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

It is currently 18 Aug 2018, 07:52

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

Let x and y be two distinct digits in the decimal x.yx, what is x?

  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: 47983
Let x and y be two distinct digits in the decimal x.yx, what is x?  [#permalink]

Show Tags

New post 15 Jan 2017, 09:19
2
3
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

56% (01:29) correct 44% (01:13) wrong based on 110 sessions

HideShow timer Statistics

Let x and y be two distinct digits in the decimal x.yx, what is x?

(1) When rounded to the nearest integer, the decimal becomes y
(2) When rounded to the nearest tenth, the decimal becomes x.y

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: Let x and y be two distinct digits in the decimal x.yx, what is x?  [#permalink]

Show Tags

New post 15 Jan 2017, 13:55
3
Bunuel wrote:
Let x and y be two distinct digits in the decimal x.yx, what is x?

(1) When rounded to the nearest integer, the decimal becomes y
(2) When rounded to the nearest tenth, the decimal becomes x.y


(1) That means y>=5, y = {5, 6, 7, 8, 9};
x = y - 1, x = {4, 5, 6, 7, 8} -----> x.yx = 4.54; 5.65; 6.76; 7.87; 8.98 Insufficient.

(2) Means x < 5, x = {1, 2, 3, 4} Insuficient.

(1) & (2) x = {1, 2, 3, 4}∩{4, 5, 6, 7, 8} = 4. Sufficient.

Answer C.
Senior Manager
Senior Manager
avatar
G
Joined: 02 Apr 2014
Posts: 484
GMAT 1: 700 Q50 V34
Re: Let x and y be two distinct digits in the decimal x.yx, what is x?  [#permalink]

Show Tags

New post 03 Nov 2017, 12:38
Statement 1: When rounded to the nearest integer, the decimal becomes y
=> \(y >= 5\) and \(y - x = 1\)
=> eg. \(6.76\) => rounded to nearest integer => \(7\)
\(5.65\) => rounded to nearest integer =>\(6\)
so not sufficient to get x

Statement 2: When rounded to the nearest tenth, the decimal becomes x.y

=> \(x < 5\)
=> eg. \(3.43\) => rounded => \(3.4\)
eg \(2.32\) => rounded => \(2.3\)
still insuff

Statement 1 + 2, => \(y>= 5 && y - x = 1\) and \(x < 5\), only combination possible is \(y = 5\) and \(x = 4\)=> sufficient => Answer (C)
Re: Let x and y be two distinct digits in the decimal x.yx, what is x? &nbs [#permalink] 03 Nov 2017, 12:38
Display posts from previous: Sort by

Let x and y be two distinct digits in the decimal x.yx, what is x?

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

Events & Promotions

PREV
NEXT


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®.