I would go with E)
Stmt I INSUFF
2 ^ 2 = 4(EVEN)
3 ^ 2 = 9(ODD)
Stmt II INSUFF
2 ^ 3 = 8(even)
3 ^ 3 = 27(odd)
Stmt I and Stmt II put together still INSUFF
0 ^ 2 = 0 0 ^ 3 = 0 (EVEN)
1 ^ 2 = 1 1 ^ 3 = 1 (ODD)
INSUFF
Hope I dint miss something!
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
Tricky question - how squares and cubes relate
Source: Beat The GMAT — Data Sufficiency |
I believe we should go one step further. If we combine both statements, we can say that X is square of an integer as well as cube of an integer. We can have two values of X; 0 and 1. As both of these are integers, we can't determine a unique value of X and hence answer should be E.
GMAT/MBA Expert
-
Ian Stewart
- GMAT Instructor
- Posts: 2623
- Location: Montreal
- Thanked: 1090 times
- GMAT Score:780
The examples of 0 and 1 are certainly enough to prove that the answer is E, but we can have many different values of x here - not only 0 and 1. Indeed, any sixth power will do. For example, if x = 2^6 = 64, then x is the square of an integer (x = 8^2), and x is also the cube of an integer (x = 4^3). You could equally let x = 3^6, or 4^6, and so on.kumarkams wrote:I believe we should go one step further. If we combine both statements, we can say that X is square of an integer as well as cube of an integer. We can have two values of X; 0 and 1. As both of these are integers, we can't determine a unique value of X and hence answer should be E.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com
ianstewartgmat.com
ianstewartgmat.com
