4) Arrange the digits 1,2,3,4,5 and 6 to form a number that is divisible by 6 and satisfies the following conditions: When the last digit is removed, it becomes a five-digit number which is divisible by 5 When the last digit is removed, it becomes a four-digit number which is divisible by 4 When the last digit is removed again, it becomes a three-digit number divisible by 3 When the last digit is removed again, it becomes a two-digit number divisible by 2. Finally, when the last digit is removed, it is a one-digit number divisible by 1. What is the number? Explain your strategy in solving this problem.
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Answer:
disabled by4 3 when the last digit
4) Arrange the digits 1,2,3,4,5 and 6 to form a number that is divisible by 6 and satisfies the following conditions: When the last digit is removed, it becomes a five-digit number which is divisible by 5 When the last digit is removed, it becomes a four-digit number which is divisible by 4 When the last digit is removed again, it becomes a three-digit number divisible by 3 When the last digit is removed again, it becomes a two-digit number divisible by 2. Finally, when the last digit is removed, it is a one-digit number divisible by 1. What is the number? Explain your strategy in solving this problem.
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