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**Sample Questions for GRE Mathematics Subject Test**

From these GRE Mathematics sample questions and GRE Mathematics taken by ETS it is clear that candidate must familiar with Definitions, Statements of important theorem, Mathematical facts, and techniques for solving problems. Candidate must also capable of solving problems using Definition and Statements of important concepts and theorems.

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**1.** (1 + *i*)^{24} = ?

(A) 2

(B) 2*i*

(C) 2^{8}

(D) 2^{8}*i*

(E) 2^{12}

**2.** What’s the remainder when 2^{125} is divided by 13?

(A) 2

(B) 4

(C) 6

(D) 8

(E) 10

**3.** The function *f* is continuous on the interval 3≤ *x *≤7 such that *f*(3) = –2 and *f*(7) = 2 then there is a point *c* between 3 and 7 such that *f*(*c*) = ?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 7

**4.** Find the equation of the tangent to the curve

(A) 2y = x + 2ln2

(B) 2y = –x + 2ln2

(C) 4y = 2x +1+ 2ln2

(D) 4y = –2x +1+2ln 2

(E) 4y = x + ln2

**5.** Let *X* be the set {*a, b, c, d*} and let:

be the collection of subsets of *X*. Then which (*T*_{1}, *T*_{2}, *T*_{3}) form topology on *X* ?

(A) *T*_{1} only

(B) *T*_{2} only

(C) *T*_{1} and *T*_{2}

(D) *T*_{1} and *T*_{3}

(E) *T*_{1}, *T*_{2} and *T*_{3}

**ANSWERS: GRE MATHEMATICS SAMPLE QUESTIONS**

1. E

2. C

3. A

4. D

5. E