GATE XE kind:question PYQs & Answers — Page 75

Questions 741–750 of 1772. Imported answers require independent review unless marked reviewed.

Let

and

matrices with real entries. Consider the following statements:

P: If

is symmetric then

Number of nonzero eigen values (count multiplicity) of

Q: If

then

Then

Your answerChoose one option.

both P and Q are TRUE

P is TRUE and Q is FALSE

P is FALSE and Q is TRUE

both P and Q are FALSE

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Let

be given by

. The number of critical points where

has local maximum is equal to _________.

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If the quadrature rule

where

and

are real constants, is exact for all polynomials of degree

, then

is equal to ______.

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A heavy horizontal cylinder of diameter

supports a mass of liquid having density

as shown in the figure. Find out the vertical component of force exerted by the liquid per unit length of the cylinder if

is the acceleration due to gravity.

Diagram for Engineering Sciences question 22

Your answerChoose one option.

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The figure shows the developing zone and the fully developed region in a pipe flow where the steady flow takes place from left to right. The wall shear stress in the sections A, B, C, and D are given by

, and

, respectively. Select the correct statement.

Diagram for Engineering Sciences question 23

Your answerChoose one option.

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The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination


1. Reynolds number	i. Wave drag
2. Froude number	ii. Compressible flow
3. Mach number	iii. Viscous drag
4. Weber number	iv. Spray formation

Your answerChoose one option.

1-iii, 2-i, 3-ii, 4-iv

1-i, 2-ii, 3-iv, 4-iii

1-iv, 2-iii, 3-iv, 4-iii

2-iv, 1-iii, 3-ii, 4-i

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As temperature increases

Your answerSelect all correct options. You can choose more than one.

the dynamic viscosity of a gas increases.

the dynamic viscosity of a liquid decreases.

the dynamic viscosity of a liquid does not change.

the dynamic viscosity of a gas decreases.

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Which of the following statement(s) regarding a venturimeter is/are correct?

Your answerSelect all correct options. You can choose more than one.

In the direction of flow, it consists of a converging section, a throat, and a diverging section.

In the direction of flow, it consists of a diverging section, a throat, and a converging section.

It is used for flow measurement at a very low Reynolds number.

Pressure tappings are provided just upstream of the venturimeter and at the throat.

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Which of the following statement(s) is/are true for streamlines in a steady incompressible flow?

Your answerSelect all correct options. You can choose more than one.

Two streamlines cannot intersect each other.

Flow rate increases between two diverging streamlines.

Flow rate decreases between two diverging streamlines.

Stream function has a constant value along a streamline.

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A flow has a velocity potential given by

where ‘A’ is a non-zero constant. Which of the following statement(s) is/are true about the flow?

Your answerSelect all correct options. You can choose more than one.

The flow is incompressible.

The flow is irrotational.

The flow has local acceleration.

The flow has convective acceleration.

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GATE XE kind:question PYQs

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