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06 Oct 2021, 05:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
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Question Stats:
45% (02:28) correct
55%
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wrong
based on 151
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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.
Is F prime?
A B
+ C D
______
E F
(1) B and D are consecutive integers.
(2) C = 8.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 Oct 2021, 06:02
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(1) B and D are consecutive integers.
Hence the following combinations are possible
1,2 = 3 (Prime)
2,3 = 5 (Prime)
3,4 = 7 (Prime)
4,5 = 9 (Non-Prime)
5,6 = 11 (Prime)
Here we get both prime and non prime hence insufficient
(2) C = 8.
If C is 8 then A has to be 1 with no carry over from ones digits. In that case the below combinations for B and D are valid
1,2 = 3 (Prime)
2,3 = 5 (Prime)
3,4 = 7 (Prime)
4,5 = 9 (Non-Prime)
For the above combination it is not sufficient
Even combining, we get prime and non prime numbers for F hence Option E
Hence the following combinations are possible
1,2 = 3 (Prime)
2,3 = 5 (Prime)
3,4 = 7 (Prime)
4,5 = 9 (Non-Prime)
5,6 = 11 (Prime)
Here we get both prime and non prime hence insufficient
(2) C = 8.
If C is 8 then A has to be 1 with no carry over from ones digits. In that case the below combinations for B and D are valid
1,2 = 3 (Prime)
2,3 = 5 (Prime)
3,4 = 7 (Prime)
4,5 = 9 (Non-Prime)
For the above combination it is not sufficient
Even combining, we get prime and non prime numbers for F hence Option E
06 Oct 2021, 06:40
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sanjitscorps18
Be careful. If A = 1, B = 4, C = 8 and D = 5, then the sum is 99, and we're told A, B, C, D, E and F represent distinct digits from 1 to 9.
