GATE XE year:2017 PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 175. Imported answers require independent review unless marked reviewed.

Topic practice 175 questionsPage 1 of 18

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 ordinary differential equation

where

and

are constants. If

is a solution of the above equation, 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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Consider the ordinary differential equation

In terms of arbitrary constants

and

, the general solution of the above equation is

Your answerChoose one option.

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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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Let

where

is a real variable and

. The value of

is ________.

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GATE XE year:2017 PYQs

How to practice year:2017

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10