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Retired Moderator V
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If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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Question Stats: 86% (00:42) correct 14% (00:41) wrong based on 173 sessions

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Project DS Butler: Day 13: Data Sufficiency (DS26)

If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.

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Re: If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 13: Data Sufficiency (DS26)

If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.

I vote for E let J, K, L, M, and N be following numbers respectively 1, 2, 3, 4, 5

ST one not sufficient
ST two not sufficient

Combining both, still not sufficient L could be any number between 4 and 6 inclusive
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Re: If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 13: Data Sufficiency (DS26)

If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.

J, K, L, M, and N are positive integers in ascending order

(1) The value of K is 3.
L can have any value greater than 3
Not sufficient

(2) The value of M is 7.
L can have positive values, and if J=1 and K=2, L can have values from 3 to 6
Not sufficient

Both statements together K=3,M=7
L can have values between K and M, i.e. from 4 to 6
Not sufficient

Hence answer choice (E)

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Re: If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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IMO ans is Option E

Statement 1 says L>3
Statement 2 says L <7

Combining both we get L is between 3 and 7 hence L can be 4, 5 ,6 .
Thus not sufficient because of multiple values
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Re: If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 13: Data Sufficiency (DS26)

If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.

Statement 1 states L is more than 3
Statement 2 states L is less than 7

Combining both we will get L is between 3 and 7 hence L can be between 4 to 6 inclusive .
Thus not sufficient because L could be 4, 5, or 6.

Hence answer is Option E
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Re: If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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gmatbusters wrote:

Project DS Butler: Day 13: Data Sufficiency (DS26)

If, J, K, L, M, and N are positive integers in ascending order, what is the value of L?
(1) The value of K is 3.
(2) The value of M is 7.

Given: J, K, L, M, and N are positive integers in ascending order

Target question: What is the value of L?

Statement 1: The value of K is 3.
There are many scenarios that satisfy statement 1. Here are two:
Case a: J = 1, K = 3, L = 4, M = 7, N = 8. In this case, the answer to the target question is L = 4
Case b: J = 1, K = 3, L = 5, M = 7, N = 8. In this case, the answer to the target question is L = 5
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The value of M is 7.
There are many scenarios that satisfy statement 2. Here are two:
Case a: J = 1, K = 3, L = 4, M = 7, N = 8. In this case, the answer to the target question is L = 4
Case b: J = 1, K = 3, L = 5, M = 7, N = 8. In this case, the answer to the target question is L = 5
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: J = 1, K = 3, L = 4, M = 7, N = 8. In this case, the answer to the target question is L = 4
Case b: J = 1, K = 3, L = 5, M = 7, N = 8. In this case, the answer to the target question is L = 5
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
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If, J, K, L, M, and N are positive integers in ascending order, what  [#permalink]

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What if we apply Mean concept here. As 5 variables are in the ascending order. The Value of L can be identified by knowing K and M.

L = (K+M)/2 If, J, K, L, M, and N are positive integers in ascending order, what   [#permalink] 25 Aug 2019, 04:22
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