Answers and Explanations

MISCELLANEOUS TOPICS FOLLOW-UP TEST

1 . E

If  9   is  the geocenter   of  5   and x,  then    9   is  equal   to  the positive    square  root

of  the product of  5   and x:

2 .  B

If  we  think   about   this    logic   question    in  the general form    “If p,  then    q,” as

described   on  pages   156-157,    statement   I   is  not necessarily true:   It  just

negates p   and q.  (The    negation    of  “B  is  false,” is  “B  is  true.”) Statement   II

is  not necessarily true:   It  just    switches    p   and q.  Statement   III is  true:   It’s

the contrapositive.

3 .  B

Evaluate    each    choice:

(A) −i^2    =   (−1)(i^2 )  =   (−1)(−1)    =   1

(B) (−i)^2  =   (−i)(−i)    =   i^2     =   −1

(C) i^4     =   (i^2 )(i^2 )    =   (−1)(−1)    =    1