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planet fourfi resides in 4 dimensional space & thus the currency used by its residents are 3 dimensional objects. The rupee are cubical in shape while their coins are spherical, however the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 64mm & not exceed 512 mm.
Given a coin,the diameter of the next larger coin is at least 50% greater then the diameter of the previous coin. All the diameters must always be an integer. You are asked to design a set of coins of different diameters with these requirements & your goal is to design as many as coin as possible.how many coins can you design?
a)9 b)5 c)6 d)8
please explain
Read Solution (Total 4)
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- First we design 64mm coin. Then 50% of 64 is 32. 50% greater than 64 means 64+32=96. Similarly 50% greater than 96 is 144 and so on we get the sequence 64,96,144,216,324,486.(Should be less than 512mm)so Total of 6 coins. So c is the ans.
- 14 years agoHelpfull: Yes(27) No(0)
- C) 6
- 14 years agoHelpfull: Yes(8) No(1)
- 64+96+144+216+324+486(MUST BE LESS THAN 512)=6
- 14 years agoHelpfull: Yes(3) No(0)
- b)5
- 14 years agoHelpfull: Yes(0) No(10)
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