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Difficulty:
85%
(hard)
Question Stats:
44% (02:23) correct
56%
(02:17)
wrong
based on 124
sessions
History
Date
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Not Attempted Yet
In the diagram above each of the letters represents one of the digits between 5 and 9, not inclusive. If each row and each column must be filled with distinct digits, what is the average of b, k and z?
(1) k + l = 13
(2) w + m = 16
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
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Digits = 6, 7 and 8
(b + k + z)/3 = ?
St1: k + l = 13 --> m = 8, z can be 6 or 7 and b can 6, 7 or 8.
Not Sufficient
St2: w + m = 16 --> w = m = 8 and b = 8
If k = 6 then z = 7 or If k = 7 then z = 6.
In either case (b + k + z)/3 = 21/3 = 7
Sufficient
Answer: B
(b + k + z)/3 = ?
St1: k + l = 13 --> m = 8, z can be 6 or 7 and b can 6, 7 or 8.
Not Sufficient
St2: w + m = 16 --> w = m = 8 and b = 8
If k = 6 then z = 7 or If k = 7 then z = 6.
In either case (b + k + z)/3 = 21/3 = 7
Sufficient
Answer: B
Answer is B.
k+l = 13 ; This tells us that K and L are 6 or 7. With this we could make twor scenarios which give us inconsistent answers ( two different averages)
8 6 7
7 8 6
6 7 8
or
6 8 7
8 7 6
7 6 8
w + m =16 ; This tells us w=m=8. Using this we can make up different arrangements of numbers but the diagonal will always have the same set of numbers.
8 7 6
6 8 7
7 6 8
or
8 6 7
7 8 6
6 7 8
Statement 2 is sufficient.
k+l = 13 ; This tells us that K and L are 6 or 7. With this we could make twor scenarios which give us inconsistent answers ( two different averages)
8 6 7
7 8 6
6 7 8
or
6 8 7
8 7 6
7 6 8
w + m =16 ; This tells us w=m=8. Using this we can make up different arrangements of numbers but the diagonal will always have the same set of numbers.
8 7 6
6 8 7
7 6 8
or
8 6 7
7 8 6
6 7 8
Statement 2 is sufficient.
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