# GRE-Mathematics Sample Questions

The Graduate Record Examination, or GRE, is a significant step on graduate level or business college application process. The GRE is a multiple choice, computer based, institutionalized test that is regularly required for admission to graduate programs and graduate business programs (MBA) all inclusive.

GRE Mathematics is intended to test student grip regarding the subject, and help schools to analyze the capability of the subject of candidate. GRE Mathematics is essential for taking admission many top colleges.

**Sample Questions for GRE Mathematics**

**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**

**1. E**

**2. C**

**3. A**

**4. D**

**5. E**

**6.** Which from the following sets is NOT closed under multiplication?

(A) Set of Integers

(B) Set of Real Numbers

(C) Set of Natural Numbers

(D) {0}

(E) All are closed

**7.** For a function *f* at point 7 to be continuous, which from the following must true?

**I.** *f* (7) is defined

**II.** _{}

**III.** _{}

(A) I only

(B) III only

(C) I and III only

(D) II and III only

(E) I, II and III

**8.** If

for all positive x, then *F ***’**(x) = ?

(A) 2x

(B) 2x^{4}

(C) 2xe^{x4}

(D) 2xe^{–x4}

(E) None of these

**9.**For what value of ‘A’ the function

is continuous?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

**10.**If

*G*is a group of order 12, then

*G*must have a subgroup of all of the following orders except?

(A) 2

(B) 3

(C) 4

(D) 6

(E) 12

**Answers**

**6. E**

**7. E**

**8. D**

**9. B**

**10. C**