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:

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

09 Aug 2009, 12:35

4

This post received KUDOS

tarek99 wrote:

If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

please show your solving.

thanks!

The answer is A.

Consider Statement 1:pick numbers to resolve it, if unit digit of k takes from 1 to 9, then adding nine would increase the tens digit by 1, hence it should be 2..sufficient to answer the question

Consider statement 2: if unit digit takes anything between 1 t0 5 , then on adding 4 tens digit remains the same. so in this case it would be 2, but if unit digit take from 6 to 9, tens digit would increase by 1, so this case its 1.

Schools: NUS, NTU, SMU, AGSM, Melbourne School of Business

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

10 Aug 2009, 00:40

3

This post received KUDOS

Lets say k=x,y,z.

All of x, y and z are in the range of 1-9 (Given). Find Tens Digit ie y.

Stmt 1 Says: K + 9 = gives a number with 3 as the tens digit. With that we can safely say that the Tens digit of k has to be 2. For eg let k be 121. Adding 9 will give 130. Similiarly, if k = 129, adding 9 will give 138. If we have k = 111, adding 9 will give 120 which goes against the stmt.

Stmt 2 : Not Suff as explained by alwynjoseph.

Hence, A.
_________________

GMAT offended me. Now, its my turn! Will do anything for Kudos! Please feel free to give one.

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

10 Aug 2009, 00:45

1

This post was BOOKMARKED

[quote="tarek99"]If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

k= xyz , z is not 0 what is y??

from 1 xyz + 009 ------- z is not 0 thus surely we carried one to add to y thus y = 2...suff

from 2 xyz + 004 -------

if 0<z<6 y = 3 if 6<=z<=9 thus y = 2 .............insuff

A, hi Tarek , i think it is easier to visualize it this way, hope it helps.

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

17 Oct 2009, 20:44

1

This post received KUDOS

1

This post was BOOKMARKED

The answer is A.

We know the following:

(a) k is a 3 digit positive integer (b) The units digit of k is NOT zero

Statement 1: The tens digit of k + 9 is 3.

If k + 9 has a tens digit of X, the only way k has a tens digit of X as well is if the units digit of k is zero. Since we know the units digit of k is NOT zero, the tens digit of k MUST be 2.

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

18 Oct 2009, 01:01

will go with A

Lets consider k = 100x + 10y +z where z is units digit and y is tens digit we know z is not equal to zero i.e z is b/w 1 and 9 inclusive we need to find y

1. tens digit of k + 9 is 3 ie z+9 will give the new value of y since z+9 gives y = 3 then y=2 before 9 is added to z (z is 1 to 9 inclusive) . hence suff

2. tens digit of k + 4 is 2 now if z= 6 or 7 or 8 or 9 then on adding 4, y value will get incremented by 1 so value of y (before adding 4 ) is 1 but if z is b/w 1 to 5 (inclusive) then value of y will not change and y will be equal to 2 hence insuff

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

09 Dec 2009, 11:06

Consider

x y z + + 9

Minimum value of z is 1. Maximum value of z is 9 In both cases if 9 is added to z, it will produce 1 as carry over to y (tens digit) If y becomes 3 after the addition, then it was 2 before the addition

Statement 1-----sufficient

Statement 2 is clearly insufficient, as we could have a carry from the Units digit and not have a carry (with the addition of 4). Each will give different result

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

27 Mar 2010, 09:58

nsp007 wrote:

If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

Pls. explain..

Unit digit has to be atleast 1. 1: k+9 so there will be a carry of 1 in tens digit always hence tens digit in original number is 2 hence sufficient. 2: k+4 can't say on carry to tens digit as unit digit of original number can be >6 or <6 hence insufficient.

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

30 Mar 2010, 08:33

bangalorian2000 wrote:

nsp007 wrote:

If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k? (1) The tens digit of k + 9 is 3. (2) The tens digit of k + 4 is 2.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

Pls. explain..

Unit digit has to be atleast 1. 1: k+9 so there will be a carry of 1 in tens digit always hence tens digit in original number is 2 hence sufficient. 2: k+4 can't say on carry to tens digit as unit digit of original number can be >6 or <6 hence insufficient.

Therefor A. Whats the OA.

I am unable to follow your reasoning.Could you please explain in detail ,how you infer that the tens digit is 2 in stmt 1.

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

30 Mar 2010, 19:16

Well, I plugged some numbers and got A. I) If k+9=38 (can't be 39 as k would have 0 as unit digit and also unit digit of k+9 can be from 0 to 8) then k=38-9=29 so the 10th digit for k is 2, that was if unit digit of k+9 is max which is 8. If, I take k+9=30 then k=21 and similarly for k+9=34, k would be 25 so the 10th digit is still 2. Same goes for 130 to 138 and 230 to 238 and so on. Hence A is sufficient, so cross out answer choices B,C, and E. Now we are left with options A & D. T check whether D can be an answer or not, we'll have to check out 2nd information. II) If k+4=28 (can't be 24 as this way we'll get 0 as unit digit for k) then k=24 and 10th digit for k is 2. Now if we take k+4 less than 24 suppose k+4=23 then k=19 and 10th digit for k is 1. So we can't be sure either 10th digit for k is 1 or 2, Hence Insufficient. Same goes for if k+4 is in hundreds or more. Now cross out D option and we are left with only option A. So Answer is A Hope it helps!
_________________

"I choose to rise after every fall" Target=770 http://challengemba.blogspot.com Kudos??

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

13 Aug 2011, 09:20

1

This post was BOOKMARKED

The question is fine I think.

Going by stmt 1: k+9 giving 3 in the tenths place would mean any number with two in the tenths place can give this. Sufficient. Going by stmt 2: k+4 giving 2 in tenths place would mean any number between 1 and 5 in the hundreds place would return the same number in the tenths place. Any number between 6 and 9 in the hundreds place would return the next value. Therefore insufficient.
_________________

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

14 Aug 2011, 05:53

i think A is the answer. if the units digit is non -zero, then no matter what it is, if u plus 9 , u will get 1. 1 +x =3 then the tens digit is 2 st2 cant help us to determine the tens digit
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

I am still on all gmat forums. msg me if you want to ask me smth

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

29 Jan 2012, 07:32

Let k =abc (c ≠ 0) question is b= ?

(1) As c ≠ 0, so b+9 means k+9, if k+9 then b = 3. it is possible if b = 2 only [123 + 9 = 132, 122+9= 131] sufficient (2) k+4 = b = 2, 118+4 = 122, b = 1 123 = 127 b= 2 Insufficient. Ans. A
_________________

Re: If the units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

16 Jan 2015, 05:24

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 units digit of the three-digit positive integer k is nonzero [#permalink]

Show Tags

16 Jun 2015, 23:19

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.
_________________

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...