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Question
Find the greatest six digit number which, when divided by 6, 7, 8, 9 and 10, gives 4, 5, 6, 7 and 8 respectively as remainders.
Find the greatest six digit number which, when divided by 6, 7, 8, 9 and 10, gives 4, 5, 6, 7 and 8 respectively as remainders.
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Solution
The correct option is C 997918
The LCM of (6, 7, 8, 9, 10) = 2520
Dividing 999999 by 2520, we get 2079 as remainder.
(The common difference for remainders is 2; 6 - 4 = 7 - 5 etc)
Therefore the required number is 999999 - 2079 - 2 = 997918
The LCM of (6, 7, 8, 9, 10) = 2520
Dividing 999999 by 2520, we get 2079 as remainder.
(The common difference for remainders is 2; 6 - 4 = 7 - 5 etc)
Therefore the required number is 999999 - 2079 - 2 = 997918
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