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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