**1** The roots of the equation *x*^{2} - 3*x* - 2 = 0 are

(1) real, rational, and equal

(2) real, rational, and unequal

(3) real, irrational, and unequal

(4) imaginary

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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 m*BC* = 140, what is m<B?

(1) 40 (3) 140

(2) 80 (4) 280

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**3** At Mogul’s Ski Resort, the beginner’s slope is inclined at an angle of
12.3^{o} while the advanced slope is inclined at an angle of 26.4^{o} If Rudy
skis 1,000 meters down the advanced slope while Valerie skis the same
distance on the beginner’s 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) 50*a *(3) 10 + 2*a*

(2) 2*a* + 1 (4) 25*a*

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