1. A creeper plant is climbing up and around a cylindrical tree trunk in a helical manner. The tree trunk has a height of 480 inches and a circumference of 32 inches. If the creeper covers a vertical distance of 60 inches in one complete twist around the tree trunk, what is the total length of the creeper?

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2. A set of football matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once. If 105 matches are totally played, how many teams participated?
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3. A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 1 hours to fill the tank with the large inlet pipe. On the other hand, it takes 5 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 6 hours. What fraction of the tank (initially empty) will be filled in 0.97 hours if all three pipes are in operation?

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4. Bodo weighs 140 pounds more than his sister, Michelle. Their combined weight is 160 pounds. How many pounds does Bodo weigh?

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5. Consider 16 lines drawn at a tangent to an ellipse. The lines break up the plane into several regions, some bounded (i.e., enclosed) and others unbounded. How many unbounded regions are there?

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6. A painting job can be completed by 8 painters in 30 days. If 16 more painters join the team 9 days after starting work on the job, then how many more days are required to complete the job?

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7. Teacher: You appeared for 6 quizzes, and your average marks in them were 81. Student: How did I fare in English? Teacher: Well, your average in English Language and English Literature is 69. Student: So, how was my performance in the remaining subjects? Teacher: I am sure you can figure that out for yourself. Can you help the student find his average marks in the remaining subjects?

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8. A snail creeps 6 ft up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 4 ft while sleeping.

If this happens every day, how many days will the snail take to reach the top of a wall 18 ft in height?

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