1 The roots of the equation x2 - 3x - 2 = 0 are

(1) real, rational, and equal
(2) real, rational, and unequal
(3) real, irrational, and unequal
(4) imaginary

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2 The new corporate logo created by the design engineers at Magic Motors is shown in the accompanying diagram.
 

If chords BA and BC are congruent and mBC = 140, what is m<B?

(1) 40         (3) 140
(2) 80         (4) 280

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3 At Mogulís Ski Resort, the beginnerís slope is inclined at an angle of 12.3o while the advanced slope is inclined at an angle of 26.4o If Rudy skis 1,000 meters down the advanced slope while Valerie skis the same distance on the beginnerís slope, how much longer was the horizontal distance that Valerie covered?

(1) 81.3 m           (3) 895.7 m
(2) 231.6 m         (4) 977.0 m

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4 A regular hexagon is inscribed in a circle. What is the ratio of the length of a side of the hexagon to the minor arc that it intercepts?

(1) π/6           (3) 3/π
(2) 3/6           (4) 6/π

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5 If log 5 = a, then log 250 can be expressed as

(1) 50a          (3) 10 + 2a
(2) 2a + 1       (4) 25a
 

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