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.
May 0808:00 AM PDT
-08:30 AM PDT
Join the special YouTube live-stream for selecting the winners of GMAT Club MBA Scholarships sponsored by Juno live. Watch who gets these coveted MBA scholarships offered by GMAT Club and Juno.
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.
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
57% (02:44) correct
43%
(02:40)
wrong
based on 660
sessions
History
Date
Time
Result
Not Attempted Yet
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
29 Oct 2012, 04:18
Kudos
Bookmarks
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.
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.
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.
General Discussion
04 Jun 2019, 23:22
Kudos
Bookmarks
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.
