NEW HERE? LEARN MORE
closeclose
It is currently 17 Apr 2024, 18:15
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If 49 < x < 54 what is the value of x? (1) x is not a prime number.

17 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92741
CAT Tests Forum Quiz Mode
If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 01:18
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

81% (00:55) correct 19% (01:07) wrong based on 109 sessions
Hide Show timer Statistics

Competition Mode Question



If 49 < x < 54 what is the value of x?

(1) x is not a prime number.

(2) x is odd.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
request expert reply
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1301
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 01:36
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.
--> Possible values of x = {50, 50.2, 51, 52, 53.7, . . . . .} --> Insufficient

(2) x is odd.
--> Possible values of x = {51, 53} --> Insufficient

Combining (1) & (2),
Possible value of x = 51 ONLY --> Sufficient

Option C
User avatar
L
freedom128
Director
Director
Joined: 30 Sep 2017
Posts: 956
GMAT 1: 720 Q49 V40
GPA: 3.8
Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 02:39
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.
Possible values of x are 50, 51 and 52. We don't know which one.
NOT SUFFICIENT

(2) x is odd.
Possible values of x are 51 and 53. We don't know which one.
NOT SUFFICIENT

(1)+(2)
From both statements, we can deduce that x=51
SUFFICIENT

FINAL ANSWER IS (C)
User avatar
G
Ravixxx
Manager
Manager
Joined: 24 Feb 2020
Posts: 119
Location: Italy
WE:Analyst (Investment Banking)
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 02:50
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.
(2) x is odd.

STATEMENT 1:
Prime number in this range is 53, new range 49 < x < 53
X could be {50; 51; 52}
Not sufficient.

STATEMENT 2:
There are more than one odd values in 49 < x < 54
X could be {51;53}
Not sufficient.

Together:
Range 49 < x < 53 We need {Odd number}
X=51

Answer C.
User avatar
P
monikakumar
Manager
Manager
Joined: 23 Jan 2020
Posts: 239
GMAT ToolKit User Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 04:36
1
Kudos
c
1) 50,51, 52
2) 51,53
1+2=> 51
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1721
Location: United States
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 04:46
Quote:
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.

(2) x is odd.


(1) insufic
x: decimal or integer

(2) insufic
x: 51 or 53

(1/2) sufic
x=51


Ans (C)
User avatar
P
debjit1990
Senior Manager
Senior Manager
Joined: 26 Dec 2017
Posts: 301
Location: India
GMAT 1: 580 Q42 V27
Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 07:13
1
Kudos
it can be 50,51,52,53
a)not prime
so it can be 50,51,52

b)odd
can be 51,53

combine=51

Ans: C
User avatar
L
unraveled
CEO
CEO
Joined: 07 Mar 2019
Posts: 2547
Location: India
WE:Sales (Energy and Utilities)
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 08:42
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.
Possible integer values of x are 50, 51, 52 since 53 is prime number.
Three values hence.

INSUFFICIENT.

(2) x is odd.
Possible values of x are 51 and 53.

INSUFFICIENT.

Together 1 and 2.
Only 51 is left. x = 51

SUFFICIENT.

Answer C.
_________________
Pain + Reflection = Progress | Ray Dalio
Good Books to read prior to MBA
Signature Read More
User avatar
S
gurmukh
Senior Manager
Senior Manager
Joined: 18 Dec 2017
Posts: 270
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 09:02
1
Kudos
From 1, x= 50,51 or 52
From 2, x= 51 53
Combining both of them
X=51
Therefore answer is C

Posted from my mobile device
User avatar
D
lacktutor
Director
Director
Joined: 25 Jul 2018
Posts: 668
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 10:23
1
Kudos
If 49 < x < 54 what is the value of x?

(Statement1): x is not a prime number.
--> x could be 50,51 or 52 but not 53(prime)
Insufficient

(Statement2) x is odd.
--> x could be 51 or 53.
Insufficient

Taken together 1&2,
--> x must be only 51, which is odd and not prime number in 49 < x< 54
Sufficient

Answer (C).
User avatar
D
minustark
Senior Manager
Senior Manager
Joined: 14 Jul 2019
Status:Student
Posts: 478
Location: United States
Concentration: Accounting, Finance
Schools: Zicklin Baruch "22
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 10:32
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.

(2) x is odd.

Since x is not an integer, it can assume any value between 49 and 54. Statement 1 says x can be 50, 51 or 52 or any other number that is not prime. The only prime in this range is 53. Not suff.
Stmnt 2 says, x is odd. There are two odd integers, 51 and 53. Not suff.
Odd and non-prime features are applicable only to integers. So we can say x is 51. Suff.
C is the answer.
avatar
B
jimmyvithalani
Intern
Intern
Joined: 20 Jan 2020
Posts: 19
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 11:27
1
Kudos
From the question statement:
49 < x < 54, so x can be an integer like 50, 51 etc. or it can be decimal like 50.1, 50.11 etc.

Statement 1: x is not a prime number.
A prime number has to be an integer, which in our case is 53. But statement says NOT prime number. Then it can be 50,51,52 or many of the decimals.
NOT SUFFICIENT

Statement 2: x is odd.
Odd and even applies to integers only. But there are two in our range: 51 and 53
NOT SUFFICIENT

Statement 1 + Statement 2: x is odd and not a prime number
from 51 and 53 which we got from S2, 53 is prime and 51 is not prime.
SUFFICIENT

Ans: C
User avatar
P
pabpinor
Senior Manager
Senior Manager
Joined: 05 Aug 2019
Posts: 400
Location: Spain
Concentration: Strategy, Technology
Schools: Darden '23 CEIBS '22 (A$) LBS '23 INSEAD Jan'23 intake (A)
GMAT 1: 650 Q50 V28 (Online)
GMAT 2: 700 Q49 V37
GPA: 3.23
WE:General Management (Real Estate)
Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 16:35
1
Kudos
If 49 < x < 54 what is the value of x?

So we have that the possible values are all between 49 and 54, not necessarily integers, so infinite possibilities and we need to get the only one.

(1) x is not a prime number.

With (1), we just get that out of all those values (49.1; 50;...), the integer prime 51 would not be the one. Not sufficient.

(2) x is odd.

With this we get more information that seems, being odd means that our value can be only integer, so we reduced from infinite possibilities to just 2, 51 & 53.
Regardless of that, again, Not sufficient.

Finally, combining (1) & (2), we get that 53 would be the only possible value, so the answer would be C.

Regards,
Pablo
User avatar
D
gvij2017
Director
Director
Joined: 09 Aug 2017
Posts: 690
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 18:48
1
Kudos
given 49<x<54
Now x can be fraction or integer.
Statement 1 says that x is not prime. : 51, 52, 51.5, Not sufficient.
Statement 2 say: X is odd. Here we consider that x is odd integer.
51, 53.

St1 +2 will give you 51.
C is answer.
User avatar
L
globaldesi
VP
VP
Joined: 28 Jul 2016
Posts: 1213
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Investment Banking)
Reviews Badge
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 22:01
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.

(2) x is odd.
given
49 < x < 54
(1) x is not a prime number.
X can be anything but 53
Not sufficient

(2) x is odd.
x can be 51 or 53

Combined
x is odd indicates x is definitely an integer and its not prime
indicates x = 51
Thus C
_________________

Keep it simple. Keep it blank
Signature Read More
avatar
P
chaitralirr
Senior Manager
Senior Manager
Joined: 17 Mar 2019
Posts: 364
Location: India
Concentration: Healthcare, General Management
Schools:
GPA: 3.75
WE:Pharmaceuticals (Health Care)
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  02 Apr 2020, 23:11
1
Kudos
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.

(2) x is odd.

question find the value of X it could be 50, 51, 52 or 53

Statement 1:
x is not a prime number.
of all the numbers 53 is prime hence X could be 50, 51 or 52. Statement 1 is insufficient.

Statement 2
X is odd. X can be 51 or 53 hence insufficient

when combining these 2 statements

we get X can be 50, 51 or 52 but X is odd so X is 51

hence while combining we get a definite value.

IMO C
User avatar
G
preetamsaha
Senior Manager
Senior Manager
Joined: 14 Oct 2019
Status:Today a Reader; Tomorrow a Leader.
Posts: 346
Location: India
GPA: 4
WE:Engineering (Energy and Utilities)
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink] New post  03 Apr 2020, 19:46
If 49 < x < 54 what is the value of x?

(1) x is not a prime number.
--> x = {50, 50.2, 51, 52, 53.7, . . . . .} --> Insufficient

(2) x is odd.
--> x = {51, 53} --> Insufficient

Combining (1) & (2),
x = 51 ONLY --> Sufficient

Option C
GMAT Club Bot
gmatclubot
Re: If 49 < x < 54 what is the value of x? (1) x is not a prime number. [#permalink]
03 Apr 2020, 19:46
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92741 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions