GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Nov 2019, 16:23 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # What is the thousandths digit of the decimal p ?

Author Message
TAGS:

### Hide Tags

Senior Manager  B
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 406
Location: United States (NY)
GPA: 3.82
WE: Account Management (Retail Banking)
What is the thousandths digit of the decimal p ?  [#permalink]

### Show Tags

3 00:00

Difficulty:   25% (medium)

Question Stats: 72% (01:11) correct 28% (01:13) wrong based on 297 sessions

### HideShow timer Statistics

What is the thousandths digit of the decimal p ?

(1) p is equivalent to the fraction 4/7.
(2) The units digit of 100p is 2.

"GMAT Hacks " Daily Question:-

Spoiler: :: OE
Statement (1) is sufficient. It would require long division to determine the thousandths digit of 4/7, but since 4/7 is a specific real number, we should realize that we could do so.

Statement (2) is insufficient. Say that 100p = 112.11, for one example when the units digit is 100p is 2. We're interested in p, so divide both sides by 100:
p = 112/100 = 1.1211

The thousandths digit is 1--but remember that we invented that digit for the purpose of an example. It could just as easily have been any other integer. Choice (A) is correct.

_________________
" Make more efforts "
Press Kudos if you liked my post
Math Expert V
Joined: 02 Sep 2009
Posts: 58991
Re: What is the thousandths digit of the decimal p ? (1) p is e  [#permalink]

### Show Tags

1
5
##### General Discussion
Senior Manager  B
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 406
Location: United States (NY)
GPA: 3.82
WE: Account Management (Retail Banking)
Re: What is the thousandths digit of the decimal p ? (1) p is e  [#permalink]

### Show Tags

Thank a lot for sharing this huge collection.Kudos +1 for you !!!
_________________
" Make more efforts "
Press Kudos if you liked my post
Math Expert V
Joined: 02 Sep 2009
Posts: 58991
Re: What is the thousandths digit of the decimal p ? (1) p is e  [#permalink]

### Show Tags

Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57

_________________
Intern  Joined: 22 May 2013
Posts: 43
Concentration: General Management, Technology
GPA: 3.9
WE: Information Technology (Computer Software)
Re: What is the thousandths digit of the decimal p ? (1) p is e  [#permalink]

### Show Tags

thevenus wrote:
"GMAT Hacks " Daily Question:-

What is the thousandths digit of the decimal p ?
(1) p is equivalent to the fraction 4/7.
(2) The units digit of 100p is 2.

Spoiler: :: OE
Statement (1) is sufficient. It would require long division to determine the thousandths digit of 4/7, but since 4/7 is a specific real number, we should realize that we could do so.

Statement (2) is insufficient. Say that 100p = 112.11, for one example when the units digit is 100p is 2. We're interested in p, so divide both sides by 100:
p = 112/100 = 1.1211

The thousandths digit is 1--but remember that we invented that digit for the purpose of an example. It could just as easily have been any other integer. Choice (A) is correct.

For Decimal numbers, such as 0.abcd Each digit has a different place value.

The first digit after the decimal point is called the tenths place value.
The second digit tells you how many hundredths there are in the number.
The third digit is the thousandths place.
The fourth digit is the ten-thousandths place , and so on.

Now back to the question :
let p=0.abcd, we need to know the value of c

(1) p=4/7
Well we have been given the entire no, who cares what is asked, any digit of the resultant decimal number can be answered =>Definitely sufficient

(2)units digit of 100p is 2
i.e. for ab.cd, b=2
we still dont know c though =>Clearly insufficient

Ans: A
_________________
PS: Like my approach? Please Help me with some Kudos. Senior Manager  Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 475
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29 GMAT 2: 590 Q35 V35 GMAT 3: 570 Q42 V28 GMAT 4: 610 Q44 V30 GPA: 3.45
WE: Accounting (Accounting)
Re: What is the thousandths digit of the decimal p ?  [#permalink]

### Show Tags

1
Here is the Official Explanation from the GMAT Hacks website.

Statement (1) is sufficient. It would require long division to determine the thousandths digit of 4/7, but since 4/7 is a specific real number, we should realize that we could do so.

Statement (2) is insufficient. Say that 100p = 112.11, for one example when the units digit is 100p is 2. We're interested in p, so divide both sides by 100:
p = 112/100 = 1.1211

The thousandths digit is 1--but remember that we invented that digit for the purpose of an example. It could just as easily have been any other integer. Choice (A) is correct.
Manager  B
Joined: 29 Aug 2013
Posts: 69
Location: United States
GMAT 1: 590 Q41 V29 GMAT 2: 540 Q44 V20 GPA: 3.5
WE: Programming (Computer Software)
Re: What is the thousandths digit of the decimal p ?  [#permalink]

### Show Tags

thevenus wrote:
What is the thousandths digit of the decimal p ?

(1) p is equivalent to the fraction 4/7.
(2) The units digit of 100p is 2.

"GMAT Hacks " Daily Question:-

Spoiler: :: OE
Statement (1) is sufficient. It would require long division to determine the thousandths digit of 4/7, but since 4/7 is a specific real number, we should realize that we could do so.

Statement (2) is insufficient. Say that 100p = 112.11, for one example when the units digit is 100p is 2. We're interested in p, so divide both sides by 100:
p = 112/100 = 1.1211

The thousandths digit is 1--but remember that we invented that digit for the purpose of an example. It could just as easily have been any other integer. Choice (A) is correct.

The first digit after decimal is "tenth", 2nd is "hundredth" and the third digit is "thousandth" and so on.

So $$p = XX.abcd$$ where c is the thousandth digit.

Statement 1 :-
If p = 4/7 then we can certainly know what is the thousandth digit.
Even if it ends at tenth digit or hundredth digit (eg in case of 2/5 which is equal to 0.4) we know that the thousandth digit will be "0" in that case. So no need to actually calculate here.

Statement 2 :-
If we multiply p which is $$p = XX.abcd$$ by 100 then we get $$XXab.cd$$.

It is given what b is but we are interested in thousandth digit which is c. Hence Not sufficient.

Consider Kudos if the post helps!! It certainly motivates others to post!! Non-Human User Joined: 09 Sep 2013
Posts: 13566
Re: What is the thousandths digit of the decimal p ?  [#permalink]

### Show Tags

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.
_________________ Re: What is the thousandths digit of the decimal p ?   [#permalink] 07 Mar 2018, 02:47
Display posts from previous: Sort by

# What is the thousandths digit of the decimal p ?  