It is currently 11 Dec 2017, 12:10

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the 18th digit to the right of the decimal point

Author Message
TAGS:

Hide Tags

Manager
Status: Fighting hard
Joined: 04 Jul 2011
Posts: 69

Kudos [?]: 84 [0], given: 87

GMAT Date: 10-01-2012
What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

08 Nov 2012, 15:57
9
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:06) correct 41% (01:30) wrong based on 356 sessions

HideShow timer Statistics

What is the 18th digit to the right of the decimal point in the decimal expansion of 1/37?

(A) 0
(B) 2
(C) 4
(D) 7
(E) 9
[Reveal] Spoiler: OA

_________________

I will rather do nothing than be busy doing nothing - Zen saying

Kudos [?]: 84 [0], given: 87

Board of Directors
Joined: 01 Sep 2010
Posts: 3411

Kudos [?]: 9461 [2], given: 1185

Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

08 Nov 2012, 17:13
2
KUDOS
2
This post was
BOOKMARKED
$$\frac{1}{37}$$ could be a difficult or at least if not approched well could lead to the wron answer or prone of error

So, do $$\frac{100}{37}$$ in this way is more comfortable and in the end you will add 2 zeros

we want the 18 th number and 18 is even

$$\frac{100}{37}$$ $$=$$ $$270270$$ ------------> $$0.0270270$$

Now notice the first number is 0 second 2 third 7 and the fourth again 0

So $$4 * 4 = 16$$ in our pattern.

So is $$ZERO$$ $$+ 2 = 7$$ ( be carefull we are talking of units place not sum)

_________________

Kudos [?]: 9461 [2], given: 1185

Math Expert
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135255 [1], given: 12679

Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

09 Nov 2012, 03:08
1
KUDOS
Expert's post
Pansi wrote:
What is the 18th digit to the right of the decimal point in the decimal expansion of 1/37?

(A) 0
(B) 2
(C) 4
(D) 7
(E) 9

1/37=0.027027... So, we have a repeating cycle of 027. Every third digit (3rd, 6th, 9th, ...) to the right of the decimal point is 7, thus 18th digit to the right of the decimal point is also 7.

_________________

Kudos [?]: 135255 [1], given: 12679

Non-Human User
Joined: 09 Sep 2013
Posts: 14937

Kudos [?]: 287 [0], given: 0

Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

09 Sep 2014, 15:37
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.
_________________

Kudos [?]: 287 [0], given: 0

Manager
Joined: 21 Jun 2014
Posts: 144

Kudos [?]: 99 [0], given: 59

Location: United States
Concentration: General Management, Strategy
GMAT 1: 630 Q45 V31
GPA: 3.4
WE: Engineering (Computer Software)
Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

06 Jul 2015, 08:02
Always remember GMAT never asks for complex calculations .So whenever you see questions like this ,try to identify the pattern .In this case ,the fraction is a recurring decimal 0.027027027... 027 keeps on repeating .18th digit is 3*6 so 7 is the answer

Regards,
Manish Khare
_________________

Regards,
Manish Khare
"Every thing is fine at the end. If it is not fine ,then it is not the end "

Kudos [?]: 99 [0], given: 59

Non-Human User
Joined: 09 Sep 2013
Posts: 14937

Kudos [?]: 287 [0], given: 0

Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

01 Jan 2017, 14:43
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.
_________________

Kudos [?]: 287 [0], given: 0

Manager
Status: love the club...
Joined: 24 Mar 2015
Posts: 213

Kudos [?]: 21 [0], given: 472

Re: What is the 18th digit to the right of the decimal point [#permalink]

Show Tags

31 Aug 2017, 17:29
carcass wrote:
$$\frac{1}{37}$$ could be a difficult or at least if not approched well could lead to the wron answer or prone of error

So, do $$\frac{100}{37}$$ in this way is more comfortable and in the end you will add 2 zeros

we want the 18 th number and 18 is even

$$\frac{100}{37}$$ $$=$$ $$270270$$ ------------> $$0.0270270$$

Now notice the first number is 0 second 2 third 7 and the fourth again 0

So $$4 * 4 = 16$$ in our pattern.

So is $$ZERO$$ $$+ 2 = 7$$ ( be carefull we are talking of units place not sum)

hi
how can you say so ...?

.027 027 027

here we can see a set of "027" composed of 3 digits, NOT of 4 digits ...
to find the 18th digit, we can arrange 6 identical sets as shown above. Clearly the 18th digit is 7...

thanks ...

Kudos [?]: 21 [0], given: 472

Re: What is the 18th digit to the right of the decimal point   [#permalink] 31 Aug 2017, 17:29
Display posts from previous: Sort by