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aniketb
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 07 May 2014, 01:31
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35% (medium)

Question Stats:

67% (01:16) correct 33% (01:30) wrong based on 245 sessions

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Is x > 0?

(1) 3^x is an integer
(2) x^2 < x
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B
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Bunuel
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 07 May 2014, 01:43
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Is x > 0?

(1) 3^x is an integer. x can be 0 or an integer greater than 0. Not sufficient.

(2) x^2 < x. This implies that 0 < x < 1. Sufficient.

Answer: B.
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aniketb
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 07 May 2014, 02:36
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Thanks Bunuel, I tend to do the silly mistakes on ineuality problems, just as I did here. I read the 2nd statement and kept thinking about -ve numbers (X^2 >X ). :o Any suggestion from yourside to avoid this kind of mistakes?
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 07 May 2014, 02:39
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Thanks Bunuel, I tend to do the silly mistakes on ineuality problems, just as I did here. I read the 2nd statement and kept thinking about -ve numbers (X^2 >X ). :o Any suggestion from yourside to avoid this kind of mistakes?
Show more

Study basics and practice.

Theory on Inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html

All DS Inequalities Problems to practice: search.php?search_id=tag&tag_id=184
All PS Inequalities Problems to practice: search.php?search_id=tag&tag_id=189

700+ Inequalities problems: inequality-and-absolute-value-questions-from-my-collection-86939.html
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 07 May 2014, 23:44
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aniketb
Thanks Bunuel, I tend to do the silly mistakes on ineuality problems, just as I did here. I read the 2nd statement and kept thinking about -ve numbers (X^2 >X ). :o Any suggestion from yourside to avoid this kind of mistakes?

Study basics and practice.

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Thanks alot for help Bunuel, I will study these and keep posting the doubts... :thumbup:
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 23 Apr 2023, 01:47
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Bunuel
Is x > 0?

(1) 3^x is an integer. x can be 0 or an integer greater than 0. Not sufficient.

(2) x^2 < x. This implies that 0 < x < 1. Sufficient.

Answer: B.
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For S2, I did the following:

x^2 < x

x^2 - x < 0

x (x - 1) < 0

Therefore, x < 0 or x < 1.

What am I doing wrong? Bunuel
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Bunuel
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 23 Apr 2023, 01:55
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achloes
Bunuel
Is x > 0?

(1) 3^x is an integer. x can be 0 or an integer greater than 0. Not sufficient.

(2) x^2 < x. This implies that 0 < x < 1. Sufficient.

Answer: B.

For S2, I did the following:

x^2 < x

x^2 - x < 0

x (x - 1) < 0

Therefore, x < 0 or x < 1.

What am I doing wrong? Bunuel
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The statement "x < 0 or x < 1" is ambiguous and does not clearly specify the range of values that satisfy the inequality x^2 < x. This statement suggests that the solution to the inequality includes all values of x that are less than 0, as well as all values of x that are less than 1, which is contradictory.


9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 23 Apr 2023, 21:53
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Is x > 0?

(1) 3^x is an integer
At x=0, 3^x=1 (which is also an integer). Clearly, statement 1 is insufficient

(2) x^2 < x
This is the characteristic property for all positive values between 0 and 1 (exclusive) or in mathematical terms, this is true for all values between 0<x<1. Therefore x is definitely greater than 0. This statement is sufficient
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Is x > 0? (1) 3^x is an integer (2) x^2 < x 25 Jul 2024, 17:43
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