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
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
18 Jun 2017, 13:08
E A) If X is not divisible by 2, it means that it is odd, hence (X+1)/2 is always an integer B) X/7 could be true if the X is 21, 63, 105... C) X^2/3 is always an integer 3^2/3=3 9^2/3=27 etc D) The same logic as in C. 3^3/3=9 E) Will never be an integer as X doesn't contain any even factor(not divisible by 2), while 24 has 3 2s
_________________
If you find my solution useful, hit the "Kudos" button
Re: If the integer x is divisible by 3 but not by 2, then which one of the
[#permalink]
Show Tags
21 Jun 2017, 00:53
for this to hold true, x is an odd multiple of 3
statement 1: x + 1 is even hence divisible by 3 - can be an integer statement 2: if x is 21, x/7 is an integer Statement 3: x^2/3 always an integer as x is a multiple of 3, so x^2 is a multiple of 3 Statement 4: same as above, x is a multiple of 3, x^3 is a multiple of 3 hence x^3/3 is an integer
Statement 5- correct answer- not an integer as 24 has two even integers and hence x is odd - CAN NEVER BE AN INTEGER
x is divisible by 3 and not by 2. So x is odd multiple of 3 so, lets get down to choices to check which one is an integer and which is not.
(A) x+1 is even and hence (x+1)/2 = I (B) x/7 may be an integer or may be not. We can't say anything based on the data available with us. (C) x^2 must be a multiple of 3. So, x^2/3 = I (D) x^3 must be a multiple of 3. So, x^3/3 = I (E) 24 = 2*2*2*3 since x is odd multiple of 3. x is not divisible by 24. Hence x/24 is not integer.
Answer E.
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store.
close
80% (01:16) correct 
