen (mg/liter) in water in equilibrium with the atmosphere at room temperature is _______. (Consider the molecular weight of O2 as 32 g/mol)

A

8.7

B

0.8

C

198.1

D

0.2


(a) is the correct answer.

Ques 43 GATE 2022 SET-1


In a water sample, the concentrations of Ca2+, Mg2+ and HCO3- are 100 mg/L, 36 mg/L and 122 mg/L, respectively. The atomic masses of various elements are: Ca = 40, Mg = 24, H = 1, C = 12, O = 16. The total hardness and the temporary hardness in the water sample (in mg/L as CaCO3) will be

A

400 and 100, respectively.

B

400 and 300, respectively.

C

500 and 100, respectively.

D

800 and 200, respectively.


(a) is the correct answer.

Ques 44 GATE 2022 SET-1


Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-density relationship of a traffic stream. The correct speed-flow relationship of the traffic stream is

A

kP > kQ > kR > kS

B

kS > kR > kQ > kP

C

kQ > kR > kS > kP

D

kQ > kR > kP > kS


(b) is the correct answer.

Ques 45 GATE 2022 SET-1


Let max {a, b} denote the maximum of two real numbers a and b. Which of the following statement(s) is/are TRUE about the function f(x) = max{3 - x, x - 1}?

A

It is continuous on its domain.

B

It has a local minimum at x = 2.

C

It has a local maximum at x = 2.

D

It is differentiable on its domain.


(a; b) is the correct answer.

Ques 46 GATE 2022 SET-1


In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an irrigation canal, is/are

A

In an aqueduct, natural drain water goes under the irrigation canal, whereas in a super-passage, natural drain water goes over the irrigation canal.

B

In a level crossing, natural drain water goes through the irrigation canal.

C

In an aqueduct, natural drain water goes over the irrigation canal, whereas in a super-passage, natural drain water goes under the irrigation canal.

D

In a canal syphon, natural drain water goes through the irrigation canal.


(a; b) is the correct answer.

Ques 47 GATE 2022 SET-1


Consider the differential equation dy/dx = 4(x + 2) - y For the initial condition y = 3 at x = 1, the value of y at x = 1.4 obtained using Euler's method with a step-size of 0.2 is _______. (round off to one decimal place)


(6.4 to 6.4) is the correct answer.

Ques 48 GATE 2022 SET-1


A set of observations of independent variable (x) and the corresponding dependent variable (y) is given below.

Based on the data, the coefficient a of the linear regression model y = a + bx is estimated as 6.1. The coefficient b is _______. (round off to one decimal place)


(1.9 to 1.9) is the correct answer.

Ques 49 GATE 2022 SET-1


The plane truss shown in the figure is subjected to an external force P.

It is given that P = 70 kN, a = 2 m, and b = 3 m. The magnitude (absolute value) of force (in kN) in member EF is _______. (round off to the nearest integer)


(30 to 30) is the correct answer.

Ques 50 GATE 2022 SET-1


Consider the linearly elastic plane frame shown in the figure. Members HF, FK and FG are welded together at joint F. Joints K, G and H are fixed supports. A counter-clockwise moment M is applied at joint F. Consider flexural rigidity EI = 105 kN-m2 for each member and neglect axial deformations.

If the magnitude (absolute value) of the support moment at H is 10 kN-m, the magnitude (absolute value) of the applied moment M (in kN-m) to maintain static equilibrium is _______. (round off to the nearest integer)


(30 to 30) is the correct answer.

Ques 51 GATE 2022 SET-1


A reinforced concrete beam with rectangular cross section (width = 300 mm, effective depth = 580 mm) is made of M30 grade concrete. It has 1% longitudinal tension reinforcement of Fe 415 grade steel. The design shear strength for this beam is 0.66 N/mm2. The beam has to resist a factored shear force of 440 kN. The spacing of two-legged, 10 mm diameter vertical stirrups of Fe 415 grade steel is _______ mm. (round off to the nearest integer)


(100 to 100) is the correct answer.

Ques 52 GATE 2022 SET-1


A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile is _______ mm. (in integer) (Bearing capacity factor Nc = 9; adhesion factor α = 0.7)


(300 to 300) is the correct answer.

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