1. Home
  2. GATE
  3. Mathematics
  4. 2020 Paper 1
Mathematics

2020 · Paper 1

Take it one question at a time. Try an answer, then check your understanding.

Complete GATE MA 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 11 of 22

Question 21

Open question
MANAT1 markNeeds review
For

, define the sequence

by

Then the sequence

converges to __________ (correct up 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

Question 22

Open question
MANAT1 markNeeds review
Let

be equipped with the norm

and let

be the linear functional on

given by

Then

is equal to __________

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

Question 23

Open question
MANAT1 markNeeds review
If

is the set of basic variables of a balanced transportation problem seeking to minimize cost of transportation from origins to destinations, where the cost matrix is, [table: columns

, Availability; rows

: 6, 2, -1, 0, 10;

: 4, 2, 2, 3,

;

: 3, 1, 2, 1,

; Demand: 10,

,

, 15]. and

, then

is equal to

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