GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Sep 2018, 08:11

### 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

we will pick new questions that match your level based on your Timer History

Track

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

# What is the value of the 2-digit positive integer n if its tens digit

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6242
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the value of the 2-digit positive integer n if its tens digit  [#permalink]

### Show Tags

07 Sep 2018, 01:17
00:00

Difficulty:

35% (medium)

Question Stats:

69% (00:49) correct 31% (01:10) wrong based on 52 sessions

### HideShow timer Statistics

[Math Revolution GMAT math practice question]

What is the value of the 2-digit positive integer n if its tens digit is four times its units digit?

1) n is an even number
2) The units digit of n is greater than 1

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself"  Math Revolution Discount Codes Economist GMAT Tutor Discount Codes e-GMAT Discount Codes Manager Joined: 11 Aug 2016 Posts: 224 Re: What is the value of the 2-digit positive integer n if its tens digit [#permalink] ### Show Tags 07 Sep 2018, 03:08 1 MathRevolution wrote: [Math Revolution GMAT math practice question] What is the value of the 2-digit positive integer n if its tens digit is four times its units digit? 1) n is an even number 2) The units digit of n is greater than 1 Two digit positive integer will be of the form 10x+y, where both x, are single digit integers(ofcourse x can not be equal to 0) Lets analyse the argument: $$x=4*y$$ X Y 0 0- case 1 4 1- Case 2 8 2- Case 3 Case 1 is out of scope since, it will practically result to 0, which is not a 2 digit number. Hence, There are only 2 cases possible cases, two possible pairs of x,y: (4,1) & (8,2) Statement 1: n is an even number this means y is even. Thus Y is 2 and our number is 82. Sufficient. Statement 2:The units digit of n is greater than 1 This again leaves us with only 1 possible case. y=2. Hence our number is 82. Sufficient. Answer: D _________________ ~R. If my post was of any help to you, You can thank me in the form of Kudos!! CEO Joined: 12 Sep 2015 Posts: 2904 Location: Canada Re: What is the value of the 2-digit positive integer n if its tens digit [#permalink] ### Show Tags 07 Sep 2018, 07:59 Top Contributor MathRevolution wrote: [Math Revolution GMAT math practice question] What is the value of the 2-digit positive integer n if its tens digit is four times its units digit? 1) n is an even number 2) The units digit of n is greater than 1 Target question: What is the value of the 2-digit positive integer n Given: Its tens digit is four times its units digit This is VERY LIMITING information. In fact, this tells us that EITHER n = 41 OR n = 82 There are no other possible values of n. Statement 1: n is an even number We already know that n is either 41 or 82 So, statement 1 tells us that n must equal 82 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: The units digit of n is greater than 1 We already know that n is either 41 or 82 So, statement 2 tells us that n must equal 82 Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent _________________ Brent Hanneson – GMATPrepNow.com Sign up for our free Question of the Day emails Senior Manager Joined: 17 Mar 2014 Posts: 382 What is the value of the 2-digit positive integer n if its tens digit [#permalink] ### Show Tags 07 Sep 2018, 21:34 GmatDaddy wrote: MathRevolution wrote: [Math Revolution GMAT math practice question] What is the value of the 2-digit positive integer n if its tens digit is four times its units digit? 1) n is an even number 2) The units digit of n is greater than 1 Two digit positive integer will be of the form 10x+y, where both x, are single digit integers(ofcourse x can not be equal to 0) Lets analyse the argument: $$x=4*y$$ X Y 0 0- case 1 4 1- Case 2 8 2- Case 3 Case 1 is out of scope since, it will practically result to 0, which is not a 2 digit number. Hence, There are only 2 cases possible cases, two possible pairs of x,y: (4,1) & (8,2) Statement 1: n is an even number this means y is even. Thus Y is 2 and our number is 82. Sufficient. Statement 2:The units digit of n is greater than 1 This again leaves us with only 1 possible case. y=2. Hence our number is 82. Sufficient. Answer: D Question says positive Integer. 0 is neither +ve nor -Ve so case 1 will not be considered at all. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6242 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the value of the 2-digit positive integer n if its tens digit [#permalink] ### Show Tags 09 Sep 2018, 18:25 => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. The only positive two-digit integers n satisfying the original condition are 82 and 41. Condition 1) is sufficient since 82 is the only one of these integers that is even. Condition 2) is also sufficient, since 82 the only one of these integers with a units digit that is greater than 1. Therefore, D is the answer. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: What is the value of the 2-digit positive integer n if its tens digit &nbs [#permalink] 09 Sep 2018, 18:25
Display posts from previous: Sort by

# What is the value of the 2-digit positive integer n if its tens digit

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.