Guest Guest Posted July 3, 2013 Share Posted July 3, 2013 What is the least number which, when divided by 52, leaves 33 as the remainder, and when divided by 78 leaves 59, and when divided by 117 leaves 98 as the respective remainder ? Quote Link to comment Share on other sites More sharing options...
Guest rak123 Posted July 4, 2013 Share Posted July 4, 2013 Number has to be of the form: 52x + 33 & 117y + 98 or 78x+59 & 117y + 98 Following any of the two conditions, a number which satisfies both condition can be found. All we need to do then is to check whether it satisfies the third condition too. Quote Link to comment Share on other sites More sharing options...
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