GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2018, 16:14

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# If the two-digit integers A and B are positive and have the

Author Message
TAGS:

### Hide Tags

Senior Manager
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 496
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
If the two-digit integers A and B are positive and have the  [#permalink]

### Show Tags

18 Nov 2013, 11:19
2
1
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:30) correct 15% (01:23) wrong based on 177 sessions

### HideShow timer Statistics

If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B ?

(A) 108
(B) 120
(C) 132
(D) 144
(E) 156

oe to follow

MBA Section Director
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 5885
City: Pune
Re: If the two-digit integers A and B are positive and have the  [#permalink]

### Show Tags

18 Nov 2013, 11:29
3
avohden wrote:
If the two-digit integers A and B are positive and have the same digits,
but in reverse order, which of the following could be the sum of A and B ?

(A) 108
(B) 120
(C) 132
(D) 144
(E) 156

Two two-digit positive integers have the same digits but in reverse order

So they must be in the form 10x+y and 10y+x

Adding both of them will give us 11x+11y -----------> 11(x+y) -----------> that means 11 is the factor of sum

Among the answer choices only 132(choice C) has 11 as its factor and it is the possible sum of two integers A and B

Hope that helps!
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51121
Re: If the two-digit integers A and B are positive and have the  [#permalink]

### Show Tags

19 Nov 2013, 01:34
1
1
avohden wrote:
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B ?

(A) 108
(B) 120
(C) 132
(D) 144
(E) 156

oe to follow

Similar question to practice: s-and-t-are-two-digit-positive-integers-that-have-the-same-127393.html
_________________
Senior Manager
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 496
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: If the two-digit integers A and B are positive and have the  [#permalink]

### Show Tags

23 Nov 2013, 13:45
Official Explanation

Answer: C - It might be tempting to try a series of numbers until you find something that works, but there must be a deeper pattern the GMAT is asking you to discover.

Let's say the tens digit of A is x and the units of A is y. So if A is 73, x = 7 and y = 3. Algebraically, A = 10x + y. If the digits are reverse to create B, x is the units digit of B and y is the tens digit of B, meaning that B = 10y + x.

A + B
= (10x + y) + (10y + x)
= 11x + 11y
= 11(x + y)

Since x and y are digits, they must be integers, so the sum of x and y must be an integer. 11 times any integer is a multiple of 11, so we're looking for the choice that is a multiple of 11. You aren't expected to know multiples of 11 off the top of your head, so start with an easy one, like 110. Add 11: 121. Add 11 again: 132. That's choice (C), which is correct.
Non-Human User
Joined: 09 Sep 2013
Posts: 9138
Re: If the two-digit integers A and B are positive and have the  [#permalink]

### Show Tags

25 Oct 2017, 05:25
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 two-digit integers A and B are positive and have the &nbs [#permalink] 25 Oct 2017, 05:25
Display posts from previous: Sort by