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.
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:
In the multiplication above, each letter stands for a different non-zero digit, with A x B < 10. What is the two-digit number AB?
(A) 23 (B) 24 (C) 25 (D) 32 (E) 42
Show your best approach
A two digit number multiplied by another two digit number creating a 4 digit number. if we maximize one number to 99, we would realize that minimum value of another number would be atleast 11. (because 11*99 = 999). Further more A*B < 10 So we can list down the possible numbers. 13, 14, 15, 16, 17, 18, 19 20, 21, 22, 23, 24 30, 31, 32, 33 40, 41, 42 50, 51 60, 61 ...
Now if we look at the options we would realize that only 23, 24, 32, 42 are in the options. So we can eliminate all other cases. Furthermore option C (25) is not in our list, so we can eliminate option C
Here we should understand that when AB is multiplied by CA, units digit is C which is also the value of A*B.
23 :- A = 2, B = 3, C = 6 (23*62) = --26 --------> Tens digit of four digit number (i.e.2) is not the same as B, Eliminate 32 :- A = 3, B = 2, C = 6 (32*63) = --16 --------> Tens digit of four digit number (i.e.1) is not the same as B, Eliminate 24 :- A = 2, B = 4, C = 8 (24*82) = --68 --------> Tens digit of four digit number (i.e.6) is not the same as B, Eliminate 42 :- A = 4, B = 2, C = 8 (42*84) = --28 --------> Tens digit of four digit number (i.e.6) is same as B, Bingo.. GO for Choice E
_________________
Re: In the multiplication above, each letter stands for a differ
[#permalink]
Show Tags
20 Oct 2013, 09:09
1
AB x CA --------- DEBC
The fastest way is to look at answers. 2*5=10 means it doesnt work. We're left with 2*3, 2*4,3*2 and 4*2. Start those kinds of questions from E. 42 * C4 > gives us unit digit (C) of DEBC, which is 2*4=8 (B*A=C). Knowing C we know entire AB*CA = 42*84=3528. Check, if B in DEBC=B in AB. Turns out it is. Check other answers, they will prove that answer is E.
In the multiplication above, each letter stands for a different non-zero digit, with A x B < 10. What is the two-digit number AB?
(A) 23 (B) 24 (C) 25 (D) 32 (E) 42
Show your best approach
A two digit number multiplied by another two digit number creating a 4 digit number. if we maximize one number to 99, we would realize that minimum value of another number would be atleast 11. (because 11*99 = 999). Further more A*B < 10 So we can list down the possible numbers. 13, 14, 15, 16, 17, 18, 19 20, 21, 22, 23, 24 30, 31, 32, 33 40, 41, 42 50, 51 60, 61 ...
Now if we look at the options we would realize that only 23, 24, 32, 42 are in the options. So we can eliminate all other cases. Furthermore option C (25) is not in our list, so we can eliminate option C
Here we should understand that when AB is multiplied by CA, units digit is C which is also the value of A*B.
23 :- A = 2, B = 3, C = 6 (23*62) = --26 --------> Tens digit of four digit number (i.e.2) is not the same as B, Eliminate 32 :- A = 3, B = 2, C = 6 (32*63) = --16 --------> Tens digit of four digit number (i.e.1) is not the same as B, Eliminate 24 :- A = 2, B = 4, C = 8 (24*82) = --68 --------> Tens digit of four digit number (i.e.6) is not the same as B, Eliminate 42 :- A = 4, B = 2, C = 8 (42*84) = --28 --------> Tens digit of four digit number (i.e.6) is same as B, Bingo.. GO for Choice E
How did you know to start plugging in numbers and not try and solve this through theory?
Re: In the multiplication above, each letter stands for a differ
[#permalink]
Show Tags
06 Mar 2016, 19:05
irda wrote:
AB x CA --------- DEBC
In the multiplication above, each letter stands for a different non-zero digit, with A x B < 10. What is the two-digit number AB?
(A) 23 (B) 24 (C) 25 (D) 32 (E) 42
I started first with: 30x30 = 900...so to be 4 digit number, the two numbers must be >30... A - 23*32 - well..definitely less than 900. so out B = 24*X2 = 8 so X must be 8..but if we check further, B is not what we need. so out C = 25*X2 = C=0, but C can't be 0 so out D = 32*X3 = 6, so C=6, but 32*63 = gives different values for B so out only E remains..
Re: In the multiplication above, each letter stands for a differ
[#permalink]
Show Tags
11 Aug 2018, 11:15
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.
_________________
close
68% (03:00) correct 
