Find the least number which when divided by 12, 15, 18 and 30 leaves the remainder 6, 9, 12 and 24 respectively.
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The LCM of 12 , 15,18 and 30=180. We want the answer 6,9,12 and 24. Now the difference is 6 in each case 12-6=6, 15-6=9,18-6=12 and 30-6=24 . So, (180-6=174) will have remainder of 6,9,12,24 when divided by 12,15,18 and 30 respectively
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