if 97*542 replace *by a digit so that the number is divisible by 6
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replaced by 3
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97 × 542
It is divisible by 6
It is divisible by 2 and 3
Since its unit digit is 2
∴ It is divisible by 2.
It is divisible by 3
Since, its sum of its digits 9 + 7 + 5 + 4 + 2 = 27 [which is divisible by 3]
27 + ‘*’ = 27, or 30, 33, 36
∴ The ‘*’ place can be replaced by 0 or 3 or 6 or 9.
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