In the multiplication problem above, A, B, and C represent distinct : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 04:32

### 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 June
Open Detailed Calendar

# In the multiplication problem above, A, B, and C represent distinct

Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 Dec 2011
Posts: 64
GMAT 1: 630 Q48 V29
GMAT 2: 690 Q48 V37
Followers: 1

Kudos [?]: 34 [0], given: 24

In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

01 Jan 2012, 21:45
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:07) correct 29% (01:52) wrong based on 71 sessions

### HideShow timer Statistics

__2A
x__B
____
CC

In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 5, what is the value of C?

6
5
4
3
2

[Reveal] Spoiler: OA
Intern
Joined: 31 Dec 2011
Posts: 5
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

02 Jan 2012, 10:08
If A+B=5
assuming A and B are positive then A*B<10 (they could be either 1,2,3,4)
therefore
A*B=C
2*B=C
A+B=5

Three simple equations - divide the 1st/2nd --> A=2 plug it the 3rd --> B=3 --> C=6
Manager
Joined: 14 Dec 2011
Posts: 64
GMAT 1: 630 Q48 V29
GMAT 2: 690 Q48 V37
Followers: 1

Kudos [?]: 34 [0], given: 24

Re: In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

03 Jan 2012, 00:21
Does it not say that 2*A*B = C*C?...

how did you come up with:

A*B=C
2*B=C

Cheers!

Can a distinct digit not be 2.5? Or some other number like that?
Intern
Joined: 31 Dec 2011
Posts: 5
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

03 Jan 2012, 02:05
A and B have to be a non-negative integer --> distinct digit
The fact that the question shows you the multiplication in a vertical display gives you a strong hint on how to solve it.
Neither A nor B can be zero --> B=0 then the product is 0, A=0 -->b=5 2A*B=100
Hence A,B are between 1-9
Using a vertical multiplication (which yields the same result as a horizontal multiplication, just a matter of convenience) the product of the factors' unit digits equals to the unit digit of their product.
If the product is lower then 10 then it only has a unit digit.
That is the case here as the sum of the two factors (in this case A+B) equals 5 and they are both<>0.
Therefore A*B=C
For the same reason the tens digit is equal to B*2
Hence 2*B=C
The third equation is given
A+B=5

Hope this helps
Intern
Joined: 31 Dec 2011
Posts: 5
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

03 Jan 2012, 02:07
One thing I didn't simplify
A and B are between 1-9. since thier sum is 5 then they are between 1-4
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7125
Location: Pune, India
Followers: 2137

Kudos [?]: 13676 [0], given: 222

Re: In the multiplication problem above, A, B, and C represent distinct [#permalink]

### Show Tags

03 Jan 2012, 02:12
Impenetrable wrote:
__2A
x__B
____
CC

In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 5, what is the value of C?

6
5
4
3
2

No idea how to solve this, I think I do not understand the question!

The letters are placeholders for some specific digits. You need to plug in digits for the letters such that the multiplication relation holds. Also, a letter stands for the same digit in each occurrence i.e. the product is CC means both the digits of the product are the same.

In such questions, it is sometimes a good idea to look at the overall picture. A two digit number starting with 2 is multiplied by a single digit number to give CC i.e. 00 or 11 or 22 or 33 or 44 or 55 or 66 or 77 or 88 or 99
The only numbers out of these which can be obtained by multiplying 2A by B are 00 (If B = 0 but B and C must be distinct) or 22 (If A = 2 and B = 1 but A, B and C must be distinct), 44 (If A = 2 and B = 2 but again, A, B and C must be distinct) or 66 (If A = 2 and B = 3. Also, A + B = 5 so condition satisfied. This must be the answer.)

The multiplication will look like this:
__22
x__3
____
_66

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Re: In the multiplication problem above, A, B, and C represent distinct   [#permalink] 03 Jan 2012, 02:12
Similar topics Replies Last post
Similar
Topics:
In the above correctly worked addition sum, A,B,C and D represent diff 6 19 May 2016, 02:03
1 In the addition problem above, A and B represent digits in two differe 1 11 Dec 2015, 08:22
8 In the multiplication problem below, each capital letter represents a 9 04 Feb 2015, 07:57
61 In the addition shown above, A, B, C, and D represent 13 15 Oct 2013, 07:17
6 In the diagram above, points A, B, C, D, and E represent the 5 28 Apr 2012, 20:31
Display posts from previous: Sort by