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![[Post New]](/templates/default/images/icon_minipost_new.gif) 9 Mar 2008 12:29:16 IST
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The three most recent appearences of halley's Comet were in the years 1835,1910 and 1986; the next occurence will be in 2061
Prove that
18351910+19862061 is divisible by 7 ???
No idea how they r related...
plz help if u have ne clue
might be out of JEE syllabus
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" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
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9 Mar 2008 12:47:59 IST
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might involve fermat's theorem...
plz dont mind ppl if its not in JEE syllabus..
but i thought it was worth putting up!
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" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
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9 Mar 2008 14:11:33 IST
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1835 = 7x262 + 1
1986= 7 x 284 - 2
Expand using binomial theorem , the remainder will be same as
1 1910 + ( -2 ) 2061
= 1 + ( -8 ) 687
= 1 + (- 7 -1) 687
= 1 - 1 = 0
so the remainder when divided by 7 is 0.
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