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:
Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
If y = 0.jkmn, where j, k, m, and n each represent a nonzero digit of y, what is the value of y ?
(1) j < k < m < n. Many combinations are possible: 1<2<3<4, 2<3<4<5, 1<3<4<5, ... Not sufficient.
(2) j + a = k, k + a = m, and m + a = n, where j > a > 1.
Since \(j+a=k\) and \(j\) and \(k\) represent digits then \(a\) must be an integer.
Next, since \(j > a > 1\) then the least value of \(a\) is 2 and the least value of \(j\) is 3.
So, from \(j+a=k\) the least value of \(k\) is 3+2=5, from \(k + a = m\) the least value of \(m\) is 5+2=7 and from \(m + a = n\) the least value of \(n\) is 7+2=9.
Now, if our initial number, \(a\), is more than 2, 3 for example, then the values of all other variables will increase and \(n\) will become more than 9, which is not possible since each variable represents a single nonzero digit.
Hence: \(j=3\), \(k=5\), \(m=7\), and \(n=9\). Sufficient.
Re: If y = 0.jkmn, where j, k, m, and n each represent a nonzero
[#permalink]
Show Tags
16 Jan 2014, 03:36
I use this pattern: AD BCE
cross out what's incorrect.
(1) j<k<m<n --> could be 1,2,3,4 or 2,3,4,5 hence IS --> cross out AD
possible answers left: BCE
(2) j + a = k, k + a = m, and m + a = n, where j > a > 1
Since we're talking about units digit, every variable here is an integer. hence a is at least 2 and j at least 3. If you simplify the given expressions you get j+3a = n. If j = 3 and a = 2 we get n = 9, which is the highest possible value (0 is not an option). Hence you can calculate the other numbers. SUFFICIENT. Cross out C and E.
Left with answer B.
I basically followed the same approach as bunuel, but simplified the expressions first. Hope it's clear!
Re: If y = 0.jkmn, where j, k, m, and n each represent a nonzero
[#permalink]
Show Tags
18 Nov 2016, 21:41
Great Question Here y=0.jklm To get y we need j,k,l,m Statement 1 using test cases y=0.9876 y=0.8765 Clearly not sufficient Statement 2 This statement looks interesting Here j>1 and a=> (1,j) so least possible value of j is 3 a=2 => y=0.3579 Hmmm let j=4 a=2 => y=0.468[10]=> not posible as m is a single digit integer. hence the only possible value of y is 0.3579
Re: If y = 0.jkmn, where j, k, m, and n each represent a nonzero
[#permalink]
Show Tags
09 Dec 2017, 23:53
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
62% (01:56) correct 
