Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 05:27

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

What is the value of the two-digit number x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 07 Oct 2015, 06:31
10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

63% (00:54) correct 37% (00:58) wrong based on 445 sessions

HideShow timer Statistics


CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2960
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 07 Oct 2015, 06:56
Bunuel wrote:
What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


Question : If x= ab where a and b are tens and units digit respectively then find x?

Statement 1: a+b=4
x may be 13 or 22 or 31. Hence,
NOT SUFFICIENT

Statement 2: a-b = 2 or b-a=2
if a-b=2 then x = 31
if b-a=2 then x = 13. Hence,
NOT SUFFICIENT

Combining the two statements
x may still be 13 or 31
Hence,
NOT SUFFICIENT

Answer: option E
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Intern
Intern
User avatar
B
Status: Focus - Determination - Domination
Joined: 02 Mar 2015
Posts: 39
Location: India
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 07 Oct 2015, 06:59
1
Bunuel wrote:
What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


statement 1:
x can have following possible values
40
31
22
13

Insufficient

statement 2:
x can have following possible values
20
31
13
42
24
64
46
and so on

Insufficient

Combining statement 1 and statement 2
x can have values 31 and 13

Insufficient

Answer :E

13
_________________
Let's Rock!
Manager
Manager
User avatar
Joined: 21 Jun 2014
Posts: 126
Location: United States
Concentration: General Management, Strategy
GMAT 1: 630 Q45 V31
GPA: 3.4
WE: Engineering (Computer Software)
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 07 Oct 2015, 10:46
Tens digit=x One's digit=y
From A:
\(x+y=4\) so number can be 13,31,22
A is not sufficient

From B:
\(x-y=2\) so number can be 31 or \(y-x=2\) so number can be 13
B is not sufficient

Combining both of them together ,
number can be 13 or 31

E is the right answer.
_________________
Regards,
Manish Khare
"Every thing is fine at the end. If it is not fine ,then it is not the end "
Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 162
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 07 Oct 2015, 18:59
1
What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.

St 1 -- 13,31 ,40 etc ...

St 2 --- 13,31 , 42, 24 , etc

together

13, 31 -- hence e ans
_________________
Regards ,
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 11 Oct 2015, 07:16
Bunuel wrote:
What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for the value of the two-digit number x.

Given information in the question stem or diagram: x is a two-digit number.

Statement 1: The sum of the two digits is 4. There are only four two-digit numbers that have digits that total 4. They are 13, 22, 31, and 40. Since that allows for more than one value for x, this statement is not sufficient. Eliminate choices A and D.

Statement 2: The difference between the two digits is 2. This means that for the tens digit (T) and the units digit (U), either: T – U = 2, or U – T = 2. Many people confuse this statement and think that the tens digit must be larger, such as 64, where T – U = 2. However, 46 would also be acceptable since the difference between the digits is 2. Clearly this statement is not sufficient alone as there are many two-digit numbers where T – U = 2 or U – T = 2. Eliminate choice B.

Together: When taking the statements together it is best to start with the more limiting statement. Statement 1 only allows four values: 13, 22, 31, and 40. How many of these values are compatible with Statement 2? Two of them: 31 is T – U = 2; and 13 is U – T = 2. They each have a difference of 2. Since there are still two possible values for the two-digit number x, the correct answer is E. Note: This is a classic C vs. E problem. Almost everyone gets it down to choice C or E, but many people forget to differentiate between 13 and 31. (They either miss one in their list of possibilities for the first statement or assume that it must be 31 for the reasons discussed above.) Remember to do your best to exhaust all possibilities before picking answer C.
_________________
Intern
Intern
avatar
B
Joined: 24 May 2015
Posts: 1
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 05 Feb 2016, 16:51
1
I totally follow how you get to (e). but dsn't "1 minus 3" = -2??? If the test meant for us to consider 13, would it not have stated "the difference between the two digits is |2|"??? or am i overthinking.

Thanks
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 06 Feb 2016, 19:36
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


In the original condition, it is two-digit integer, which makes 2 variables. You need 2 equations in order to match with the number of equations. For 1) 1 equation, for 2) 1 equation, which is likely to make C the answer.
When 1) & 2), 13 and 31 are derived, which is not unique and not sufficient.
Therefore, the answer is E.


-> For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
_________________
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 $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
MBA Section Director
User avatar
V
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2560
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge
What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

Show Tags

New post 15 Jul 2018, 21:46
To the value of the two digit number x

Let x = ab where a represents the tens digit and b represents the units digit

x is a two digit number = > a \(\neq\) 0

Statement 1

The sum of two digits is 4.

=> a + b = 4

'x' can be 13 or 22, 40 or 31

Statement 1 is not sufficient

Statement 2

The difference between the two digits is 2 => |a-b| = 2

=> 'x' can be 53 or 35 or 97 etc

Statement 2 is not sufficient

Combining statements 1 and 2

From statement 1 we have possible values of 'x' 13 or 22, 40 or 31

=> 'x' can be 13 or 31

Statement 1 and 2 together are insufficient

Hence option E
_________________
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

Show Tags

New post 16 Jul 2018, 01:01
Bunuel wrote:
What is the value of the two digit number x ?

(1) The sum of two digits is 4.

(2) The difference between the two digits is 2.


Statement-1:-
Possible cased of two digits numbers x:- 13, 22, 31, and 40.
Insufficient.

Statement-2:-
Possible cased of two digits numbers x:- 13, 31,24,42,35,53 etc. (Tens digit-units digit=2 or Units digit-Tens digit=2)
Insufficient.

(1)+(2),
Possible cases: 13 & 31.
We have obtained more than one values of x.
Insufficient.

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1231
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 28 Nov 2018, 08:12
Intern
Intern
avatar
B
Joined: 12 Oct 2017
Posts: 2
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 28 Nov 2018, 21:35
even i am confused. It says the difference is 2 and not -2. so 31 is the only number with +2 difference. where am i going wrong
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1231
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 28 Nov 2018, 22:04
1
Intern
Intern
avatar
B
Joined: 12 Oct 2017
Posts: 2
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 28 Nov 2018, 22:11
thanks gmatbuster i got it now
Manager
Manager
User avatar
B
Joined: 30 Oct 2018
Posts: 63
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 29 Nov 2018, 10:53
1) x+y =4
can be many options - 1+3 , 3+1 , 2+2
2) x-y = 2 again can be many options
Combining on and two also will give us two options 13 or 31

hence E
_________________

----------------------------------
Plz Kudos! if my post helps....
Manager
Manager
avatar
B
Joined: 04 Oct 2017
Posts: 81
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 03 Dec 2018, 23:55
GMATinsight wrote:
Bunuel wrote:
What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


Question : If x= ab where a and b are tens and units digit respectively then find x?

Statement 1: a+b=4
x may be 13 or 22 or 31. Hence,
NOT SUFFICIENT

Statement 2: a-b = 2 or b-a=2

Hi,

I choose C as I felt in 13, difference of the digits is -2. How to remove this ambiquity????
if a-b=2 then x = 31
if b-a=2 then x = 13. Hence,
NOT SUFFICIENT

Combining the two statements
x may still be 13 or 31
Hence,
NOT SUFFICIENT

Answer: option E
Intern
Intern
avatar
B
Joined: 13 Nov 2018
Posts: 1
Re: What is the value of the two digit number x ? (1) The sum of two digi  [#permalink]

Show Tags

New post 06 Dec 2018, 03:12
Shouldn't we also consider the case where x = -13 or -31 as well as the positive counterparts?
In this case the answer would of course still be 'E', but thinking about other questions that might crop up where pos vs neg could make all the difference...

In the original statement I interpret the word 'value' to include positive or negative value. Can anyone comment?
Director
Director
User avatar
V
Joined: 27 May 2012
Posts: 814
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 21 Dec 2018, 07:04
1
Bunuel wrote:

Project DS Butler: Day 23: Data Sufficiency (DS45)


For DS butler Questions Click Here


What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


Dear Moderator,
Found this question, this same question seems to have been duplicated in the link below, you may wish to merge the same. Thank you.

https://gmatclub.com/forum/what-is-the- ... l#p2095102
_________________
- Stne
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
Re: What is the value of the two-digit number x?  [#permalink]

Show Tags

New post 21 Dec 2018, 07:16
stne wrote:
Bunuel wrote:

Project DS Butler: Day 23: Data Sufficiency (DS45)


For DS butler Questions Click Here


What is the value of the two-digit number x?

(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.


Kudos for a correct solution.


Dear Moderator,
Found this question, this same question seems to have been duplicated in the link below, you may wish to merge the same. Thank you.

https://gmatclub.com/forum/what-is-the- ... l#p2095102

_____________________
Topics Merged. Thank you.
_________________
GMAT Club Bot
Re: What is the value of the two-digit number x?   [#permalink] 21 Dec 2018, 07:16
Display posts from previous: Sort by

What is the value of the two-digit number x?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne