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Q2: The fuction f is defined for each positive three-digit integer n by f(n)=(2^x)(3^y)(5^z), where x, y, z are the hundreds, tens, units digits of n, respectively. If m and v are three-digit posotive integers such that f(m)=9f(v), then m-v=? A.8 B.9 C.18 D.20 E.80
Q25: For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6-n points whenever one of its members finished in nth place, where 1≤n≤5. There were no ties, disqualifications, or withdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned? A.0 B.1 C.2 D.3 E.4
Q31: There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possile? A.20 B.25 C.40 D.60 E.125 |
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