GATE XE area:engineering-mathematics PYQs & Answers — Page 10

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Questions 91–100 of 102. Imported answers require independent review unless marked reviewed.

Topic practice 102 questionsPage 10 of 11

Let

satisfy the initial and boundary value problem

Then the value of

is ______________

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An atom is restricted to move in one dimension by making unit jumps either to the left or right, as shown in the figure. Assuming that a jump to the left or right is equally probable, the probability of the atom returning back to the start point after four jumps is

Diagram for Engineering Sciences question 7

Your answerChoose one option.

0.250

0.333

0.375

0.500

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If the value of the integral (I) is 4, the value of the constant b is __________ (give answer up to 2 decimal places).

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for some

, then the value of

is ________.

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Three fair dice are rolled simultaneously. The probability of getting a sum of 5 is

Your answerChoose one option.

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Suppose

and

are constants such that

is the interpolation polynomial for the data

, and

. Then the value of

is ________.

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Consider the system of linear equations

The above system has

Your answerChoose one option.

a unique solution

infinite number of solutions

no solution

only two distinct solutions

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Let

be a simple smooth closed curve enclosing the region

in the

-plane. Let

be oriented counterclockwise. If the value of the integral

is 16, then the area of

is ________.

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Let

and

be defined by

where

denotes the set of real numbers. Then, at

Your answerChoose one option.

is differentiable but

is NOT differentiable

is NOT differentiable but

is differentiable

both

and

are differentiable

neither

nor

is differentiable

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is the solution of the wave equation

with the initial conditions

and the boundary conditions

then the value of

is ________.

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GATE XE area:engineering-mathematics PYQs

Question 11

Question 7

Question 19

Question 1

Question 2

Question 3

Question 5

Question 6

Question 8

Question 9