Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep Flash Sale
Target Test Prep is 20% off right now!
Use code FLASH20

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

Arithmetic

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 31
Joined: Fri Apr 10, 2015 4:04 am

Arithmetic

by tapanmittal » Fri Jun 19, 2015 10:40 pm
What is the hundreths digit of the decimal m?
(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.

OA is B.
I am unable to understand the question.
Top
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Fri Jun 19, 2015 10:13 pm

by mclark30 » Fri Jun 19, 2015 10:55 pm
Hi tapanmittal,

1000m will look like this;

5 _ . _ _ (the blank spaces represent digits that we don't know)

If we then divide by 1000, we'll get m;

_ _ . _ 5 (decimal moves 3 places to the left)

Therefore the hundredths digit of m is 5.
Top
Master | Next Rank: 500 Posts
Posts: 363
Joined: Sun Oct 17, 2010 3:24 pm
Thanked: 115 times
Followed by:3 members

by theCEO » Fri Jun 19, 2015 11:13 pm
tapanmittal wrote:What is the hundreths digit of the decimal m?
(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.

OA is B.
I am unable to understand the question.
Lets say m = 0.1234
the hundreths digit of m = 2

1)
100 x 0.1234 = 12.34
The tenth digit = 3 and is not equal to the hundreths digit of m which is 2

2)
1000 x 0.1234 = 123.4
The tens digit = 2 which is equal to the hundreths digit of m which is 2
Therefore statement is sufficient
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Sat Jun 20, 2015 2:19 am
tapanmittal wrote:What is the hundreths digit of the decimal m?
(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.
Statement 1: The tenths digit of 100m is 5.
Case 1: 100m = 0.5
Here, m = 0.005.
In this case, the hundredth digit of m is 0.

Case 2: 100m = 1.5
Here, m = 0.015.
In this case, the hundredth digit of m is 1.

Since the hundredth digit can be different values, INSUFFICIENT.

Statement 2: The tens digit of 1,000m is 5.
Case 3: 1000m = 50
Here, m = 0.05.
In this case, the hundredth digit of m is 5.

Case 4: 1000m = 152
Here, m = 0.152.
In this case, the hundredth digit of m is 5.

As Cases 3 and 4 illustrate, Statement 2 implies that the hundredth digit of m will always be 5.
SUFFICIENT.

The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top

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

by Brent@GMATPrepNow » Sat Jun 20, 2015 8:57 am
Here are a few similar questions to practice with:
- https://www.beatthegmat.com/hundredth-digit-t280191.html
- https://www.beatthegmat.com/digit-ds-que ... 80317.html
- https://www.beatthegmat.com/decimal-ques ... 37999.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1