Find all School-related info fast with the new School-Specific MBA Forum

It is currently 25 Aug 2016, 10:06
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If t denotes the thousandths digit in the decimal

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34438
Followers: 6257

Kudos [?]: 79464 [0], given: 10018

If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 03 Sep 2012, 06:04
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (01:52) correct 19% (00:51) wrong based on 759 sessions

HideShow timer Statistics

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44.
(2) If d were rounded to the nearest thousandth, the result would be 0.436.

Practice Questions
Question: 31
Page: 277
Difficulty: 600
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34438
Followers: 6257

Kudos [?]: 79464 [0], given: 10018

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 03 Sep 2012, 06:04
Expert's post
5
This post was
BOOKMARKED
SOLUTION

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

BACK TO THE ORIGINAL QUESTION:

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?


(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that \(t\geq{5}\). Not sufficient.

(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then \(t\) was rounded up to become 6, hence \(t=5\). Sufficient.

Answer: B.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Intern
Intern
avatar
Joined: 28 Aug 2012
Posts: 46
Location: Austria
GMAT 1: 770 Q51 V42
Followers: 3

Kudos [?]: 41 [1] , given: 3

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 03 Sep 2012, 06:27
1
This post received
KUDOS
Statement (1): d is rounded up. So the thousandth digit can take the values 5, 6, 7, 8, 9. --> not sufficient
Statement (2): d is again rounded up, because the tenthousandths digit is 7. Therefore, the thousands digit is 5. --> sufficient

Answer B, Statement (2) is sufficient, Statement (1) is not sufficient.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34438
Followers: 6257

Kudos [?]: 79464 [0], given: 10018

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 07 Sep 2012, 05:29
SOLUTION

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

BACK TO THE ORIGINAL QUESTION:

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?


(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that \(t\geq{5}\). Not sufficient.

(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then \(t\) was rounded up to become 6, hence \(t=5\). Sufficient.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11057
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 23 Oct 2014, 06:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 27 Nov 2014
Posts: 4
Followers: 0

Kudos [?]: 4 [0], given: 0

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 26 Dec 2014, 09:22
Not sure if B is correct.

In GMAT can we assume that rounding means rounding up if >=0.5 and rounding down if <0.5? Could also be always rounding up or down (no matter what digit)
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34438
Followers: 6257

Kudos [?]: 79464 [1] , given: 10018

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 26 Dec 2014, 09:25
1
This post received
KUDOS
Expert's post
noshtafoyza wrote:
Not sure if B is correct.

In GMAT can we assume that rounding means rounding up if >=0.5 and rounding down if <0.5? Could also be always rounding up or down (no matter what digit)


This is a question from Official Guide and the Official Answer is B. Rounding rules are given in the second post: if-t-denotes-the-thousandths-digit-in-the-decimal-138297.html#p1119527

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
avatar
Joined: 23 Nov 2014
Posts: 60
Location: India
GMAT 1: 730 Q49 V40
GPA: 3.14
WE: Sales (Consumer Products)
Followers: 1

Kudos [?]: 25 [0], given: 64

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 19 May 2015, 15:19
Bunuel wrote:
SOLUTION

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

BACK TO THE ORIGINAL QUESTION:

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?


(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that \(t\geq{5}\). Not sufficient.

(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then \(t\) was rounded up to become 6, hence \(t=5\). Sufficient.

Answer: B.


If t = 4 -> d = 0.4347 = 0.435 = 0.44
=> t >= 4 not t >= 5

Am I right?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34438
Followers: 6257

Kudos [?]: 79464 [0], given: 10018

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 20 May 2015, 02:41
avgroh wrote:
Bunuel wrote:
SOLUTION

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

BACK TO THE ORIGINAL QUESTION:

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?


(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that \(t\geq{5}\). Not sufficient.

(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then \(t\) was rounded up to become 6, hence \(t=5\). Sufficient.

Answer: B.


If t = 4 -> d = 0.4347 = 0.435 = 0.44
=> t >= 4 not t >= 5

Am I right?


No.

When rounding to the tenth you look at only the hundredth digit, when rounding to the hundredth you look at only the thousandth digit, etc. Please re-read rounding rules given above.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
Joined: 04 Jan 2015
Posts: 340
Followers: 102

Kudos [?]: 804 [1] , given: 84

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 20 May 2015, 03:04
1
This post received
KUDOS
Expert's post
avgroh wrote:
Bunuel wrote:
SOLUTION

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, ROUND UP the last digit that you keep. If the first dropped digit is 4 or smaller, ROUND DOWN (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

For more check Number Theory chapter of Math Book: math-number-theory-88376.html

BACK TO THE ORIGINAL QUESTION:

d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?


(1) If d were rounded to the nearest hundredth, the result would be 0.44. Just says that \(t\geq{5}\). Not sufficient.

(2) If d were rounded to the nearest thousandth, the result would be 0.436. Since 7 is more than 5, then \(t\) was rounded up to become 6, hence \(t=5\). Sufficient.

Answer: B.


If t = 4 -> d = 0.4347 = 0.435 = 0.44
=> t >= 4 not t >= 5

Am I right?


Hi avgroh,

St-I talks about rounding off to the nearest hundredth. Since the number is 0.43t7 and 3 is at the hundredths place, for rounding off to the nearest hundredth we will only consider the value of the digit next to it. As 0.43t7 has been rounded off to 0.44 that would mean t =>5.

Rounding off from the right most digit is not the right way to go about rounding off process. Think of it this way: Consider the number 1.448 which is to be rounded off to the nearest tenths. If you start from the right most digit you would round off it as 1.448 -> 1.45 -> 1.5.
But 1.448 is nearer to 1.4 than to 1.5, right? Hence the only thing that should matter is the next digit to which a number is to be rounded off. Hence for the number 1.448, to round it off to the nearest tenths, the digit next to tenths place i.e. 4 should matter and it should be rounded off to 1.4.

Hope it's clear :)

Regards
Harsh
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11057
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 02 Aug 2016, 04:12
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
User avatar
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 190
Followers: 8

Kudos [?]: 38 [0], given: 2

Re: If t denotes the thousandths digit in the decimal [#permalink]

Show Tags

New post 09 Aug 2016, 13:41
Quote:
d = 0.43t7
If t denotes the thousandths digit in the decimal representation of d above, what digit is t?

(1) If d were rounded to the nearest hundredth, the result would be 0.44.
(2) If d were rounded to the nearest thousandth, the result would be 0.436.


We are given that t denotes the thousandths digit of 0.43t7. We need to determine the value of t.

Statement One Alone:

If d were rounded to the nearest hundredth, the result would be 0.44.

Using the information in statement one, t could be different values. For example, t could be 5 (so that d would be 0.4357) or t could be 6 (so that d would be 0.4367). Similarly, t could also be 7, 8, or 9. Notice in any of these cases, d rounds up to 0.44.

Thus, statement one is not enough information to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

If d were rounded to the nearest thousandth, the result would be 0.436.

Using the information from statement two, d must be 0.4357. Because of the “7” in the ten-thousandths digit, we see that 0.43t7 will only round up to 0.436. Thus, t can only be the value 5. Any other value of t will not round d to 0.436 when rounded to the nearest thousandth. Statement two is sufficient to answer the question.

The answer is B.
_________________

Image
Jeffrey Miller
Jeffrey Miller
Head of GMAT Instruction

Re: If t denotes the thousandths digit in the decimal   [#permalink] 09 Aug 2016, 13:41
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic x = 0.57y9. If y denotes the thousandth digit in the decimal represen Bunuel 3 27 Jul 2016, 01:42
2 Experts publish their posts in the topic If d is the thousandth’s digit in the decimal above, what is the value Bunuel 10 22 May 2016, 13:40
1 Experts publish their posts in the topic If t is the thousandth digit of decimal d = 26.rst, is t – 4 positive? stonecold 3 24 Apr 2016, 19:58
5 Experts publish their posts in the topic What is the thousandths digit of the decimal p ? thevenus 7 17 Oct 2012, 07:05
2 Experts publish their posts in the topic If t denotes the thousandths digit in the decimal GGUY 8 17 Jan 2008, 07:27
Display posts from previous: Sort by

If t denotes the thousandths digit in the decimal

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.