Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
21 Dec 2018, 02:22
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
26% (01:51) correct
74%
(01:37)
wrong
based on 244
sessions
History
Date
Time
Result
Not Attempted Yet
If x is positive, is x prime?
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
21 Dec 2018, 03:40
Kudos
Bookmarks
Bunuel
If x is positive, is x prime?
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
Statement 1) if x is composite, say 10, x^3 will have different distinct positive integer factors. 10^3=(5^3*2^3)=(3+1)*(3+1)=16. It will have exactly four distinct positive integer factors when x is prime and also, it is given x is positive. Hence, Sufficient.
Statement 2) x^2-x-6=0. Breaking it down, (x-3)*(x+2)=0, x=3,-2, but x is positive. So, x=3, hence, prime. Sufficient.
Each is sufficient. IMO, Option D.
Darshi04
Joined: 08 Oct 2018
Last visit: 08 Apr 2019
Posts: 57
Given Kudos: 62
Location: India
Schools: Babson '22 Stanford '22 HEC '22
GPA: 4
WE:Brand Management (Healthcare/Pharmaceuticals)
22 Dec 2018, 07:37
Kudos
Bookmarks
Bunuel
If x is positive, is x prime?
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
(1) x^3 has exactly four distinct positive integer factors.
(2) x^2 - x - 6 = 0
I think there may be a gap in my conceptual understanding.
Statement 1: From what I understand distinct positive integer factors means number of factors of x^3
Consider 6^3
6 has 4 distinct factors, namely 1,2,3, & 6. Cube of 6 will have 1, 2, 3, 8(2^3), 4(2^2), 27(3^3), 9(3^2), 36(6^2), and 6^3, that is 9 distinct factors.
Is this understanding correct?
Consider 2^3
2 has 2 distinct factors: 2 & 1.
2^3 will have 8(2^3), 4, 2, &1, that is 4 distinct factors.
2 is a prime number. Hence statement (1) is sufficient.
Unable to understand why OA is B.
