GATE CE format:mcq PYQs & Answers — Page 16

Questions 151–160 of 724. Imported answers require independent review unless marked reviewed.

Topic practice 724 questionsPage 16 of 73

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.

Which one of the following options is CORRECT?

Your answerChoose one option.

P is TRUE and Q is FALSE

Both P and Q are TRUE

P is FALSE and Q is TRUE

Both P and Q are FALSE

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The probability that a student passes only in Mathematics is

. The probability that the student passes only in English is

. The probability that the student passes in both of these subjects is

. The probability that the student will pass in at least one of these two subjects is

Your answerChoose one option.

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The second derivative of a function

is computed using the fourth-order Central Divided Difference method with a step length

The CORRECT expression for the second derivative is

Your answerChoose one option.

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The three-dimensional state of stress at a point is given by

The maximum shear stress at the point is

Your answerChoose one option.

20 MPa

15 MPa

5 MPa

25 MPa

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The function

has

Your answerChoose one option.

Maxima point

Minima point

Saddle point

Inflection point

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Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum number of specimens having at least 30 MPa strength should be

Your answerChoose one option.

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Consider two Ordinary Differential Equations (ODEs):

Which one of the following options is CORRECT?

Your answerChoose one option.

P is a homogeneous ODE and Q is an exact ODE.

P is a homogeneous ODE and Q is not an exact ODE.

P is a nonhomogeneous ODE and Q is an exact ODE.

P is a nonhomogeneous ODE and Q is not an exact ODE.

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Consider the statements P and Q.

P: Client’s Preliminary Estimate is used for budgeting costs toward the end of planning and design phase.

Q: Client’s Detailed Estimate is used for controlling costs during the execution of the project.

Which one of the following options is CORRECT?

Your answerChoose one option.

Both P and Q are TRUE

P is TRUE and Q is FALSE

Both P and Q are FALSE

P is FALSE and Q is TRUE

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A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertical downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear spring at the ends P and Q. For the spring at the end P, the spring constant

kN/m.

Diagram for Civil Engineering question 16

If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant

(in kN/m) for the spring at the end Q is

Your answerChoose one option.

150

100

200

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The following figure shows the arrangement of formwork for cast a cantilever RC beam.

Diagram for Civil Engineering question 17

The correct sequence of removing the Shores/Props is

Your answerChoose one option.

S1→S2→S3→S4→S5

S5→S4→S3→S2→S1

S3→S2→S4→S1→S5

S3→S4→S2→S5→S1

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GATE CE format:mcq PYQs

Question 12

Question 13

Question 13

Question 14

Question 14

Question 15

Question 15

Question 16

Question 16

Question 17