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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

If the sum of the digits of the positive two-digit number x [#permalink]

Show Tags

31 Jan 2012, 18:15

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

65% (01:00) correct
35% (01:02) wrong based on 279 sessions

HideShow timer Statistics

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

(1) x is odd. (2) Twice the value of x is less than 44.

As OA is not given, I have got B. Please can I request to see my solution below and confirm whether its correct or not ?

Statement 1 --> x is ODD so x can be 13 and 31. Two values, therefore insufficient.

Statement 2 --> When x is 13 then twice the value will be 26 and when x is 31 it will be 62. But x cannot be 62 as the statement 2 says Twice the value of x is less than 44. Therefore x has to be 13. Hence B is my answer choice.

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

(1) x is odd. (2) Twice the value of x is less than 44.

As OA is not given, I have got B. Please can I request to see my solution below and confirm whether its correct or not ?

Statement 1 --> x is ODD so x can be 13 and 31. Two values, therefore insufficient.

Statement 2 --> When x is 13 then twice the value will be 26 and when x is 31 it will be 62. But x cannot be 62 as the statement 2 says Twice the value of x is less than 44. Therefore x has to be 13. Hence B is my answer choice.

If the sum of the digits of the positive two-digit number x is 4, what is the value of x?

x can take the following 4 values: 13, 31, 22, or 40.

(1) x is odd --> x can still take two values: 13 or 31. Not sufficient.

(2) Twice the value of x is less than 44 --> only 13 satisfies this statement, so x=13. Sufficient.

Answer: B.

P.S. Your solution seems fine, except there are 4 values of x possible not just 2 (though this doesn't affect the answer in our case).

Re: Sum of Digits of Positive 2 two-digit number [#permalink]

Show Tags

27 May 2012, 21:51

Hi aazhar,

The questions states that x is a two digit number, which can be in form of ab (\(a>0, b >=0\)) Also, a+b=4

using (1), x is odd => b is odd; (a,b) = (1,3),(3,1), two possibilities. Insufficient.

using (b), \(2x < 44\) or \(x < 22\) numbers will be 11,12,13,14,15,16,17,18,19,20,21 out of which only 13 has sum of digits as 4. x is 13. Sufficient.

If we make 10th place digit as zero, the number reduces to single digit. (and thus, it can't be 04)

We are told that x is a two-digit integer, whereas 04 is just 4 so its a single-digit integer. For a complete solution please refer to the posts above.
_________________

Re: If the sum of the digits of the positive two-digit number x [#permalink]

Show Tags

27 Oct 2014, 08:36

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.
_________________

Re: If the sum of the digits of the positive two-digit number x [#permalink]

Show Tags

14 Feb 2015, 04:25

Great! What I did was to assign values for x and its digits like this:

x=ab. We know from the stem that a+b=4.

[1] x is odd. NS, as there are 2 options. There are 5 ways in which a+b=4, namely: 4+0, gives the 2 digit #40, even 3+1, gives the 2 digit #31, odd 2+2, gives the 2 digit #22, even 1+3, gives the 2 digit #13, odd 0+4, gives the #4, single digit and even

[2] 2x<44 --> x<22. NS, as there are multiple options.

Re: If the sum of the digits of the positive two-digit number x [#permalink]

Show Tags

20 Mar 2016, 23:39

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.
_________________

After days of waiting, sharing the tension with other applicants in forums, coming up with different theories about invites patterns, and, overall, refreshing my inbox every five minutes to...

I was totally freaking out. Apparently, most of the HBS invites were already sent and I didn’t get one. However, there are still some to come out on...

In early 2012, when I was working as a biomedical researcher at the National Institutes of Health , I decided that I wanted to get an MBA and make the...