1. The New York City subway system buys wheels for the subway cars for 200 dollars per wheel. The wheels last for eight years and then they have a scrap value of 25 dollars apiece. If rust-proofing treatment costing 60 dollars a wheel is applied, each wheel will last twelve years but will have no scrap value. In the long run, would it be more cost effective to rust-proof the wheels or not?
a) No b) Yes c) Cost the same d) Impossible to tell
2. When Al and George ran a 100-meter race, Al won by five meters. So to give George a chance they raced again, but this time Al started five meters behind the starting line. Each man ran the race at the same speed as in the first race. What were the results of the second race?
a) Al won b) George won c) It was a tie
3. A contractor estimated that one of his two bricklayers would take 9 hours to build a certain wall and the other 10 hours. When the two bricklayers worked together, however, 10 fewer bricks got laid per hour. With both men working on the job it took exactly 5 hours to build the wall. How many bricks did it contain?
a) 680 b) 860 c) 900 d) 1024 e) None of the above
4. You have a can with four balls of different colors. Randomly you draw two at a time, then paint the first ball to match the second. What is the expected number of drawings before all balls are the same color?
a) 6 b) 7 c) 8 d) 9 e) None of the above
5. Chris loves the girl who is in love with Don. Jim loves the girl who loves the man who loves Gillian. Tom loves the girl who loves the man who loves Justine. Kim does not love Tom. Alice loves a man who does not love Kim. Who loves Justine?
a) Chris b) Don c) Jim d) Tom e) None of the above
6. After graduating from college, Nathan went to work for a financial firm and Eric went to work for a law firm, both earning the same amount. Last year Nathan had a raise of ten percent and Eric had a drop in pay of ten percent. This year Nathan had a ten percent drop in pay and Eric had the ten percent raise. Who is making more now?
a) Nathan b) Eric c) They are both making the same d) Impossible to tell
7. Both Aaron and Alexander hit their target fifty percent of the time. They decide to fight a duel in which they exchange alternate shots until one is hit. What are the odds of the man who shoots first?
a) 1/2 b) 3/8 c) 2/3 d) 5/8 e) None of the above
8. Five suspects were rounded up in connection with a robbery. Their statements were as follows:
Alex: "Chris and Dave are lying."
Brad: "Alex and Eric are lying."
Chris: "Brad and Dave are lying."
Dave: "Chris and Eric are lying."
Eric: "Alex and Brad are lying."
Who is the only suspect we know with certainty to be lying?
a) Alex b) Brad c) Chris d) Dave e) Eric
9. If Eric is as old as Nathan will be when Alison is as old as Eric is now, who is the oldest?
a) Eric b) Nathan c) Alison
10. In a certain community there are 1000 married couples. Two-thirds of the husbands who are taller than their wives are also heavier, and three-quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?
a) 340 b) 480 c) 240 d) 120 e) None of the above
11. A woman spent one-sixth of her life in childhood, one-twelfth in youth, and one-seventh as a single woman. Five years after she got married, a son was born who died four years before his mother at half his mothers final age. What was the woman's final age?
12. A cereal company is offering a poster of Britney Spears to anyone who sends in enough box tops. Gillian and Tess each want a poster; but Tess needs seven more box tops and Gillian needs one more. They thought of combining their box tops to get one poster, but they still don't have enough. How many box tops are needed for one poster?
13. Nathan went shopping. At a shoe store he spent half of what he had plus six dollars for a pair of sneakers. At a clothing store he spent half of what was left plus four dollars for a sweater. At the bookstore he spent half of what remained plus two dollars for a calculator. He had seven dollars left over. How much did he have originally?
a) 50 dollars b) 80 dollars c) 110 dollars d) 135 dollars e) None of the above
14. There are nine jars, each containing a different type of liquid, but the labels have all fallen off. Knowing nothing about the contents, a passerby reapplies the labels at random. What is the expected number of correctly labeled jars?
a) 1 b) 2 c) 3 d) 4 e) 5 6) None of the above
15. At hardware store you can buy bolts in boxes of 6, 9, and 20. What is the largest number such that you can not order any combination of the above to achieve exactly the number you want?
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