Suppose the bucket holds somewhere between 150 and 200 litres of water.
If we fill as many 6-litres containers as we can from this bucket, we will be left with a litres of water. If we fill as many 9-litres containers as we can from this bucket, we will again be left with a litres of water. If we fill as many 12-litres containers as we can from this bucket, we will once again be left with a litres of water.
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Step-by-step explanation:
If we fill with 6 litres, 1 litre is left means
dividing by 6 leaves a remainder 1
similarly,
dividing by 9 leaves remainder 1
dividing by 12 leaves a remainder 1
lcm of 6,9,12 = 36
multiples of 36= 36,72,108,144,180,216,____
since it's between 150 and 200 ,it should be 180 and 1 liter is left every time so it is 180+1=181 litres
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