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01 Jun 2019, 12:54
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Difficulty:
25%
(medium)
Question Stats:
74% (01:37) correct
26%
(01:59)
wrong
based on 194
sessions
History
Date
Time
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Not Attempted Yet
K------------ L--------------------------M-----------------------N
In the figure above, is MN > LM ?
(1) KM > LN
(2) KL = LM
In the figure above, is MN > LM ?
(1) KM > LN
(2) KL = LM
01 Jun 2019, 19:37
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K------------ L--------------------------M-----------------------N
In the figure above, is MN > LM ?
KM > LN
KL+LM>LM+MN.....KL>MN
Insuff
KL = LM
Nothing about MN insuff
Combined
(KL=LM)>MN....LM>MN
suff
C
In the figure above, is MN > LM ?
KM > LN
KL+LM>LM+MN.....KL>MN
Insuff
KL = LM
Nothing about MN insuff
Combined
(KL=LM)>MN....LM>MN
suff
C
03 Jun 2019, 14:52
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Hmmm this question is a bit ambiguous. If the diagram is of the number line then we know that K < L < M < N. But the question does not mention this. So I do not think we can assume this.
Let us try solving this with the assumption that the figure is of the number line, so we know that K < L < M < N. The question asks us if MN > LM.
Simplifying the question stem we get MN - LM > 0 -----> M(N - L) > 0.
Now since L < N from the number line, we have L - N < 0 ----> N - L > 0.
Since N - L is positive, we need to prove whether M is positive, so the rephrased question now becomes 'Is M > 0'?
Statement 1 : KM > LN
We know that K < L < M < N. For KM > LN we cannot take K, L, M and N to be all positive since KM will be less than LN, so looking at other scenarios
K L M N
-4 -3 -2 -1 we get KM > LN, but M here is negative. This gives us a NO.
K L M N
-4 -3 1 2 we get KM > LN, but M here is positive. This gives us a YES. Insufficient.
Statement 2 : KL = LM
KL - LM = 0 -----> L(K - M) = 0 ----> L = 0 or K = M.
K = M is not possible as K < M, so L has to be 0. If L is 0 and L < M, then M has to be positive. Sufficient.
Hope this helps!
Aditya
CrackVerbal Academic Team
Let us try solving this with the assumption that the figure is of the number line, so we know that K < L < M < N. The question asks us if MN > LM.
Simplifying the question stem we get MN - LM > 0 -----> M(N - L) > 0.
Now since L < N from the number line, we have L - N < 0 ----> N - L > 0.
Since N - L is positive, we need to prove whether M is positive, so the rephrased question now becomes 'Is M > 0'?
Statement 1 : KM > LN
We know that K < L < M < N. For KM > LN we cannot take K, L, M and N to be all positive since KM will be less than LN, so looking at other scenarios
K L M N
-4 -3 -2 -1 we get KM > LN, but M here is negative. This gives us a NO.
K L M N
-4 -3 1 2 we get KM > LN, but M here is positive. This gives us a YES. Insufficient.
Statement 2 : KL = LM
KL - LM = 0 -----> L(K - M) = 0 ----> L = 0 or K = M.
K = M is not possible as K < M, so L has to be 0. If L is 0 and L < M, then M has to be positive. Sufficient.
Hope this helps!
Aditya
CrackVerbal Academic Team
