TIFR Previous Years Question Paper

Will you please give here sample question Paper for Graduate School Admissions (GS) test of Tata Institute of Fundamental Research (TIFR) ?

[Pathak]

As you requires here I am giving you sample question paper for Graduate School Admissions (GS) test of Tata Institute of Fundamental Research (TIFR).

1. Every countable group G has only countably many distinct subgroups.

2. Any automorphism of the group Q under addition is of the form x → qx
for some q ∈ Q.

3. The equation x3 + 3x − 4 = 0 has exactly one real root.

4. The equation x3 + 10x2 − 100x + 1729 = 0 has at least one complex
root α such that |α| > 12.

5. All non-trivial proper subgroups of (R, +) are cyclic.

6. Every infinite abelian group has at least one element of infinite order.

7. If A and B are similar matrices then every eigenvector of A is an
eigenvector of B.

8. If a real square matrix A is similar to a diagonal matrix and satisfies
An = 0 for some n, then A must be the zero matrix.

9. There is an element of order 51 in the multiplicative group (Z/103Z)∗.

TIFR : GS test sample paper





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