**1** If one-half of a number is 8 less than two-thirds of the number, what is
the number?

(1) 24 (3) 48

(2) 32 (4) 54

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**2 **Which statement is logically equivalent to “If I eat, then I live”?

(1) If I live, then I eat.

(2) If I eat, then I do not live.

(3) I live if and only if I eat.

(4) If I do not live, then I do not eat.

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**3** If *a* is an odd number, *b* an even number, and *c* an odd number, which
expression will always be equivalent to an odd number?

(1 *a*(*bc*) (3) *ac*(*b*)^{1}

(2) *ac*(*b*)^{0 }(4) *ac*(*b*)^{2}

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**
4 **If there are four teams in a league, how many games will have to be
played so that each team plays every other team once?

(1) 6 (3) 3

(2) 8 (4) 16

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**5 **A woman has a ladder that is 13 feet long. If she sets the base of the
ladder on level ground 5 feet from the side of a house, how many feet
above the ground will the top of the ladder be when it rests against the
house?

(1) 8 (3) 11

(2) 9 (4) 12

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