What is the hundreds digit of integer n?

[BTGmoderatorDC]

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


OA D

Source: GMAT Prep

[swerve]

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


OA D

Source: GMAT Prep

1) The tens digit of n/10 is 4. Implies the hundreds digit of n is 4. \(\Large{\color{green}\checkmark}\)

2) The thousands digit of 10n is 4. Implies the Hundreds digit of n is 4. \(\Large{\color{green}\checkmark}\)

Therefore, D

[Brent@GMATPrepNow]

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

Answer: D

Cheers,
Brent