GATE CE kind:question PYQs & Answers — Page 29

Questions 281–290 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 29 of 130

The smallest positive root of the equation

lies in the range

Your answerChoose one option.

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A partial differential equation

is defined for the two-dimensional field

, inside a plane square domain of size 2 m × 2 m. Three boundary edges of the square domain are maintained at value

, whereas the fourth boundary edge is maintained at

The value of

at the center of the domain is

Your answerChoose one option.

50.0

62.5

75.0

87.5

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The second-order differential equation in an unknown function

is defined as

Assuming

, and

, the general solution of the above differential equation is

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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

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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

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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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GATE CE kind:question PYQs

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