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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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gmatbusters
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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gmatbusters
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

Answer: E

Cheers,
Brent­
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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
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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


TheFlash

I thought that too. But then values are in ascending order and not equidistant (AP).

There is a difference between 1,6,7,9,10 and 1,2,3,4,5.

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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.
(A) Just knowing the value of \(K\) tells us that \(L>3\) but we cannot determine a unique value for \(L\).

(B) Just knowing the value of \(M\) tells us that \(L<7\) but we cannot determine a unique value for \(L\).

Combining the two we get
\(3<L<7\) but we still cannot determine a unique value for \(L\) as \(L\) could be \(4\) or \(5\) or \(6\).

Hence, E.­
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1. S1

J(1/2), K(3/3), L(5/4), M(7/5)
Not Sufficient

2. S2
N(7/7), M(6/5), L(5/3), K(4/2),J(3/1)
Not Sufficient

3. Combine S1 & S2 NOT SUFFICIENT

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From considering 1) and 2) alone, we can't point out a definite value for L.
Now consider both 1 and 2 then, J>K=3> L> M=7> N

So L can be 4,5 or 6.
Hence Option E
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when they say values are in ascending order, do they mean that the values have the same distance among them too?
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Sa800
when they say values are in ascending order, do they mean that the values have the same distance among them too?
No.

Ascending order only means the numbers go from smallest to largest. It says nothing about equal spacing between them.
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