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

It is currently 07 Dec 2019, 01:31

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

Rounded to the nearest unit, x=?

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

Hide Tags

Find Similar Topics 
BSchool Forum Moderator
avatar
V
Joined: 29 Jan 2015
Posts: 1466
Location: India
WE: General Management (Non-Profit and Government)
GMAT ToolKit User Premium Member Reviews Badge
Rounded to the nearest unit, x=?  [#permalink]

Show Tags

New post 19 Feb 2019, 06:09
1
2
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

33% (01:27) correct 67% (01:22) wrong based on 39 sessions

HideShow timer Statistics

Rounded to the nearest unit, x=?

(1) Rounded to the nearest unit, 6x=9

(2) Rounded to the nearest units, x/3=1
Intern
Intern
User avatar
B
Joined: 17 May 2018
Posts: 48
Re: Rounded to the nearest unit, x=?  [#permalink]

Show Tags

New post 19 Feb 2019, 09:34
2
Let's start with the second statement, it will be easier to understand.

(2) Rounded to the nearest units, x/3=1. This means that the result of dividing x by 3 is between 0.5 and 1.5 (non inclusive) so that we would round it to one. This translates to:
0.5<x/3<1.5
We multiply everything by 3:
1.5<x<4.5
This statement by itself is not sufficient.

(1) Let's follow the same reasoning for statement 1. We must have:
8.5<6x<9.5
Divide everything by 6, we get approx:
1.4 < x < 1.6
By itself it's not enough, the number can be rounded down or up depending on how close it is to its lower or upper limit.

1) and 2) If we combine the inequalities, we'll have:
1.5<x<1.6
Which means x will be rounded up to 2.

Answer C!
_________________
¿Tienes que presentar el GMAT y no sabes por dónde empezar?
¡Visita GMAT para Principiantes y recibe el curso completo gratis!
Manager
Manager
avatar
B
Joined: 27 Jun 2015
Posts: 56
GRE 1: Q158 V143
CAT Tests
Re: Rounded to the nearest unit, x=?  [#permalink]

Show Tags

New post 19 Feb 2019, 10:00
From the Question stem its is clear that the value of X will be a unit digit

Statement 1--->
X can have multiples values ranging from 1.42 to 1.5
Thus Statement 1 is insufficient

Statement 2-->
X can have values ranging from 1.5 to 3
Thus statement 2 is also insufficient

Combining both the statements will give a Unique value of X = 1.5.

Thus C is the answer
Intern
Intern
User avatar
B
Joined: 17 May 2018
Posts: 48
Rounded to the nearest unit, x=?  [#permalink]

Show Tags

New post 19 Feb 2019, 10:13
vishumangal wrote:
From the Question stem its is clear that the value of X will be a unit digit

Statement 1--->
X can have multiples values ranging from 1.42 to 1.5
Thus Statement 1 is insufficient

Statement 2-->
X can have values ranging from 1.5 to 3
Thus statement 2 is also insufficient

Combining both the statements will give a Unique value of X = 1.5.

Thus C is the answer


I see three inaccuracies in your answer:

1) In Statement 1, x can have multiple values from 1.42 to 1.58
2) In statement 2, x can have values ranging from 1.5 to 4.5
3) If x = 1.5 exactly, you could either round it down or up, so I think it would not be sufficient to answer the question?
_________________
¿Tienes que presentar el GMAT y no sabes por dónde empezar?
¡Visita GMAT para Principiantes y recibe el curso completo gratis!
Current Student
User avatar
B
Affiliations: All Day Test Prep
Joined: 08 May 2018
Posts: 75
Location: United States (IL)
Schools: Booth '20 (A)
GMAT 1: 770 Q51 V49
GRE 1: Q167 V167
GPA: 3.58
Re: Rounded to the nearest unit, x=? (1) Rounded to the nearest unit, 6x=9  [#permalink]

Show Tags

New post 02 Apr 2019, 11:36
1
1
MBA20 wrote:
Rounded to the nearest unit, x=?
(1) Rounded to the nearest unit, 6x=9
(2) Rounded to the nearest units, x/3=1

A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.


1) If 6x rounded to the nearest unit is 9 then 8.5 ≤ 6x < 9.5
- multiply by 10 throughout ---> 85 ≤ 60x < 95
- (85/60) ≤ x < (95/60) -----> Simplified: (17/12) ≤ x < (19/12)
- 17/12 will get rounded down to 1, while 19/12 would get rounded up to 2. Therefore, INSUFFICIENT

2) If x/3 rounded to the nearest unit is 1 then .5 ≤ (x/3) < 1.5
- multiply by 3 throughout ---> 1.5 ≤ x < 4.5
- INSUFFICIENT

1 & 2)
- separately we know (17/12) ≤ x < (19/12) AND 1.5 ≤ x < 4.5
- therefore together our boundaries are defined by the more limiting extreme
- this means 1.5 ≤ x < (17/12)
- any value for x within this boundary will be rounded up to 2. Together the statements are SUFFICIENT

Answer: C
_________________
Adam Rosman, MD
University of Chicago Booth School of Business, Class of 2020
adam@alldaytestprep.com

Unlimited private GMAT Tutoring in Chicago for less than the cost a generic prep course. No tracking hours. No watching the clock.
https://www.alldaytestprep.com


GMAT Club Bot
Re: Rounded to the nearest unit, x=? (1) Rounded to the nearest unit, 6x=9   [#permalink] 02 Apr 2019, 11:36
Display posts from previous: Sort by

Rounded to the nearest unit, x=?

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





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