Challenge Questions 1. A scientific expedition sets out from base camp and trave

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Challenge Questions 1. A scientific expedition sets out from base camp and travels 50mi north and then 20mi west. There they took some pictures and traveled back to base camp by going 50mi due south. What did they photograph? A room has 1 million light bulbs that are all off. The first person comes in and flips every switch, 2. s them all on. The second person flips every second switch, turning every second light off. The third person flips every third switch, the fourth person every fourth switch, and so on for 1 million people. How many lights are on, and which ones are they? 3. A circle of radius 3in rolls around a circle of radius 12in. How many times does the smaller circie 4. A person went to see the great pyramids with his grandfather in 2010. He went to see the 5. A man must take two different pills, type A and type B, each day to survive. If he takes more turn before making it all the way around the larger circle? pyramids again with his grandchildren in 1945. How is this possible? than one type B pill a day, he will die. The type B pills do not work unless a type A pill is taken too. The man gets one pill of type A in his hand and goes to get a pill of type B, but two pills come out. The pills of type A and type B are identical in appearance and weight, and the man lost track of which pill was which when he poured out the type B pills. He cannot spare to lose any pills. What should he do? A metal dealer tells you that he has 200 gold bars, but one is filled with platinum, making it much more expensive and slightly lighter than the others. He will allow you to use a balanced scale 5 times to try to figure out which bar has the platinum in it. If you find it, you can keep it f you do not, he gets your next 5 paychecks. When weighing the bars, he will put them on the scale, so you will not be able to touch them. How do you find the gold bar with the platinum? 6.

Explanation / Answer

note these are all independent probems & as per chegg norms I can answer only one question.

Ans4:- we know area of circle is given by ?r^2

area of smaller circle is a1=?(3)^2

area of larger circle is a2=?(12)^2

numbers of rolls required=a2/a1=12^2/3^2=144/9=16

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