1> If n is a multiple of 5 and n = p^2q, where p and q are prime numbers, which of the following must be a multiple of 25

A p^2

B q^2

C pq

D p^3q

E p^2q^2

2> Alice’s take-home pay last year was the same each month, and she saved the same fraction of their take-home pay each month. The total amount of money that she has saved at the end of the year was threetimes the amount of that portion of her montly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

A 1/2 B 1/3 C 1/4 D 1/5 E 1/6

3> The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 100%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?

A 100% decrease

B 50% decrease

C 40% decrease

D 40% increase

E 50% increase

4> On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?

A 0.027

B 0.090

C 0.417

D 0.657

E 0.900

5> An certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?

A 6 B 8 C16 D 24 E 32

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