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

It is currently 19 Oct 2018, 02:54

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

If 1 < p < 2, is the tenths’ digit of the decimal representation of p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50001
If 1 < p < 2, is the tenths’ digit of the decimal representation of p  [#permalink]

Show Tags

New post 21 Sep 2018, 01:42
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:18) correct 28% (01:24) wrong based on 52 sessions

HideShow timer Statistics

CEO
CEO
User avatar
P
Joined: 08 Jul 2010
Posts: 2542
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If 1 < p < 2, is the tenths’ digit of the decimal representation of p  [#permalink]

Show Tags

New post 21 Sep 2018, 01:51
1
Bunuel wrote:
If 1 < p < 2, is the tenths’ digit of the decimal representation of p equal to 9?

(1) p + 0.01 < 2
(2) p + 0.1 > 2



For a number abc.def
a = Unit's Digit
b = Tens Digit
c = Hundreds Digit
d = tenth's Digit
e = Hundredth Digit
f = Thousandths digit


Question: If 1 < p < 2, is the tenths’ digit of the decimal representation of p equal to 9?

Statement 1: p + 0.01 < 2
@p = 1.1, p + 0.01 = 1.11 NO
@p=1.9, p + 0.01 = 1.91 YES

NOT SUFFICIENT

Statement 2: p + 0.1 > 2

i.e. p > 1.9 and also p < 2
i.e. 1.9 < p < 2
i.e. tenth digit of p must be 9 hence

SUFFICIENT

Answer: Option B
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Senior Manager
Senior Manager
User avatar
G
Joined: 18 Jul 2018
Posts: 274
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member CAT Tests
Re: If 1 < p < 2, is the tenths’ digit of the decimal representation of p  [#permalink]

Show Tags

New post 21 Sep 2018, 01:54
From statement 1:

p+0.01<2
p<1.99
P can be any value between 1 to 2.
So, decimal value may or might not be equal.
1 is insufficient.

From statement 2:

p+0.1>2
p>1.9
So, tenths’ digit of the decimal representation of p equal to 9
2 is sufficient.

B is the answer.
_________________

When you want something, the whole universe conspires in helping you achieve it.

CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3012
Location: Canada
Re: If 1 < p < 2, is the tenths’ digit of the decimal representation of p  [#permalink]

Show Tags

New post 21 Sep 2018, 05:57
Top Contributor
Bunuel wrote:
If 1 < p < 2, is the tenths’ digit of the decimal representation of p equal to 9?

(1) p + 0.01 < 2
(2) p + 0.1 > 2


Target question: Is the tenths digit of p equal to 9?

Given: 1 < p < 2

Statement 1: p + 0.01 < 2
Subtract 0.01 from both sides of the inequality to get: p < 1.99
We also know that 1 < p < 2
So, we can now conclude that 1 < p < 1.99
There are several values of p that satisfy statement 1. Here are two:
Case a: p = 1.5, in which case, the answer to the target question is the tenths digit is 5
Case b: p = 1.4, in which case, the answer to the target question is the tenths digit is 4
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: p + 0.1 > 2
Subtract 0.01 from both sides of the inequality to get: p > 1.9
We also know that 1 < p < 2
So, we can now conclude that 1.9 < p < 2
If p is greater than 1.9 and less than 2, then p = 1.9something
In other words, the answer to the target question is the tenths digit is 9
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

GMAT Club Bot
Re: If 1 < p < 2, is the tenths’ digit of the decimal representation of p &nbs [#permalink] 21 Sep 2018, 05:57
Display posts from previous: Sort by

If 1 < p < 2, is the tenths’ digit of the decimal representation of p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

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®.