Mathematics → GRE Mathematics → GRE Mathematics Subject Test Sample Paper

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**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: GRE MATHEMATICS SUBJECT TEST SAMPLE PAPER**

6. E

7. E

8. D

9. B

10. C