Question

25. A certain card game has a special pack. If you
deal out equally to five players there are two cards left undealt. The same is true if you deal to sevenplayers. If the cards are dealt to three players there is one left undealt. number of cards that cannot be there in the pack​

Answer 1

Given : A certain card game has a special pack.

deal out equally to five players there are two cards left undealt.

The same is true if you deal to seven players. If the cards are dealt to three players there is one left undealt.

To Find : number of cards

Solution:

5A  + 2     = cards

7B  + 2    = cards

=> 35K + 2  = cards

3C  + 1   = Cards

35K + 2   =    3C  + 1  

=> 35k +  1  = 3C

=> 2k + 1 + 33k  = 3C

=> 2k + 1  = 3(C - 11k)

=> k = 1   ,   4 ,   7  and so on

Hence 37 can be the cards

142 .

247   and so on can be cards

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