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# What is the hundreds digit of integer n?

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Re: What is the hundreds digit of integer n? [#permalink]
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amathews
What is the hundreds digit of integer n?

1) The tens digit of n/10 is 4
2) The thousands digit of 10n is 4

Target question: What is the hundreds digit of integer n?

Statement 1: The tens digit of n/10 is 4
Key concept: When a number is divided by 10, the hundreds digit of the original number becomes the tens digit of the new number.
Example: When we divide 5432 by 10, the resulting number is 543.2.
So, if the tens digit of n/10 is 4, then 4 is the hundreds digit of n
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The thousands digit of 10n is 4
Key concept: When a number is multiplied by 10, the hundreds digit of the original number becomes the thousands digit of the new number.
Example: When we multiply 5432 by 10, the resulting number is 54320.
So, if the thousands digit of 10n is 4, then 4 is the hundreds digit of n
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
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Re: What is the hundreds digit of integer n? [#permalink]
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Re: What is the hundreds digit of integer n? [#permalink]
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