What is the hundreds digit of integer n?

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 2226
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: What is the hundreds digit of integer n?

by swerve » Fri Apr 23, 2021 11:39 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote:
Wed Apr 21, 2021 3:31 pm
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

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote:
Wed Apr 21, 2021 3:31 pm
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
Brent Hanneson - Creator of GMATPrepNow.com
Image