This post consists of Problems and solutions from TIFR 2013 Paper. Try to solve them and then read their solutions.
- PART A (Linear and Abstract Algebra)
- Problem 1
- Problem 2 – Automorphism of the Additive Group of Rationals
- Problem 3 – Existence of Real Root
- Problem 4 – Existence of Complex Root
- Problem 5 – Non trivial Proper subgroups of additive group of real numbers
- Problem 6 –
- Problem 7
- Problem 8
- Problem 9 – Multiplicative Group
- Problem 10 – Center of group and normal subgroup of order 2
- Part B (Analysis)
- Problem 11
- Problem 12
- Problem 13
- Problem 14 – Uniform Continuity of
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19 – Differentiability and Uniform Continuity
- Problem 20
- Part C (Topology)
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Part D (Miscellaneous)
- Problem 31 – Inequality of square root function
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
