GATE XE format:mcq PYQs & Answers — Page 77

Questions 761–770 of 959. Imported answers require independent review unless marked reviewed.

Topic practice 959 questionsPage 77 of 96

From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while traveling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

Your answerChoose one option.

210 and 140

162.5 and 187.5

245 and 130

75 and 200

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Which of the following functions describe the graph shown in the below figure?

Diagram for Engineering Sciences question 9

Your answerChoose one option.

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Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly.

Which of the following statements can be logically inferred from the above statements?

Your answerChoose one option.

If (i) is true and (ii) is false, then (iii) is false.

If (i) is true and (ii) is false, then (iii) is true.

If (i) and (ii) are true, then (iii) is true.

If (i) and (ii) are false, then (iii) is false.

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The largest interval in which the initial value problem

has a unique solution is

Your answerChoose one option.

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The sum of the roots of the indicial equation at

of the differential equation

Your answerChoose one option.

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Let

. Then the trace of

equals

Your answerChoose one option.

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Let

denote the set of complex numbers and

. Let

be the simple positively oriented circle

and

. If

is analytic in

and is given by

then the value of the contour integral

Your answerChoose one option.

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Rheological diagram of different types of fluids is shown in figure. Column I represents the nature of the fluid and column II represents the curve showing the variation of shear stress against shear strain rate.

Column I (i) Newtonian (ii) Shear thinning (iii) Shear thickening (iv) Bingham plastic

Column II M N O P

The most appropriate match between columns I and II is,

Diagram for Engineering Sciences question 1

Your answerChoose one option.

(i) – O; (ii) – N; (iii) – P; (iv) – M

(i) – O; (ii) – P; (iii) – N; (iv) – M

(i) – P; (ii) – O; (iii) – M; (iv) – N

(i) – P; (ii) – O; (iii) – N; (iv) – M

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In a two-dimensional, incompressible and rotational flow, stream function (

) and velocity potential (

) exist. The velocities in x and y directions are non-zero.

The product of

and

, is

Your answerChoose one option.

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The inviscid flow past a rotating circular cylinder can be generated by the superposition of

Your answerChoose one option.

uniform flow, source and vortex

uniform flow, doublet

uniform flow, sink and vortex

uniform flow, doublet and vortex

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GATE XE format:mcq PYQs

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