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08 Jan 2022, 12:42
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If z cubed (z^3) is an even number, then is always true that z is even? Is there a rule?
thank you
thank you
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08 Jan 2022, 13:06
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arixlove
Hello, arixlove. I would suggest you check out the Quant Forum for posts on theory that may be useful to you. Two that come to mind are The Ultimate GMAT Quantitative Megathread and All You Need for Quant. This sort of question would fit into the Number Properties category. To answer your query, no, unless you knew that z was an integer, there would be no way of telling whether it was an even number when not cubed. For instance, the cube root of 2 is NOT even—it is 1.[something], an irrational number—but the cube root of 2, cubed, is, of course, even (2). It is worth knowing number properties that pertain to odds and evens and negatives and positives, to name just two.
Good luck with your studies.
- Andrew
08 Jan 2022, 20:24
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Let us take z^3 = 2 ; then z = (2)^(1/3) which is not an even number.
But if we take z^3 = 8; then z = 8^(1/3) = 2 which is an even number.
Therefore, we can conclude that if a number is even, its cube is also even but reverse may not be always true.
But if we take z^3 = 8; then z = 8^(1/3) = 2 which is an even number.
Therefore, we can conclude that if a number is even, its cube is also even but reverse may not be always true.
arixlove
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
