Mathematics
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.
Question 54
Open questionMANAT2 marksNeeds review
For each
, consider the decimal representation
. Define
by
if
is rational and
if
is irrational, where
is the number of zeroes immediately after the decimal point up to the first nonzero digit in the decimal representation of
. Then the Lebesgue integral
__________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 55
Open questionMANAT2 marksNeeds review
Let
be an optimal solution of the following Linear Programming Problem
:
subject to
If
is an optimal solution of the dual of
, then
__________ (round off to two decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer