Challenging qs

A band of 13 pirates obtained a certain number of gold coins. They tried to distribute them equitably but found that they had 8 coins left over. Two pirates drowned. The remaining 11 tried to distribute the coins equitably among themselves, but found that they had 3 left over. Then three more pirates fell overboard and were eaten by sharks; but there were 5 coins left over when the surviving 8 attempted yet another equitable distribution. Given that there were between 1000 and 2000 coins, how many coins were there?

Submitted by t.anand on Fri, 2007-11-30 17:53.

nishit's picture

nishit points: 377
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The answer is
88 x 6 + 104 x 5 + 143 x 3
= 528 + 520 + 429
= 1477

1477 divided by13 gives reminder 8
1477 divided by11 gives reminder 3
1477 divided by 8 gives reminder 5

paridhi ajmera's picture

paridhi ajmera points: 62
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can anyone its solution in detail as it is not clear to me......................

arnab85's picture

arnab85 points: 36
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even i don't get it wat nishit has done..lol.but these questions can b done more easily by just looking at the options and then dividing it by 13,11 and 8 to see if we get the remainders as 8,3 and 5 respectively.as we can see 1477 will satisfy it.