Question

Find the greatest number of 4 digits which when divided by 12, 18, 24 leaves remainder 6 in each case

Answer 1

the greatest 4 digit number is 9999

find lcm of 12, 18 and 24

lcm (12,18,24)=72

9999/72=138, remainder will be 63

the required number is (9999-63)+6= 9942

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