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In the problem below, AB, CD, and EF are two-digit numbers,

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In the problem below, AB, CD, and EF are two-digit numbers, [#permalink]

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In the problem below, AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.

Is F prime?

A B
+ C D
______
E F

(1) B and D are consecutive integers.
(2) C = 8.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 24 Dec 2013, 02:07, edited 1 time in total.
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Re: In the problem below, AB, CD, and EF are two-digit numbers, [#permalink]

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1) B and D are consecutive integers.

B + D = F, so possible chioces are:
1+2=3
2+3=5
3+4=7
4+5=9
5+6=1
6+7=3
7+8=5
8+9=7

1) on its own is insufficient. 9 is not prime.



2) C = 8.

If C = 8, then A must equal 1. Otherwise, E will be greater than 9.
So C = 8 implies A = 1 and E = 9.

Still, this doesn't give enough information about F.
B and D could be 2 and 4, in which case F is 6 and not prime, or B and D could be 1 and 2, in which case F is 3, prime.



1) B and D are consecutive integers and 2) C = 8.

Looking at the possible choices from 1) given the constraint of 2), we can eliminate anything that has 1, 8, or 9. So the remaining possible choicse for B + D = F are:
2+3=5
3+4=7
6+7=3

Note, it can't actually be 6+7, because then there will be a carry over. But either way, 5 and 7 ae both prime.

Thus, answer is C - both statements are sufficient to answer the question.
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Re: In the problem below, AB, CD, and EF are two-digit numbers, [#permalink]

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Re: In the problem below, AB, CD, and EF are two-digit numbers, [#permalink]

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New post 21 Sep 2016, 03:09
Hello from the GMAT Club BumpBot!

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Re: In the problem below, AB, CD, and EF are two-digit numbers, [#permalink]

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New post 23 Sep 2017, 03:37
Hello from the GMAT Club BumpBot!

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Re: In the problem below, AB, CD, and EF are two-digit numbers,   [#permalink] 23 Sep 2017, 03:37
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