Questions

65

Across all archived sections

Imported marks

100

As recorded in the source

Sections

2

MA · GA

Year

2017

Archive paper 1

01 · START HERE

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02 · PAPER STRUCTURE

What’s inside this paper?

Question counts and marks reflect the imported source, grouped by section.

MA

Mathematics

Questions
55
Imported marks
85
GA

General Aptitude

Questions
10
Imported marks
15

03 · QUESTION BROWSER

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Section

Question type

Showing 1–12 of 65 questions

NAT1 mark

MA · Question 1

Mathematics

Consider the vector space of polynomials of degree at most 2. Let be a linear functional such that , and . Then equals .

NAT1 mark

MA · Question 2

Mathematics

Let be a matrix such that , where is the identity matrix. If has two distinct eigenvalues and each eigenvalue has geometric multiplicity 3, then the total number of nonz…

MCQ1 mark

MA · Question 3

Mathematics

Let and for . Then, in the complex plane ,

NAT1 mark

MA · Question 4

Mathematics

If is the Laurent series of the function for , then equals .

MCQ1 mark

MA · Question 5

Mathematics

Let be given by , . Then the sequence

NAT1 mark

MA · Question 6

Mathematics

Let be the circle in oriented positively. Then equals .

MCQ1 mark

MA · Question 7

Mathematics

Consider the following statements: (P): There exists an unbounded subset of whose Lebesgue measure is equal to 5. (Q): If is continuous and is such that almost everywher…

MCQ1 mark

MA · Question 8

Mathematics

If is an integrating factor of , where , then

NAT1 mark

MA · Question 9

Mathematics

If and are the solutions of the system and with the initial conditions and , then equals .

MCQ1 mark

MA · Question 10

Mathematics

If is the solution of the initial value problem , and , where , then

NAT1 mark

MA · Question 11

Mathematics

Let be a non-abelian group of order 125. Then the total number of elements in equals .

NAT1 mark

MA · Question 12

Mathematics

Let and be subfields of a finite field consisting of and elements, respectively. Then the total number of elements in equals .

04 · CONTINUE PREPARING

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About the question archive

Question text and tags are imported from paper sources and require independent review unless explicitly marked reviewed. For diagrams, equations and official instructions, refer to the original paper viewer.