Complete GATE XE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 16–18 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 6 of 59

Question 6

Open question
XE-ANAT1 markNeeds review
Let the transformation

reduce the ordinary differential equation

to

where

are real constants. Then, the arithmetic mean of

is ______ (round off to three decimal places).

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Question 7

Open question
XE-ANAT1 markNeeds review
A person, who speaks the truth 3 out of 4 times, throws a fair dice with six faces and informs that the outcome is 5. The probability that the outcome is really 5 is ________ (round off to three decimal places).

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Question 8

Open question
XE-AMCQ2 marksNeeds review
Let

be a real valued function. Then, which one of the following statements is TRUE for all

?
Your answerChoose one option.

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