Question 84

What is the largest four digit number that leaves a remainder 4 when it is divided by 36, 48 and 64?

Solution

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No = LCM (36, 48, 64)k + 4

= 576k + 4

= 576) 9999 ( 17

            576

           4239

           4032

            207            

9999 - 207 + 4

9999 - 203

= 9796

Hence the answer is option C

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