NEW HERE? LEARN MORE
close
It is currently 25 Mar 2023, 03:23
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

If the units digit of the three-digit positive integer k is nonzero

7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
tarek99
Director
Director
Joined: 21 Jul 2006
Posts: 784
If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  Updated on: 17 Jun 2015, 02:30
14
Kudos
97
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (01:40) correct 33% (01:55) wrong based on 1599 sessions

Hide Show timer Statistics

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.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by tarek99 on 09 Aug 2009, 12:22.
Last edited by Bunuel on 17 Jun 2015, 02:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88643
CAT Tests Forum Quiz Mode Top Member of the Month
If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  30 Mar 2010, 17:58
19
Kudos
11
Bookmarks
Expert Reply
If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?

k=abc, c not zero, question b=?

(1) The tens digit of k + 9 is 3:
    abc
    +9
    ---
    a3x

Tens digit of k+9, which is 3, gains 1 unit from c+9 (as c is not zero), hence b+1=3 --> b=2. Sufficient.

(2) The tens digit of k + 4 is 2
    abc
    +4
    ---
    a2x

Tens digit of k + 4, which is 2, may or may not gain 1 unit from c+4, hence either b+1=2 or b+0=2. Two different values for b. Not sufficient.

Answer: A.

Hope it's clear.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Community Reply
avatar
alwynjoseph
Manager
Manager
Joined: 17 Dec 2007
Posts: 76
Re: If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  09 Aug 2009, 12:35
7
Kudos
2
Bookmarks
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.

hence statement 1 alone is sufficient but not 2
General Discussion
avatar
bhanushalinikhil
Manager
Manager
Joined: 28 Jul 2009
Posts: 60
Location: India
Schools:NUS, NTU, SMU, AGSM, Melbourne School of Business
Re: If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  10 Aug 2009, 00:40
5
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.
avatar
B
roastedchips
Intern
Intern
Joined: 18 Apr 2013
Posts: 31
Re: If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  21 Jul 2018, 10:46
1
Bookmarks
Hi Bunuel, for statement 1, why can't b = 4?
How do I know that there is a carry forward of 1 from the units to the tens digit? Thanks!

Bunuel wrote:
Kiski wrote:
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.


If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?

k=abc, c not zero, question b=?

(1) The tens digit of k + 9 is 3:
abc
+9
---
a3x

Tens digit of k+9, which is 3, gains 1 unit from c+9 (as c is not zero), hence b+1=3 --> b=2. Sufficient.

(2) The tens digit of k + 4 is 2
abc
+4
---
a2x

Tens digit of k + 4, which is 2, may or may not gain 1 unit from c+4, hence either b+1=2 or b+0=2. Two different values for b. Not sufficient.

Answer: A.

Hope it's clear.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88643
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If the units digit of the three-digit positive integer k is nonzero [#permalink] New post  21 Jul 2018, 12:15
Expert Reply
roastedchips wrote:
Hi Bunuel, for statement 1, why can't b = 4?
How do I know that there is a carry forward of 1 from the units to the tens digit? Thanks!

Bunuel wrote:
Kiski wrote:
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.


If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?

k=abc, c not zero, question b=?

(1) The tens digit of k + 9 is 3:
abc
+9
---
a3x

Tens digit of k+9, which is 3, gains 1 unit from c+9 (as c is not zero), hence b+1=3 --> b=2. Sufficient.

(2) The tens digit of k + 4 is 2
abc
+4
---
a2x

Tens digit of k + 4, which is 2, may or may not gain 1 unit from c+4, hence either b+1=2 or b+0=2. Two different values for b. Not sufficient.

Answer: A.

Hope it's clear.


Because we are told that c is non-zero and anything other than 0 when added to 9 gives a carry over 1.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27099
Re: K is the three digit +ve integer, the unit digit is not "0", [#permalink] New post  24 Jan 2023, 03:26
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: K is the three digit +ve integer, the unit digit is not "0", [#permalink]
24 Jan 2023, 03:26
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10529 posts
Bunuel
Math Expert
88643 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions