What is the tenth digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
DS_Arithmetic
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 44
- Joined: Thu Jan 03, 2013 10:30 pm
- Thanked: 4 times
GMAT/MBA Expert
- Anju@Gurome
- GMAT Instructor
- Posts: 511
- Joined: Wed Aug 11, 2010 9:47 am
- Location: Delhi, India
- Thanked: 344 times
- Followed by:86 members
Clearly none of the statements are individually sufficient.paresh_patil wrote:What is the tenth digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
1 & 2 Together: The number is less than 1/3 = 0.33... but greater than 1/4 = 0.25
Consider the following two cases..
- The number = 0.29 ---> Tenth's digit = 2
The number = 0.30 ---> Tenth's digit = 3
The correct answer is E.
Anju Agarwal
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
- GMATGuruNY
- 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
Statement 1: The number is less than .33333333...paresh_patil wrote:What is the tenth digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
Statement 2: The number is greater than .25.
x=.26 satisfies both statements, in which case the tenths digit is 2.
x=.31 satisfies both statements, in which case the tenths digit is 3.
Thus, the two statements combined are INSUFFICIENT.
The correct answer is E.
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
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
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
paresh_patil wrote:What is the tenth digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
We need to determine the value of the tenths place of a particular number.
Statement One Alone:
The number is less than 1/3.
Since the number is less than 1/3, it is less than 0.333.... Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.2 (with a tenths place of 2). Statement one is not sufficient to answer the question.
Statement Two Alone:
The number is greater than 1/4.
Since the number is greater than 1/4, it is greater than 0.25. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.4 (with a tenths place of 4). Statement two does not provide enough information to answer the question.
Statements One and Two Together:
From statements one and two we know that the decimal value is between 0.25 and 0.333.... We could still have decimals values with different tenths places, such as 0.28 or 0.3.
Answer: E
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
- Brent@GMATPrepNow
- 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
Target question: What is the tenth digit in the decimal representation of a certain number?paresh_patil wrote:What is the tenths digit in the decimal representation of a certain number?
(1) The number is less than 1/3
(2) The number is greater than 1/4
Jump straight to.....
Statements 1 and 2 combined
Statement 1 tells us that the number is less than 1/3 (aka 0.333333....)
Statement 2 tells us that the number is greater than 1/4 (aka 0.25)
There are several values that satisfy BOTH statements. Here are two:
Case a: The number is 0.28. In this case, the answer to the target question is the tenths digit is 2
Case b: The number is 0.31. In this case, the answer to the target question is the tenths digit is 3
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent