GATE CE format:mcq PYQs & Answers — Page 33

Questions 321–330 of 724. Imported answers require independent review unless marked reviewed.

If the magnetic bearing of the Sun at a place at noon is S 2° E, the magnetic declination (in degrees) at that place is

Your answerChoose one option.

2° E

2° W

4° E

4° W

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The Cartesian coordinates of a point P in a right-handed coordinate system are (1, 1, 1). The transformed coordinates of P due to a 45° clockwise rotation of the coordinate system about the positive

-axis are

Your answerChoose one option.

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Consider the polynomial

on the domain

given by

. The first and second derivatives are

and

Consider the following statements:

I. The given polynomial is zero at the boundary points

and

II. There exists one local maxima of

within the domain

III. The second derivative

throughout the domain

IV. There exists one local minima of

within the domain

The correct option is:

Your answerChoose one option.

Only statements I, II and III are correct.

Only statements I, II and IV are correct.

Only statements I and IV are correct.

Only statements II and IV are correct.

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A semi-circular bar of radius

m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude

kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for

, respectively, are

Diagram for Civil Engineering question 37

Your answerChoose one option.

kN,

kN, and

kNm

kN,

kN, and 0 kNm

0 kN,

kN, and

kNm

kN, 0 kN, and

kNm

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An undamped spring-mass system with mass

and spring stiffness

is shown in the figure. The natural frequency and natural period of this system are

rad/s and

s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are

Your answerChoose one option.

rad/s and

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A weld is used for joining an angle section ISA 100 mm × 100 mm × 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa. The location of the centroid of the angle is represented by

in the figure, where

mm. The area of cross-section of the angle is 1903 mm

. Assuming the effective throat thickness of weld to be 0.7 times the given weld size, the lengths

and

(rounded off to the nearest integer) of the weld required to transmit a load equal to the full strength of the tension member are, respectively

Diagram for Civil Engineering question 38

Your answerChoose one option.

541 mm and 214 mm

214 mm and 541 mm

380 mm and 151 mm

151 mm and 380 mm

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For the square steel beam cross-section shown in the figure, the shape factor about

axis is

and the plastic moment capacity is

. Consider yield stress

MPa and

mm.

\n\nThe values of

and

(rounded-off to one decimal place) are

Your answerChoose one option.

kN-m

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The project activities are given in the following table along with the duration and dependency.

Activities	Duration (days)	Depends on
P	10	-
Q	12	-
R	5	P
S	10	Q
T	10	P, Q

Which one of the following combinations is correct?

Your answerChoose one option.

Total duration of the project = 22 days, Critical path is Q → S

Total duration of the project = 20 days, Critical path is Q → T

Total duration of the project = 22 days, Critical path is P → T

Total duration of the project = 20 days, Critical path is P → R

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A post-tensioned concrete member of span 15 m and cross-section of 450 mm × 450 mm is prestressed with three steel tendons, each of cross-sectional area 200 mm². The tendons are tensioned one after another to a stress of 1500 MPa. All the tendons are straight and located at 125 mm from the bottom of the member. Assume the prestress to be the same in tendons and the modular ratio to 6. The average loss of prestress, due to elastic deformation of concrete, considering all three tendons is

Your answerChoose one option.

14.16 MPa

7.08 MPa

28.32 MPa

42.48 MPa

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

Group I:

normally consolidated soil

quick clay

sand in critical state

clay of high plasticity

Group II: P. sensitivity > 16 Q. dilation angle = 0 R. liquid limit > 50 S. over consolidation ratio = 1

Your answerChoose one option.

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

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

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

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

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GATE CE format:mcq PYQs

Question 24

Question 36

Question 36

Question 37

Question 37

Question 38

Question 38

Question 39

Question 39

Question 40