May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day! May 27 10:00 PM PDT  11:00 PM PDT Special savings are here for Magoosh GMAT Prep! Even better  save 20% on the plan of your choice, now through midnight on Tuesday, 5/27
Author 
Message 
TAGS:

Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7363
GPA: 3.82

If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
Updated on: 21 Apr 2016, 17:36
Question Stats:
37% (01:52) correct 63% (02:50) wrong based on 28 sessions
HideShow timer Statistics
For positive integer x, if the sum of all the digit of x is 170 where x and y are positive integers and x=1020y, which of the following can be the value of y? A. 41 B. 47 C. 50 D. 55 E. 60 *A solution will be posted in two days.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $149 for 3 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Math Expert
Joined: 02 Aug 2009
Posts: 7684

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
20 Apr 2016, 05:50
MathRevolution wrote: If for positive integer x, y the sum of all the digit of x is 170 and x=1020y, which of the following can be the value of y?
A. 41 B. 47 C. 50 D. 55 E. 60
*A solution will be posted in two days. Hi, is the Q even possible!sum of digit of x is 170, even if I take all digits to be 9, x will have atleast 170/9 = 19 digits... now x and y are positive, so you mean  a 19 digit number 9999999.. = 1020  y, which will make y as ive.. Please relook into all the Q and amend accordingly..
_________________



CEO
Joined: 12 Sep 2015
Posts: 3724
Location: Canada

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
20 Apr 2016, 06:56
What does this mean: y the sum of all the digit of x is 170It sounds like you're saying that y is the sum of x's digits AND y is 170. Of course that makes no sense, since the objective is to find the value of y. Please clarify. Cheers, Brent
_________________
Test confidently with gmatprepnow.com



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7363
GPA: 3.82

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
21 Apr 2016, 17:37
GMATPrepNow wrote: What does this mean: y the sum of all the digit of x is 170 It sounds like you're saying that y is the sum of x's digits AND y is 170. Of course that makes no sense, since the objective is to find the value of y.
Please clarify.
Cheers, Brent Sorry for the incorrectness. I have modified the question.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $149 for 3 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Manager
Joined: 12 Jun 2015
Posts: 79

If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
Updated on: 21 Apr 2016, 19:06
I assumed the extra added 0 to 170 was erroneous.
Correction : I also assumed, in my deep slumber, that the equation looks like this x = 1120 y
So now,Considering the equation given to us is x = 1120  y and the options for value of y are also positive 2digit numbers, we can safely say that the sum of all the digit of x is 17
using the options provided, A. 41 x=1120  41 = 1079 adds up to 17 B. 47 x=1120  47 = 1073 adds up to 11 C. 50 x=1120  50 = 1070 adds up to 8 D. 55 x=1120  55 = 1065 adds up to 12 E. 60 x=1120  60 = 1060 adds up to 7
Correct Option : Unbelievably, it still gave unique answer, A
Originally posted by ronny123 on 21 Apr 2016, 18:37.
Last edited by ronny123 on 21 Apr 2016, 19:06, edited 1 time in total.



Intern
Joined: 04 Feb 2016
Posts: 13

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
21 Apr 2016, 18:57
How do you solve this?? It reads to me like ... X = 1020  Y The sum of the digits of X equals 170 The possible values of Y are: 41,47,50,55,60 Therefore, X equals: 979,973,970,965,960 Adding up the digits: 25,19,16,20,15
None of these numbers equal 170. Am I missing something?



Senior Manager
Status: Always try to face your worst fear because nothing GOOD comes easy. You must be UNCOMFORTABLE to get to your COMFORT ZONE
Joined: 15 Aug 2014
Posts: 280
Concentration: Marketing, Technology
GMAT 1: 570 Q44 V25 GMAT 2: 600 Q48 V25
WE: Information Technology (Consulting)

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
25 Apr 2016, 10:23
MathRevolution wrote: For positive integer x, if the sum of all the digit of x is 170 where x and y are positive integers and x=1020y, which of the following can be the value of y?
A. 41 B. 47 C. 50 D. 55 E. 60
*A solution will be posted in two days. Can you please post OE to this question
_________________
"When you want to succeed as bad as you want to breathe, then you’ll be successful.”  Eric Thomas
I need to work on timing badly!!



Intern
Joined: 18 Apr 2016
Posts: 1
GPA: 4
WE: Analyst (Commercial Banking)

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
25 Apr 2016, 22:33
Can somebody please shed some light on the solution.



Math Expert
Joined: 02 Aug 2009
Posts: 7684

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
25 Apr 2016, 22:41
praveen7728 wrote: Can somebody please shed some light on the solution. Hi, Light can be shed ONLY if the Q can have a solution The Q is of very poor quality OR I would say, it is not a Q at all.. No use wasting even seconds on it
_________________



Math Expert
Joined: 02 Aug 2009
Posts: 7684

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
25 Apr 2016, 23:15
praveen7728 wrote: Can somebody please shed some light on the solution. But let me tell you what could be a Q in this format and what could we make out of it.. x=1020y.. so x+y = 1020.. now sum of digits of 1020 = 3, so 1020 is div by 3 and therefore x+y also should be div by 3.. 1) It is given that sum of digits of x is 170 ofcourse not possible in given scenario, but I take it for oonce so x when div by 3 will give us a remainder of 2  170 = 1+7+0=8.. 8/3: R =2.. 2) that tells us that y as a number and also its sum of digits should give us 1 as a remainder when div by 3..so the choices should have ONLY one choice where the number is of type 3k+1..
_________________



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7363
GPA: 3.82

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
27 Apr 2016, 01:35
For positive integer x, if the sum of all the digit of x is 170 where x and y are positive integers and x=1020y, which of the following can be the value of y? A. 41 B. 47 C. 50 D. 55 E. 60 >10^20y=99999….9( )[ ] is derived. In this case, the number of the first digits of 9 is 18, which is 9*18=162. Also, the sum of all digits is 170. That is, it should be ( )+[ ]=170162=8. Then, one should be selected amongst y=29,38,47,56,6,5,74,83,92. Since 47 is in the option, the answer is B.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $149 for 3 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 01 Dec 2016
Posts: 1

Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
Show Tags
22 Jul 2017, 13:50
Hi,
Is this 10 to the power of 20 or 1020?
Thanks




Re: If for positive integer x, y the sum of all the digit of x is 170 and
[#permalink]
22 Jul 2017, 13:50






