GRE Math Practice Test

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6. Calculate

(A) 0
(B) 1
(C) 1/2
(D) 1/4
(E) ∞

7. Let X be a nonempty set, and O₁ and O₂ are open sets in T. To prove a topology T on X which from the following need NOT to prove:
(A) Ø is in T
(B) O₁∩O₂ is in T
(C) O₁∪O₂ is in T
(D) O₁^c and O₂^c are in T
(E) X is in T

8. Calculate

(A) 60
(B) 65
(C) 70
(D) 75
(E) 80

9.

(A) 0
(B) $\pi/4$
(C) $\pi/2$
(D) $\pi$
(E) 2 $\pi$

10. If f (x) = ln(logx) and g(x) = 10^{e^–7} Then (fog)(x) = ?
(A) 7
(B) –7
(C) ln7
(D) e⁷
(E) e^–7

ANSWERS: GRE MATH PRACTICE TEST
6. D
7. D
8. B
9. C
10. B