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

It is currently 22 Oct 2014, 04:26

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 d denotes a decimal, is d >= 0.5?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 11 Sep 2005
Posts: 19
Location: Framingham, MA, USA
Followers: 0

Kudos [?]: 1 [1] , given: 0

If d denotes a decimal, is d >= 0.5? [#permalink] New post 11 Dec 2005, 09:54
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:36) correct 25% (00:41) wrong based on 52 sessions
If d denotes a decimal, is d \ge 0.5 ?

(1) When d is rounded to the nearest tenth, the result is 0.5.
(2) When d is rounded to the nearest integer, the result is 1.
[Reveal] Spoiler: OA

Last edited by blshah on 11 Dec 2005, 17:08, edited 1 time in total.
VP
VP
avatar
Joined: 06 Jun 2004
Posts: 1061
Location: CA
Followers: 2

Kudos [?]: 28 [0], given: 0

Re: DS: d denotes a decimal [#permalink] New post 11 Dec 2005, 16:41
blshah wrote:
If d denotes a decimal, is d >= 5?

(1) When d is rounded to the nearest tenth, the result is 0.5.
(2) When d is rounded to the nearest integer, the results is 1.

This question is from OG 11th #58


There seems to be a typo in the question...I think you meant d >= 0.5

Answer is B

(1) When d is rounded to the nearest tenth, the result is 0.5 ==> d could be 0.49 or 0.52 ==> Insufficient

(2) When d is rounded to the nearest integer, the result is 1 ==> d ranges from 0.51 to 1.49 ==> Sufficient
Intern
Intern
avatar
Joined: 11 Sep 2005
Posts: 19
Location: Framingham, MA, USA
Followers: 0

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 11 Dec 2005, 17:10
Thanks for pointing out the typo. I have corrected it now.

I think that the answer is E.
(1) d could be anywhere from 0.45 to 0.54. Thus some of the values are greater than 0.5 and some are less than 0.5.
(2) d could be anywhere from 0.45 to 1.44. This is because 0.45 when rounded, gives 0.5 which when further rounded gives 1.

Can someone explain?
VP
VP
avatar
Joined: 06 Jun 2004
Posts: 1061
Location: CA
Followers: 2

Kudos [?]: 28 [0], given: 0

 [#permalink] New post 11 Dec 2005, 17:24
Quote:
(2) d could be anywhere from 0.45 to 1.44. This is because 0.45 when rounded, gives 0.5 which when further rounded gives 1.


When 0.45 is rounded to the nearest integer, it would be 0. For a decimal to be rounded to 1, it has to be between 0.50 ~ 1.49 ==> which are >= than 0.50
Director
Director
avatar
Joined: 14 Aug 2007
Posts: 735
Followers: 7

Kudos [?]: 104 [0], given: 0

Re: DS: decimals (OG11- #58) [#permalink] New post 02 Sep 2008, 23:08
droopy57 wrote:
If d denotes a decimal, is d≥0.5?

(1) When d is rounded to the nearest tenth, the result is 0.5

(2) When d is rounded to the nearest integer, the result is 1


B.

for 1 , the d can be 0.45 to 0.54, so may or may not be true

for 2, d has to be d≥0.5
Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 202
Followers: 2

Kudos [?]: 17 [0], given: 1

Re: DS: decimals (OG11- #58) [#permalink] New post 03 Sep 2008, 12:51
Ok I agree when d>0.5 and it is rounded to nearest integer then it is 1.
But what about d=0, it an be rounded to 0 as it does lie at equal distance from 0 as well as 1.
I am confused
Please explain
_________________

Nobody dies a virgin, life screws us all.

Manager
Manager
avatar
Joined: 27 Mar 2008
Posts: 81
Followers: 1

Kudos [?]: 14 [0], given: 0

Re: DS: decimals (OG11- #58) [#permalink] New post 03 Sep 2008, 20:27
OA is B

Here's the problem I had w/ this question:

(2) can't 0.459 rounded to nearest integer = 1? Or 0.4999, etc etc?
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1829
Location: New York
Followers: 27

Kudos [?]: 472 [0], given: 5

Re: DS: decimals (OG11- #58) [#permalink] New post 03 Sep 2008, 20:31
droopy57 wrote:
OA is B

Here's the problem I had w/ this question:

(2) can't 0.459 rounded to nearest integer = 1? Or 0.4999, etc etc?


0.459 or 0.4999 near to integer 0 than integer 1
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 202
Followers: 2

Kudos [?]: 17 [0], given: 1

Re: DS: decimals (OG11- #58) [#permalink] New post 03 Sep 2008, 20:58
sorry for the typo in previous post

Ok I agree when d>0.5 and it is rounded to nearest integer then it is 1.
But what about d=0.5, it can be rounded to 0 as it does lie at equal distance from 0 as well as 1.
So why it should be 1 instead of 0.
_________________

Nobody dies a virgin, life screws us all.

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1578
Followers: 12

Kudos [?]: 186 [0], given: 0

Re: DS: decimals (OG11- #58) [#permalink] New post 03 Sep 2008, 23:06
While rounding, one looks at only the immediate next digit.....if that digit is 5 or more....rounding is to 1....if that digit is less than 5 then rounded to 0.

Thus, 0.499999 will be rounded to 0 and 0.500000 will be rounded to 1.
Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 202
Followers: 2

Kudos [?]: 17 [0], given: 1

Re: DS: decimals (OG11- #58) [#permalink] New post 04 Sep 2008, 07:42
Thanks SCthakur for the explanation.
_________________

Nobody dies a virgin, life screws us all.

Director
Director
avatar
Status: -=GMAT Jedi=-
Joined: 04 Jan 2011
Posts: 740
Location: Kochi, India
Schools: ISB
WE 1: Engineer - Larsen & Toubro, ECC Division
WE 2: Faculty - T.I.M.E.
Followers: 33

Kudos [?]: 130 [0], given: 66

Re: Question from OG??? Experts, please, advice [#permalink] New post 01 Apr 2011, 07:20
Statement 1:
d can be equal to 0.49 which when rounded off to the nearest 10th place would be 0.5

d can be equal to 0.51 which when rounded off to the nearest 10th place would be 0.5

In the former case d < 0.5 in the later case d > 0.5

Therefore, the statement is not sufficient!

Statement 2:
If d is rounded off to the nearest integer and the result is 1, then the tenth place is greater than or equal to 5.
Thus, d must be greater or equal to 5.
Sufficient!

Ans - 'B'
_________________

Mission: Be a force of good and make a positive difference to every life I touch!

From 650 to 710 to 750 - My Tryst With GMAT [Experience Thread]

Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2039
Followers: 128

Kudos [?]: 953 [0], given: 376

Re: Question from OG??? Experts, please, advice [#permalink] New post 01 Apr 2011, 07:42
mirzohidjon wrote:
If d denotes a decimal,is d≥0.5?
I. When d is rounded to the nearest tenth, the result is 0.5.
II. When d is rounded to the nearest integer, the result is 1.

A. Statement I alone is sufficient
B. Statement II alone is sufficient
C. Both statements I and II together are sufficient
D. Each statement alone is sufficient
E. Statements I and II are not sufficient

I know the OA is B. However, my question is could answer be E?

I know that statement I is insufficient.

If we look at Statement II, it says that when d is rounded to the nearest integer, the result is 1. I think that the values from 0.45 till 1.44 would fit the statement II, hence the Statement should be incorrect. For example, let's round 0.49 to nearest integer. Because hundredth digit is 9, we round it to 0, now tenth digit 4 turns to 5, since it is 5, we round it to 1. Am I correct?
experts, please, help...


If d denotes a decimal,is d≥0.5?
I. When d is rounded to the nearest tenth, the result is 0.5.
Range: 0.45Anything<=d<=0.54Anything

II. When d is rounded to the nearest integer, the result is 1.
Range: 0.5Anything<=d<=1.4Anything
d is always more than or equal to 0.5.
Hence Sufficient.

Ans: "B"

********************
Descriptive:

When we talk about rounding a certain place value of the decimal; we mark that place and place immediately right to that.
I. When d is rounded to the nearest tenth, the result is 0.5.
We need to the see the "tenths place" and the "hundredths place"(hundredths place is right to tenths)
Rounding to 0.5 will result if the tenths place is 5 and hundredths place is from 0 to 4. The moment hundredths place digit become 5, the tenths place will become one more.

0.51 rounds to 0.5
0.52 rounds to 0.5
0.539999 rounds to 0.5
0.549999 rounds to 0.5
0.55000 rounds to 0.6(Here hundredths place is 5 i.e. more than 4 thus the tenths place become one more)

Similarly; if tenths place of the decimal is 4 i.e. a decimal such as 0.4768768768, we need to see the hundredths place to decide whether tenths place decimal become one more;

0.49=0.5
0.48999=0.5
0.47032=0.5
0.467685868=0.5
0.45342432=0.5
0.4499999999=0.4(Here hundredths place is 4 thus the tenths place remain as is)

Range: 0.45Anything<=d<=0.54Anything
d can 0.48<0.5 or d can be 0.51>0.5. Not Sufficient.

II. When d is rounded to the nearest integer, the result is 1.
We need to the see the "units place" and the "tenths place"(tenths place is right to units place if we ignore the "." in between)
Rounding to 1 or 1.0 will result if the units place is 1 and tenths place is from 0 to 4. The moment tenths place digit become 5, the units place will become one more.

1.1=1
1.23232=1
1.345545=1
1.454545=1
1.500089=2.0(Here tenths place is 5 i.e. more than 4 thus the units place become one more)

Similarly; if units place of the decimal is 0 i.e. a decimal such as 0.7576, we need to see the tenths place to decide whether units place decimal become one more;

0.9999=1
0.899=1
0.78=1
0.67=1
0.50=1
0.4999999=0(Here tenths place is 4 i.e. less than 5, the units place remain as is)

Range: 0.5Anything<=d<=1.4Anything
d is always more than or equal to 0.5.
Sufficient.

Ans: "B"
_________________

~fluke

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Senior Manager
Senior Manager
avatar
Joined: 18 Aug 2009
Posts: 437
Schools: UT at Austin, Indiana State University, UC at Berkeley
WE 1: 5.5
WE 2: 5.5
WE 3: 6.0
Followers: 6

Kudos [?]: 52 [0], given: 16

Re: Question from OG??? Experts, please, advice [#permalink] New post 01 Apr 2011, 07:47
Thank you very much. It was a nice brush up of rounding topic! I got where is my mistake!!!
_________________

Never give up,,,

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 768
Followers: 14

Kudos [?]: 58 [0], given: 42

CAT Tests
Re: Question from OG??? Experts, please, advice [#permalink] New post 03 Apr 2011, 06:10
I. following are the decimals when rounded to tenth would yield 0.5

0.45,046...05.0,0.51....0.54

on observing the above decimals , we can say some are less than 0.5,some greater than 0.5. so not enough to
answer .
Not sufficient.

2. here the decimals could be any of the following
0.5,0.6.....1.4 and all of them are greater than or equal to 0.5
Sufficient

Answer is B.
Manager
Manager
avatar
Joined: 05 Jul 2010
Posts: 205
Followers: 1

Kudos [?]: 11 [0], given: 18

Re: Question from OG??? Experts, please, advice [#permalink] New post 04 Apr 2011, 17:09
it should be B. anything greater than .500000.... and less than 1.499999.... will be 1. But i had a question. if we say d >= .5, does this means d can be anything greater than .5, i.e. can d be more than 1.5000 as well? in this case II is not sufficient.
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2039
Followers: 128

Kudos [?]: 953 [0], given: 376

Re: Question from OG??? Experts, please, advice [#permalink] New post 05 Apr 2011, 01:52
brandy96 wrote:
it should be B. anything greater than .500000.... and less than 1.499999.... will be 1. But i had a question. if we say d >= .5, does this means d can be anything greater than .5, i.e. can d be more than 1.5000 as well? in this case II is not sufficient.


Question asks: Is d>0.5
Statement 2 says: d must be between 0.50000 and 1.499999. Thus, d can't be more than or equal to 1.5. We must consider the statements as true. The statements may be relevant or irrelevant/ sufficient or insufficient to answer the question asked in the stem but they are always true.
_________________

~fluke

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: Question from OG??? Experts, please, advice   [#permalink] 05 Apr 2011, 01:52
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic D01-05 Bunuel 2 15 Sep 2014, 23:11
14 Experts publish their posts in the topic If d denotes a decimal, is d>=0.5 ? Bunuel 8 15 Oct 2012, 03:49
If (d) denotes the area of a circle with diameter d, then mishak 6 21 Dec 2008, 13:06
If d denotes a decimal, is d>=0.5? (1) When d is rounded kekc 3 12 May 2007, 02:36
4 Experts publish their posts in the topic If d denotes a decimal, is d>=0.5 parthac 8 18 Apr 2006, 07:08
Display posts from previous: Sort by

If d denotes a decimal, is d >= 0.5?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.