Hello BTG
Would appreciate a little help with the following DS-problem - especially statement (2):
Is 10m > 5n - k?
1. n = 2m
2. IkI = -k
Thanks in advance
Is 10m > 5n - k?
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- DavidG@VeritasPrep
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Statement 2 is simply telling us that k is negative. (You can see this by plugging in values. If k = 2, then plugging into the equation we'd get |2| = -2. This isn't true. But if k = -2, we'd get |-2| = -(-2), or 2 = 2. This is true.) Now give this one another shot...lucas211 wrote:Hello BTG
Would appreciate a little help with the following DS-problem - especially statement (2):
Is 10m > 5n - k?
1. n = 2m
2. IkI = -k
Thanks in advance
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Hi lucas211,
This question can be solved by TESTing VALUES, Number Properties and/or a bit of logic.
We're asked if 10M > (5N - K). This is a YES/NO question. To answer it, we'll need to have some specific information about all 3 variables.
1) N = 2M
With this Fact, the question now becomes....
is 10M > 5(2M) - K?
is 10M > 10M - K?
This tells us nothing about the value of K, so the answer to the question will not be consistent.
Fact 1 is INSUFFICIENT
2) |K| = -K
This Fact tells us that K is either 0 or negative, but it doesn't tell us anything about the values of M or N , so the answer to the question will not be consistent.
Fact 2 is INSUFFICIENT
Combined, we know...
N = 2M
|K| = -K
Using the work we did in Fact 1, we know that the question now asks...
is 10M > 10M - K?
Since K will either be 0 or a negative, the 'left side' of the inequality will NEVER be greater than the 'right side'; thus the answer to the question is ALWAYS NO.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES, Number Properties and/or a bit of logic.
We're asked if 10M > (5N - K). This is a YES/NO question. To answer it, we'll need to have some specific information about all 3 variables.
1) N = 2M
With this Fact, the question now becomes....
is 10M > 5(2M) - K?
is 10M > 10M - K?
This tells us nothing about the value of K, so the answer to the question will not be consistent.
Fact 1 is INSUFFICIENT
2) |K| = -K
This Fact tells us that K is either 0 or negative, but it doesn't tell us anything about the values of M or N , so the answer to the question will not be consistent.
Fact 2 is INSUFFICIENT
Combined, we know...
N = 2M
|K| = -K
Using the work we did in Fact 1, we know that the question now asks...
is 10M > 10M - K?
Since K will either be 0 or a negative, the 'left side' of the inequality will NEVER be greater than the 'right side'; thus the answer to the question is ALWAYS NO.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich