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1AB +AB ___ CDE In the correctly-worked addition calculatio

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by alanforde800Maximus » Mon Oct 03, 2016 7:54 pm
1AB
+AB
___
CDE

In the correctly-worked addition calculation above, A, B, C, D, and E each represent single-digit integers. What is the value of C?

(1) A < 5
(2) B > 4

Please assist with above problem.
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Source: — Data Sufficiency |

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by [email protected] » Tue Oct 04, 2016 9:59 am
Hi alanforde800Maximus,

As 'weird' as this DS question might look, it's actually a fairly easy Number Property question - but only IF you do some work to discover the patterns involved. How did you go about trying to answer it? What work did you do? What did you write down?

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by DavidG@VeritasPrep » Tue Oct 04, 2016 12:15 pm
(Note, also, in this type of question, that it's often helpful to think about the minimum and maximum possible values one might generate.)
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by alanforde800Maximus » Wed Oct 05, 2016 7:15 am
[email protected] wrote:Hi alanforde800Maximus,

As 'weird' as this DS question might look, it's actually a fairly easy Number Property question - but only IF you do some work to discover the patterns involved. How did you go about trying to answer it? What work did you do? What did you write down?

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Statement 1:
A<5
The maximum carry over we can get from addition of two single digit numbers is 1.
Even if we get carry over of 1 from B+B, we cannot get a carry over from A+A since A is less than 5. For example, 4+4+1=9 gives no carry over.
So,there is no carry over from addition of A+A irrespective of the value of B. And c will be 1.
SUFFICIENT

Statement 2:
B>4
Doesn't provide any information about A.
INSUFFICIENT

Answer:- A


Looking for some concrete solution.
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by [email protected] » Wed Oct 05, 2016 9:20 am
Hi alanforde800Maximus,

Your solution is perfect - and you seem to understand the Number Properties involved, so you're all set on this question. When you say that you're looking for a 'concrete solution', what exactly do you want to see?

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