What is the value of x?
(1) x has exactly 3 factors.
(2) 10 < x < 45
OA C
Source: Veritas Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
What is the value of x?
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Statement 1:BTGmoderatorDC wrote:What is the value of x?
(1) x has exactly 3 factors.
(2) 10 < x < 45
To have exactly 3 positive factors, x must be the square of a prime number.
Factors of x=2²=4:
1, 2, 4
Factors of x=3²=9:
1, 3, 9
Factors of x=5²=25:
1, 5, 25.
Since x can be different values, INSUFFICIENT.
Statement 2:
Clearly INSUFFICIENT.
Statements combined:
x must be the square of prime number such that 10 < x < 45.
Only the blue case above is viable.
Thus, x=25.
SUFFICIENT.
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Note that a prime number has 3 factors, a perfect square of a prime number has three factors, a perfect square of a non-prime number and others has more than three factors.BTGmoderatorDC wrote:What is the value of x?
(1) x has exactly 3 factors.
(2) 10 < x < 45
OA C
Source: Veritas Prep
1. Prime number: Say 2, 3, 5, 7, 11. All have two factors.
2. Perfect square of prime numbers: Say 4, 9, 25, 49, etc. All have three factors.
3. Perfect square of nonprime numbers: Say 16, 36, 64, etc. All have more than three factors.
4. Others: Say 6, 8, 10, etc. All have more than three factors.
Needless to state that each statement alone is insufficient.
Only one number in the range 10 < x < 45 qualifies, i.e., x = 25.
The correct answer: C
Hope this helps!
-Jay
_________________
Manhattan Review
Locations: Manhattan Review Jayanagar | GMAT Prep Jayanagar | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
