Last visit was: 18 Dec 2024, 17:15 It is currently 18 Dec 2024, 17:15
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

101st digit after the decimal point

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
soumya1989
Director
Director
Joined: 16 May 2014
Posts: 592
Own Kudos [?]: 2062 [0]
Given Kudos: 0
GRE 1: Q165 V161
Send PM
101st digit after the decimal point [#permalink] New post   08 May 2016, 03:00
Expert Reply
00:00

Question Stats:

58% (01:50) correct 41% (01:23) wrong based on 41 sessions

Hide Show timer Statistics

x = 1/3 + 1/9 + 1/27 + 1/37
Column AColumn B
101st digit after the decimal point in the decimal representation of x5


A bit hard one. Truth be told chances of getting a question like this in actual GRE is quite slim. Still good to practise these.
Kudos to the answer with the best explanation.
ShowHide Answer
Official Answer
B
avatar
Sonalika42
Manager
Manager
Joined: 12 Jan 2016
Posts: 142
Own Kudos [?]: 189 [0]
Given Kudos: 0
Send PM
Re: 101st digit after the decimal point [#permalink] New post   26 May 2016, 08:18
B
bcoz 101st digit will be zero
avatar
rapsjade
Manager
Manager
Joined: 23 Jan 2016
Posts: 133
Own Kudos [?]: 211 [0]
Given Kudos: 0
Send PM
Re: 101st digit after the decimal point [#permalink] New post   26 May 2016, 19:42
1
the value is 508/999; This is a repeating decimal .508508.....; Hence 99th digit will be 8, so 101th digit will be 0. Hence answer is B
avatar
AkashDU
Intern
Intern
Joined: 16 Aug 2015
Posts: 7
Own Kudos [?]: 7 [0]
Given Kudos: 0
Send PM
Re: 101st digit after the decimal point [#permalink] New post   27 May 2016, 17:58
soumya1989 wrote:
x = 1/3 + 1/9 + 1/27 + 1/37
Column AColumn B
101st digit after the decimal point in the decimal representation of x5


A bit hard one. Truth be told chances of getting a question like this in actual GRE is quite slim. Still good to practise these.
Kudos to the answer with the best explanation.




LCM of 27 & 37 is 999. So whatever goes to numerator, will repeat itself in the decimal reprsentation. In this case it is 508.
Now, 101 leaves a remainder of 2 when it is divided by the cyclicity period of the representation. Here, the cyclicity period is 3.
Therefore the 2nd digit of 508 will be the 101th number.

Ans: B
avatar
IshanGre
Manager
Manager
Joined: 29 Nov 2017
Posts: 190
Own Kudos [?]: 135 [0]
Given Kudos: 0
Location: United States
GRE 1: Q142 V146
WE:Information Technology (Computer Software)
Send PM
Re: 101st digit after the decimal point [#permalink] New post   28 Apr 2018, 20:43
AkashDU wrote:
soumya1989 wrote:
x = 1/3 + 1/9 + 1/27 + 1/37
Column AColumn B
101st digit after the decimal point in the decimal representation of x5


A bit hard one. Truth be told chances of getting a question like this in actual GRE is quite slim. Still good to practise these.
Kudos to the answer with the best explanation.




LCM of 27 & 37 is 999. So whatever goes to numerator, will repeat itself in the decimal reprsentation. In this case it is 508.
Now, 101 leaves a remainder of 2 when it is divided by the cyclicity period of the representation. Here, the cyclicity period is 3.
Therefore the 2nd digit of 508 will be the 101th number.

Ans: B



How did you get 508 in numerator?
Prep Club for GRE Bot
gmatclubot
Re: 101st digit after the decimal point [#permalink]
28 Apr 2018, 20:43
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact