It is currently 23 Jan 2018, 13:56

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The two-digit positive integer s is the sum of the two-digit positive

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

Hide Tags

1 KUDOS received
Intern
Intern
User avatar
Joined: 18 Dec 2017
Posts: 2
The two-digit positive integer s is the sum of the two-digit positive [#permalink]

Show Tags

New post 18 Dec 2017, 22:50
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

34% (00:57) correct 66% (01:37) wrong based on 29 sessions

HideShow timer Statistics

The two-digit positive integer s is the sum of the two-digit positive integers m and n. Is the units digit of s less than the units digit of m?

1) The units digit of s is less than the units digit of n
2) The tens digit of s is not equal to the sum of the tens digits of m and n.
[Reveal] Spoiler: OA
Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43380
The two-digit positive integer s is the sum of the two-digit positive [#permalink]

Show Tags

New post 18 Dec 2017, 23:16
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
The two-digit positive integer s is the sum of the two-digit positive integers m and n. Is the units digit of s less than the units digit of m?

AB
+
CD
__
EF

The question asks whether F < B.

The units digit of s (F) will be less than the units digit of m (B), or the units digit of n (D), if and only there is a carry over 1 from the units place to tens place. For example:
23
+
58
81

OR:
21
+
59
80

OR:
27
+
55
82



(1) The units digit of s is less than the units digit of n. F < D, hence there is a carry over 1 from the units place to tens place, thus F < B. Sufficient.

(2) The tens digit of s is not equal to the sum of the tens digits of m and n. This also implies that there is a carry over 1 from the units place to tens place, thus F < B. Sufficient.

Answer: D.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43380
Re: The two-digit positive integer s is the sum of the two-digit positive [#permalink]

Show Tags

New post 18 Dec 2017, 23:40
Bunuel wrote:
The two-digit positive integer s is the sum of the two-digit positive integers m and n. Is the units digit of s less than the units digit of m?

AB
+
CD
__
EF

The question asks whether F < B.

The units digit of s (F) will be less than the units digit of m (B), or the units digit of n (D), if and only there is a carry over 1 from the units place to tens place. For example:
23
+
58
81

OR:
21
+
59
80

OR:
27
+
55
82



(1) The units digit of s is less than the units digit of n. F < D, hence there is a carry over 1 from the units place to tens place, thus F < B. Sufficient.

(2) The tens digit of s is not equal to the sum of the tens digits of m and n. This also implies that there is a carry over 1 from the units place to tens place, thus F < B. Sufficient.

Answer: D.


Similar questions to practice:
https://gmatclub.com/forum/let-abc-and- ... 65421.html
https://gmatclub.com/forum/s-is-the-inf ... 97477.html
https://gmatclub.com/forum/if-x-y-and-z ... 39138.html

Check other Addition/Subtraction/Multiplication Tables problems from our Special Questions Directory

Theory: ALPHAMETIC QUESTIONS ON THE GMAT.

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: The two-digit positive integer s is the sum of the two-digit positive   [#permalink] 18 Dec 2017, 23:40
Display posts from previous: Sort by

The two-digit positive integer s is the sum of the two-digit positive

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.