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:
The Competition Continues - Game of Timers is a team-based competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
23 Feb 2016, 03:33
Bunuel wrote:
For which of the following values of s is (50+s)/s an integer?
A. 3 B. 4 C. 9 D. 11 E. 50
Kudos for correct solution.
This problem has to be solved by checking the options
(50 + s)/s For this entity to be an integer, 50 + s should be divisible by s
Option A: 53/3 - Not an Integer Option B: 54/4 - Not an Integer Option C: 59/9 - Not an integer Option D: 61/11 - Not an integer Option E - 100/50 - Integer
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
28 Jul 2016, 12:41
3
Top Contributor
Bunuel wrote:
For which of the following values of s is (50+s)/s an integer?
A. 3 B. 4 C. 9 D. 11 E. 50
Let's apply a useful property of fractions that is OFTEN useful on the GMAT: (a + b)/c = a/c + b/c When we apply the rule, we get: (50+s)/s = 50/s + s/s = 50/s + 1 In order for 50/s + 1 to be an integer, 50 must be divisible by s
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
29 Jul 2016, 10:46
The only way to solve this efficiently is to check for the options. Also having done this => is there any divisibility rule for 11 that i am unaware about?
_________________
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
29 Jul 2016, 11:00
stonecold wrote:
The only way to solve this efficiently is to check for the options. Also having done this => is there any divisibility rule for 11 that i am unaware about?
yes, the best way to solve this question is to check for options.
Divisbility Rule of 11 : The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.
Example :
i) 292215 By rule, (9+2+5) - (2+2+1) = 11
ii) 760672 By rule, (6+6+2) - (7+0+7) = 0
Both the numbers can be divided by 11.
_________________
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
29 Jul 2016, 11:06
abhimahna wrote:
stonecold wrote:
The only way to solve this efficiently is to check for the options. Also having done this => is there any divisibility rule for 11 that i am unaware about?
yes, the best way to solve this question is to check for options.
Divisbility Rule of 11 : The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.
Re: For which of the following values of s is (50+s)s an integer?
[#permalink]
Show Tags
17 Jul 2017, 15:21
Ultimately we want to check if 50/s + 1 is an integer and that is only possible with option E, when s = 50.
Hence, Answer is E
Posted from my mobile device _________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."
Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475