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himanshuhpr
Joined: 29 Aug 2012
Last visit: 28 Nov 2014
Posts: 24
Given Kudos: 56
Schools: Babson '14
GMAT Date: 02-28-2013
Updated on: 29 Oct 2012, 04:18
Originally posted by himanshuhpr on 28 Oct 2012, 15:31.
Last edited by Bunuel on 29 Oct 2012, 04:18, edited 1 time in total.
Last edited by Bunuel on 29 Oct 2012, 04:18, edited 1 time in total.
Renamed the topic and edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
56% (02:43) correct
44%
(02:39)
wrong
based on 668
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If x is an integer, is 3^x less than 500?
(1) 4^(x–1) < 4^x – 120
(2) x^2 = 36
(1) 4^(x–1) < 4^x – 120
(2) x^2 = 36
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
29 Oct 2012, 04:18
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If x is an integer, is 3^x less than 500?
Since \(3^6=729>500\) and \(3^5=243<500\), then the question basically asks whether x is an integer less than 6 (5, 4, 3, 2, 1, 0, -1, ...).
(1) 4^(x–1) < 4^x – 120;
\(\frac{4^x}{4}<4^x-120\);
\(120<\frac{3}{4}*4^x\);
\(160<4^x\);
x is an integer greater than 3: 4, 5, 6, 7, ... Not sufficient.
(2) x^2 = 36 --> \(x=6\) or \(x=-6\). Not sufficient.
(1)+(2) From above \(x=6\), thus the answer to the question is NO. Sufficient.
Answer: C.
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https://gmatclub.com/forum/is-5-k-less- ... 28055.html
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Hope it helps.
Since \(3^6=729>500\) and \(3^5=243<500\), then the question basically asks whether x is an integer less than 6 (5, 4, 3, 2, 1, 0, -1, ...).
(1) 4^(x–1) < 4^x – 120;
\(\frac{4^x}{4}<4^x-120\);
\(120<\frac{3}{4}*4^x\);
\(160<4^x\);
x is an integer greater than 3: 4, 5, 6, 7, ... Not sufficient.
(2) x^2 = 36 --> \(x=6\) or \(x=-6\). Not sufficient.
(1)+(2) From above \(x=6\), thus the answer to the question is NO. Sufficient.
Answer: C.
Similar questions to practice:
https://gmatclub.com/forum/is-x-10-10-1 ... 27881.html
https://gmatclub.com/forum/is-5-k-less- ... 28055.html
https://gmatclub.com/forum/if-x-is-an-i ... 06353.html
https://gmatclub.com/forum/is-4-x-5-3x- ... 86765.html
https://gmatclub.com/forum/is-5-x-134898.html
https://gmatclub.com/forum/is-3-x-134968.html
Hope it helps.
04 Jun 2019, 23:22
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for both the value of x in statement 2 i.e -6 and 6, statement 3x<500 is yes. Then why isnt the answer b?
I see. we are interpreting the question differently. The main statement is 3x in the question not 3 RAISED TO THE POWER X.
If 3x, in that case answer is b otherwise its c.
I see. we are interpreting the question differently. The main statement is 3x in the question not 3 RAISED TO THE POWER X.
If 3x, in that case answer is b otherwise its c.
