Author 
Message 
TAGS:

Hide Tags

Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 98
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)

If digit h is the hundredths' digit in the decimal d=0.2h6,
[#permalink]
Show Tags
Updated on: 20 Sep 2012, 04:55
Question Stats:
60% (00:53) correct 40% (01:08) wrong based on 621 sessions
HideShow timer Statistics
If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth? (1) d < 1/4 (2) h < 5
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by vanidhar on 30 Sep 2010, 02:24.
Last edited by Bunuel on 20 Sep 2012, 04:55, edited 1 time in total.
Edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 47983

Re: hundreth digit
[#permalink]
Show Tags
30 Sep 2010, 02:36
If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth?Given: \(d=0.2h6\). (1) d < 1/4 > 1/4 = 0.25 > \(0.2h6<0.25\) > \(h<5\) (\(0.2<d<0.25\))> \(d\), rounded to the nearest tenth will be \(0.2\). Sufficient. (2) h < 5 > the same as above: \(d\), rounded to the nearest tenth will be \(0.2\). Sufficient. Answer: D. Note: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. Also:1234.567 1  THOUSANDS 2  HUNDREDS 3  TENS 4  UNITS .  decimal point5  TENTHS 6  HUNDREDTHS 7  THOUSANDTHS
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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? Extrahard Quant Tests with Brilliant Analytics




Intern
Joined: 25 Feb 2013
Posts: 6
Concentration: Finance, Marketing
GPA: 3.7

Re: hundreth digit
[#permalink]
Show Tags
18 Mar 2014, 23:10
Hi Bunuel, You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25>0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm. Looking forward to hearing from you. Thanks and regards, Eshan
_________________
Thank you, Best regards
Eshan



Math Expert
Joined: 02 Sep 2009
Posts: 47983

Re: hundreth digit
[#permalink]
Show Tags
19 Mar 2014, 02:49
Eshan wrote: Hi Bunuel,
You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25>0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm.
Looking forward to hearing from you.
Thanks and regards,
Eshan Yes, when rounding to the nearest tenth, we only need to know the hundredth: when rounding we are interested in the first dropped digit. So, 0.246 rounded to the tenth is 0.2, not 0.3. Hope it helps.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 25 Feb 2013
Posts: 6
Concentration: Finance, Marketing
GPA: 3.7

Re: hundreth digit
[#permalink]
Show Tags
19 Mar 2014, 20:04
Bunuel wrote: Eshan wrote: Hi Bunuel,
You mean to say that we completely ignore the 1000th digit ("6" in this question) and irrespective of it being more than 5, we will use the 100th digit and answer the question according to that. I thought we look at "6", so if we assume the 100th digit to be 4 (less than "5") it becomes 0.246, which first rounds off to 0.25 (because 6 is greater than 5) and then answer becomes is 0.3, rounding off 0.25>0.3. I think this was the wrong way (however, we were taught this in primary school). This is a learning for me. Please confirm.
Looking forward to hearing from you.
Thanks and regards,
Eshan Yes, when rounding to the nearest tenth, we only need to know the hundredth: when rounding we are interested in the first dropped digit. So, 0.246 rounded to the tenth is 0.2, not 0.3. Hope it helps. Thank you for the clarification Bunuel. Highly appreciated.
_________________
Thank you, Best regards
Eshan



Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 347

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
17 Apr 2015, 05:10
Bunuel wrote: If digit h is the hundredths digit in the decimal n = 0.2h6, what is the value of n, rounded to the nearest tenth?
(1) n < 1/4 (2) h < 5
Kudos for a correct solution. 1. n<0.25 n (rounded to the nearest tenths)=0.2 Sufficient 2. h<5 n (rounded to the nearest tenths)=0.2 Sufficient Answer: D



Manager
Joined: 17 Mar 2015
Posts: 121

If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
Updated on: 17 Apr 2015, 12:11
#1 n< 1/4 implies that n < 0,25 which explicitly lets us round it down to 0,2 coz the hundredth digit in this case is 4 at max(which rounds down). SUFFICIENT
#2 h<5. Lets look at our number: n = 0.2h6 rounds to n = 0.2(h+1). If h = 4 we get n = 0,25 which rounds up to 0,3, if h < 4 then the result is 0,2 INSUFFICIENT
A edit: #2 h<5. Since 6 is not the factor due to the fact that we are rounding to tenths, h being below 5 (0 1 2 3 or 4) lets us explicitly answer our question thus SUFFICIENT
Answer ends up being D.
Thanks for ur comemnt rich! Every day learning something new, huh.
Originally posted by Zhenek on 17 Apr 2015, 06:17.
Last edited by Zhenek on 17 Apr 2015, 12:11, edited 2 times in total.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12196
Location: United States (CA)

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
17 Apr 2015, 10:38
Hi Zhenek, When rounding a decimal to the 'nearest tenth", the thousandth's digit has NO EFFECT on the rounding. So in this question, the '6' is NOT a factor  only the H is. Knowing that, what would you do differently with Fact 2? GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Manager
Joined: 17 Mar 2015
Posts: 121

If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
17 Apr 2015, 12:07
Then I'd say that it lets us explicitly answer the question and makes D the answer



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12196
Location: United States (CA)

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
17 Apr 2015, 15:51
Hi Zhenek, Very good. While explicit "rounding" as a subject isn't something you'll be asked about too often on Test Day (likely just 12 times), the rules that govern it are not too complicated. As you 'lock in' more of these rarer categories, you'll see a nice increase in your Quant scores. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Intern
Joined: 11 Sep 2013
Posts: 21

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
18 Apr 2015, 14:07
n=0.2h6
1) n <1/4
=> n<0.25
so h <5.
so rounded to the nearest tenth, n becomes = 0.2 (as h <5)
Sufficient
2) h <5
n rounded to nearest tenth =0.2 (as h <5)
sufficient
hence D



Manager
Joined: 15 May 2014
Posts: 64

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
19 Apr 2015, 03:24
Given n =0.2h6
Statement (1): n < 1/4 > n < 0.25, so n ranges between 0.20 and 0.24; n's tenth won't change Sufficient
Statement (2) h < 5, so n ranges between 0.206 and 0.246 ONLY considering hundredth's when rounding n to its tenth, n's tenth won't change Sufficient
Answer D



Math Expert
Joined: 02 Sep 2009
Posts: 47983

Re: If digit h is the hundredths digit in the decimal n = 0.2h6, what is t
[#permalink]
Show Tags
20 Apr 2015, 05:01
Bunuel wrote: If digit h is the hundredths digit in the decimal n = 0.2h6, what is the value of n, rounded to the nearest tenth?
(1) n < 1/4 (2) h < 5
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTIONGiven that n = 0.2h6 We need to find the value of n rounded to the nearest tenth i.e. we need to keep only one digit after the decimal. Statement 1: n < 1/4 In decimal form, it means n < 0.25 If h were 5 or greater, n would become 0.256 or 0.266 or higher. All these values would be more than 0.25 so h must be less than 5 such as 0.246 or 0.236 etc. In all such cases, n would be rounded to 0.2 This statement alone is sufficient. Statement 2: h < 5 This is even simpler. Since we have been given that h is less than 5, when we round n to the tenths digit, we will get 0.2 This statement alone is also sufficient. Answer (D)
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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? Extrahard Quant Tests with Brilliant Analytics



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2649

Re: If digit h is the hundredths' digit in the decimal d=0.2h6,
[#permalink]
Show Tags
19 Nov 2016, 01:30
vanidhar wrote: If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth?
(1) d < 1/4 (2) h < 5 Rounding decimal to nearest tenths we will get=> 0.2 for h=> {0,1,2,3,4} 0.3 fro h=>{5,6,7,8,9} so essentially we need to check whether h is <5 or ≥5 statement 1 d<1/4 so d<0.25 hence h can be 0,1,2,3,4 hence sufficient statement 2 h<5 again sufficient Hence D
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



NonHuman User
Joined: 09 Sep 2013
Posts: 7755

Re: If digit h is the hundredths' digit in the decimal d=0.2h6,
[#permalink]
Show Tags
16 Dec 2017, 12:27
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




Re: If digit h is the hundredths' digit in the decimal d=0.2h6, &nbs
[#permalink]
16 Dec 2017, 12:27






