Last visit was: 18 Jul 2024, 19:17 It is currently 18 Jul 2024, 19:17
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.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Difficulty: Sub 505 Level,    Arithmetic,    Fractions and Ratios,                            
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94407
Own Kudos [?]: 642107 [51]
Given Kudos: 85997
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 94407
Own Kudos [?]: 642107 [31]
Given Kudos: 85997
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 94407
Own Kudos [?]: 642107 [6]
Given Kudos: 85997
Send PM
General Discussion
User avatar
Intern
Intern
Joined: 10 Apr 2012
Posts: 31
Own Kudos [?]: 47 [0]
Given Kudos: 13
Concentration: Finance
WE:Analyst (Commercial Banking)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
d=2.0453 rounded to the nearest hundredth is 2.0450=d*. So d*-d=-0.0003. Answer B
User avatar
Director
Director
Joined: 25 Apr 2012
Posts: 529
Own Kudos [?]: 2319 [1]
Given Kudos: 740
Location: India
GPA: 3.21
WE:Business Development (Other)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
Bunuel wrote:
If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d* - d ?

(A) -0.0053
(B) -0.0003
(C) 0.0007
(D) 0.0047
(E) 0.0153

]


Sol: given d=2.0453 so when rounded to nearest hundredth will be 2.05 so
d* - d = 2.05. - 2.0453 = 0.0047

Ans D
avatar
Intern
Intern
Joined: 02 Oct 2013
Posts: 5
Own Kudos [?]: 7 [1]
Given Kudos: 6
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
+1 for D

2.0453 rounded to nearest hundredth is 2.05
User avatar
Manager
Manager
Joined: 21 Mar 2011
Status:GMATting
Posts: 96
Own Kudos [?]: 288 [1]
Given Kudos: 104
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
d = 2.0453;
Here, the hundredth digit is 4 and thousandth's digit is 5; Therefore, rounding off to the hundredth digit to a higher number will give 2.05;
So, d* = 2.05;

d* - d = 2.05 - 2.0453 = 0.0047;

Ans is (D).
Manager
Manager
Joined: 20 Dec 2013
Posts: 183
Own Kudos [?]: 291 [1]
Given Kudos: 35
Location: India
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
Rounded to nearest 100 d=2.0500
Hence d*-d=2.0500-2.0453=.0047
Ans D
User avatar
Manager
Manager
Joined: 04 Oct 2013
Posts: 127
Own Kudos [?]: 304 [0]
Given Kudos: 55
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d* - d ?

(A) -0.0053
(B) -0.0003
(C) 0.0007
(D) 0.0047
(E) 0.0153


d = 2.0453

Rounding d to the nearest hundredth, d* = 2.05

So, d* - d = 2.05 - 2.0453 = 0.0047

Answer: (D)
avatar
Intern
Intern
Joined: 25 Jan 2014
Posts: 38
Own Kudos [?]: 20 [0]
Given Kudos: 4
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29
GMAT 2: 710 Q48 V38
GPA: 3.35
WE:Analyst (Computer Software)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Hi Buenel

Quick one

You quoted : 5.3485 rounded to the nearest tenth is 5.3, since the dropped 4 is less than 5.

But shouldnt it be 5.4 , as 5.3485 rounded to nearest thousand = 5.349, rounded to nearest hundred = 5.35 and hence rounded to nearest ten = 5.4?
Math Expert
Joined: 02 Sep 2009
Posts: 94407
Own Kudos [?]: 642107 [0]
Given Kudos: 85997
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Expert Reply
gaurav1418z wrote:
Hi Buenel

Quick one

You quoted : 5.3485 rounded to the nearest tenth is 5.3, since the dropped 4 is less than 5.

But shouldnt it be 5.4 , as 5.3485 rounded to nearest thousand = 5.349, rounded to nearest hundred = 5.35 and hence rounded to nearest ten = 5.4?


No, it should be as written.

When rounding to the nearest tenth the FIRST dropped digit is 4, less than 5, thus 5.3485 rounded to the nearest tenth = 5.3.
avatar
Intern
Intern
Joined: 25 Jan 2014
Posts: 38
Own Kudos [?]: 20 [0]
Given Kudos: 4
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29
GMAT 2: 710 Q48 V38
GPA: 3.35
WE:Analyst (Computer Software)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Sorry a little confused Bunuel

You stated in your posts-

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.

I get the logic of the second and the third statement. As per second statement , 5.3485 rounded to hundredth= 5.35, and hence if we go ahead and further round 5.35 to the nearest tenth , shouldnt we get 5.4

If it was 5.34, it should yield 5.3, but for 5.3x, where x= 5,6,7,8,9 , shouldnt it round off to 5.4?
avatar
Intern
Intern
Joined: 25 Jan 2014
Posts: 38
Own Kudos [?]: 20 [1]
Given Kudos: 4
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29
GMAT 2: 710 Q48 V38
GPA: 3.35
WE:Analyst (Computer Software)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
Many Thanks Bunuel, i get it now.
Alum
Joined: 12 Aug 2015
Posts: 2271
Own Kudos [?]: 3196 [1]
Given Kudos: 893
GRE 1: Q169 V154
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
Here D* = 2.05 as the next digit immediately after the hundredths is 5.

Hence D*-D=0.0047 => Smash that D
Intern
Intern
Joined: 06 Jul 2018
Posts: 8
Own Kudos [?]: 34 [0]
Given Kudos: 52
GMAT 1: 670 Q48 V34
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
when 2.0453 rounded to nearest hundredth then it will become 2.05

Now 2.05-2.0453=0.0047
Manager
Manager
Joined: 01 Nov 2017
Posts: 106
Own Kudos [?]: 121 [0]
Given Kudos: 333
Location: India
Concentration: Finance, Leadership
Schools: ISB '21
GMAT 1: 690 Q49 V36
GPA: 4
WE:Web Development (Consulting)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Hi,

As the hundredth digit is an even number before 5, isn't 2.0453 should be 2.04?

Hence 2.04 - 2.0453 = -0.0053?

Please correct me if I am wrong.

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 94407
Own Kudos [?]: 642107 [0]
Given Kudos: 85997
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Expert Reply
Codebug4it wrote:
Hi,

As the hundredth digit is an even number before 5, isn't 2.0453 should be 2.04?

Hence 2.04 - 2.0453 = -0.0053?

Please correct me if I am wrong.

Thanks



Rounding rules explained in detail in this post: https://gmatclub.com/forum/if-d-2-0453- ... l#p1323005
Manager
Manager
Joined: 01 Nov 2017
Posts: 106
Own Kudos [?]: 121 [0]
Given Kudos: 333
Location: India
Concentration: Finance, Leadership
Schools: ISB '21
GMAT 1: 690 Q49 V36
GPA: 4
WE:Web Development (Consulting)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Thank you Bunuel for the link.
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19172
Own Kudos [?]: 22671 [1]
Given Kudos: 286
Location: United States (CA)
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
1
Kudos
Expert Reply
Bunuel wrote:
If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d* - d ?

(A) -0.0053
(B) -0.0003
(C) 0.0007
(D) 0.0047
(E) 0.0153

Solution:

We see that d* = 2.05, which is the value of d when rounded to the nearest hundredth. Therefore, d* - d = 2.05 - 2.0453 = 0.0047.

Answer: D
Intern
Intern
Joined: 01 Mar 2021
Posts: 17
Own Kudos [?]: 10 [0]
Given Kudos: 7
Send PM
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
2.0453 rounding the nearest hundredth is 2.05

2.0453 + .0007 = 2.0460
2.0460 + .0040 = 2.0500

Add bolded decimals to get the difference/answer
GMAT Club Bot
Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
 1   2   
Moderator:
Math Expert
94407 posts