GATE MA 2021 Paper 1 — page 4

Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.

Some people suggest anti-obesity measures (AOM) such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity: poverty and income inequality. Which one of the following statements summarizes the passage?

Your answerChoose one option.

The proposed AOM addresses the core problems that cause obesity.

If obesity reduces, poverty will naturally reduce, since obesity causes poverty.

AOM are addressing the core problems and are likely to succeed.

AOM are addressing the problem superficially.

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Let

be a

matrix and

be a

matrix with real entries such that

is non-singular. Consider the following statements:

P: Nullity of

is 0.

is a non-singular matrix.

Then

Your answerChoose one option.

both P and Q are TRUE

P is TRUE and Q is FALSE

P is FALSE and Q is TRUE

both P and Q are FALSE

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Let

for

, where

and

are real numbers, be a non-constant analytic function on the complex plane

. Let

and

denote the first order partial derivatives of

and

with respect to real variables

and

, respectively. Consider the following two functions defined on

Then

Your answerChoose one option.

both

and

are analytic in

is analytic in

and

is NOT analytic in

and

is analytic in

neither

nor

is analytic in

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2021 · Paper 1

Question 10

Question 1

Question 2