Complete GATE XE 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 16–18 of 197. Imported answers require review unless explicitly marked reviewed.

Paper practice 197 questionsPage 6 of 66

Question 16

Open question
XE-ANAT1 markNeeds review
Let

be the lamina of the form

,

, with density

. Then, the mass of

(in integer) is __________

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Question 17

Open question
XE-ANAT1 markNeeds review
Let

be a random variable having probability density function (pdf)

Then, the value of the expectation of

,

(rounded off up to two decimal places) is __________

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Question 18

Open question
XE-AMCQ2 marksNeeds review
Match each entry of List-1 with a suitable entry in List-2 and choose the correct option.
List-1
List-2
P. The sum of the series

is equal to
I.

Q.

is equal to
II.

R. Let

be the Fourier series expansion of the function

,

. Then,

is equal to
III.

Your answerChoose one option.

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