BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

digit value question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 112
Joined: Thu Mar 22, 2012 9:33 am
Thanked: 1 times
Followed by:1 members

digit value question

by rommysingh » Wed Aug 05, 2015 3:49 pm
What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5

*what should I be looking at "tenth digit before decimal or after.." this is very confusing..
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 2135
Joined: Mon Feb 03, 2014 9:26 am
Location: https://martymurraycoaching.com/
Thanked: 955 times
Followed by:140 members
GMAT Score:800

by MartyMurray » Wed Aug 05, 2015 6:01 pm
rommysingh wrote:what should I be looking at "tenth digit before decimal or after.." this is very confusing..
Rommy, to the left of the decimal is the ones and then the tens digit. To the right of the decimal is the tenths digit.

A tenth or 1/10 is a fractional amount that can be expressed as .1.
Marty Murray
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 410
Joined: Fri Mar 13, 2015 3:36 am
Location: Worldwide
Thanked: 120 times
Followed by:8 members
GMAT Score:770

by OptimusPrep » Wed Aug 05, 2015 8:14 pm
rommysingh wrote:What is the value of the tenths digit of number x?

(1) The hundredths digit of x is 5
(2) Number x, rounded to the nearest tenth, is 54.5

*what should I be looking at "tenth digit before decimal or after.." this is very confusing..
Teth digit is basically 1/10, so that will make it the first digit after the decimal.
Tens digit will be the 2nd digit before the decimal

142.85
Here 4 is the tens digit and 8 is the tenth digit.
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Wed Aug 05, 2015 9:52 pm
Hi rommysingh,

In this prompt, we're asked for the TENTHS digit of X? This question asks for the digit that is to the IMMEDIATE RIGHT of the decimal point.

Fact 1: The hundredths digit of X is 5

This tells us NOTHING about the tenths digit - that digit could be any integer from 0 to 9, inclusive.

eg.
X = _.05
X = _.15
X = _.25
...
X = _.95
Fact 1 is INSUFFICIENT

Fact 2: Number X, rounded to the nearest tenth, is 54.5

This Fact discusses ROUNDING. If the hundredths digit is 0-4, then we 'round down'; if the hundredths digit is 5-9, then we 'round up.'

eg.
IF.....
X = 54.49, then we would 'round up' to 54.5

X = 54.53, then we would 'round down' to 54.5

Thus, the tenths digit could be 4 or 5.
Fact 2 is INSUFFICIENT

Combined, we know...
The hundredths digit of X is 5
Number X, rounded to the nearest tenth, is 54.5

Since the hundredths digit is 5, that means that we would have to round UP to get to 54.5. Thus, X could only be 54.45
Combined, SUFFICIENT

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
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 » Thu Aug 06, 2015 5:47 am
Here are some similar questions to practice with:

https://www.beatthegmat.com/decimal-ques ... 37999.html
https://www.beatthegmat.com/1-4ab5-t279914.html
https://www.beatthegmat.com/decimals-t284094.html
https://www.beatthegmat.com/need-an-expl ... 78211.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
User avatar
MBA Admissions Consultant
Posts: 2279
Joined: Fri Nov 11, 2011 7:51 am
Location: New York
Thanked: 660 times
Followed by:266 members
GMAT Score:770

by Jim@StratusPrep » Thu Aug 06, 2015 12:12 pm
Just to specifically answer your question. Any digit that ends in 'th' is speaking of values to the right of the decimal.
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review

Image
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 112
Joined: Thu Mar 22, 2012 9:33 am
Thanked: 1 times
Followed by:1 members

by rommysingh » Thu Aug 06, 2015 5:42 pm
Thank you everybody, you all make GMAT math so simple! :)
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 112
Joined: Thu Mar 22, 2012 9:33 am
Thanked: 1 times
Followed by:1 members

by rommysingh » Thu Aug 06, 2015 5:55 pm
Awesome! this gets my doubts not only cleared but makes my conversion point of view more stronger! :)
Top
Legendary Member
Posts: 518
Joined: Tue May 12, 2015 8:25 pm
Thanked: 10 times

by nikhilgmat31 » Tue Aug 11, 2015 9:39 pm
[email protected] wrote:Hi rommysingh,

In this prompt, we're asked for the TENTHS digit of X? This question asks for the digit that is to the IMMEDIATE RIGHT of the decimal point.

Fact 1: The hundredths digit of X is 5

This tells us NOTHING about the tenths digit - that digit could be any integer from 0 to 9, inclusive.

eg.
X = _.05
X = _.15
X = _.25
...
X = _.95
Fact 1 is INSUFFICIENT

Fact 2: Number X, rounded to the nearest tenth, is 54.5

This Fact discusses ROUNDING. If the hundredths digit is 0-4, then we 'round down'; if the hundredths digit is 5-9, then we 'round up.'

eg.
IF.....
X = 54.49, then we would 'round up' to 54.5

X = 54.53, then we would 'round down' to 54.5

Thus, the tenths digit could be 4 or 5.
Fact 2 is INSUFFICIENT

Combined, we know...
The hundredths digit of X is 5
Number X, rounded to the nearest tenth, is 54.5

Since the hundredths digit is 5, that means that we would have to round UP to get to 54.5. Thus, X could only be 54.45
Combined, SUFFICIENT

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Hi Rich

in combining both the statements,

Why the number can't be 54.55 since rounding it to tenth digit will give 54.5

I think answer should be E
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 » Wed Aug 12, 2015 2:33 am
nikhilgmat31 wrote:Why the number can't be 54.55 since rounding it to tenth digit will give 54.5
Any value of x such that 0.45 ≤ x < 0.55 is rounded to 0.5.
Any value of x such that 0.55 ≤ x < 0.65 is rounded to 0.6.
Any value of x such that 0.65 ≤ x < 0.75 is rounded to 0.7.
Any value of x such that 0.75 ≤ x < 0.85 is rounded to 0.8.

54.55 is governed by the option in red.
Rounded to the nearest tenth, 54.55 --> 54.6.
Thus, 54.55 does not satisfy statement 2.

More practice with rounding:
https://www.beatthegmat.com/rounding-num ... 68230.html
https://www.beatthegmat.com/decimals-t267013.html
https://www.beatthegmat.com/all-my-probl ... 81383.html
https://www.beatthegmat.com/rounding-nee ... 57876.html
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
Post new topic Post Reply
• Page 1 of 1