Good Day,
The question is as follows:
Is 4+n/6 an integer?
1. n is a multiple of 3
2. n divided by 6 has a remainder of 0
Though the problem looks pretty straight forward, it underlines a very imp fact regarding Data Sufficiency YES/NO questions and this fact I want to be cleared!
Now, if we look at the individual statements, obviously we choose values and evaluate the Question Stem.
1. n is a multiple of 3
we can select n to be 3, in which the answer is NO and we can select n as 6 in which the answer is YES.
Since data sufficiency basically tests how the sufficiency of data is interpreted, my question is this...
Statement clearly gives us the answer as either YES or NO..and therefore we can answer the question stem as:
4+n/6 is an integer if n=6,12..and it is not an integer if n=3,5 etc
Moving on statement 2, which is sufficient to answer the question stem.
But, the answer is B and I feel it should be D since we can answer the question stem using each statement- either statement is sufficient by itself to determine YES/NO for an "IS" question.
Can someone please clarify my reasoning and advise where I am wrong?
Thanks
Rajeev
Is 4+n/6 an integer?
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Statement 1: n is multiple of 3raj44 wrote:Is 4+n/6 an integer?
1. n is a multiple of 3
2. n divided by 6 has a remainder of 0
If n=3, then 4 + n/6 = 4 + 3/6 = 4.5.
Is 4.5 an integer?
NO.
If n=6, then 4 + n/6 = 4 + 6/6 = 5.
Is 5 an integer?
YES.
Since the answer is NO in the first case but YES in the second case, INSUFFICIENT.
Statement 2: n divided by 6 has a remainder of 0
In the words, n is a multiple of 6:
6, 12, 18, 24, 30, 36...
If n=6, then 4 + n/6 = 4 + 6/6 = 5.
Is 5 an integer?
YES.
If n=12, then 4 + n/6 = 4 + 12/6 = 6.
Is 6 an integer?
YES.
If n=30, then 4 + n/6 = 4 + 30/6 = 9.
Is 9 an integer?
YES.
Since the answer is YES in every case, SUFFICIENT.
The correct answer is B.
A statement is sufficient only if the answer to the question stem is THE SAME IN EVERY CASE.Though the problem looks pretty straight forward, it underlines a very imp fact regarding Data Sufficiency YES/NO questions and this fact I want to be cleared!
Now, if we look at the individual statements, obviously we choose values and evaluate the Question Stem.
1. n is a multiple of 3
we can select n to be 3, in which the answer is NO and we can select n as 6 in which the answer is YES.
Since data sufficiency basically tests how the sufficiency of data is interpreted, my question is this...
Statement clearly gives us the answer as either YES or NO..and therefore we can answer the question stem as:
4+n/6 is an integer if n=6,12..and it is not an integer if n=3,5 etc
Moving on statement 2, which is sufficient to answer the question stem.
But, the answer is B and I feel it should be D since we can answer the question stem using each statement- either statement is sufficient by itself to determine YES/NO for an "IS" question.
Can someone please clarify my reasoning and advise where I am wrong?
Thanks
Rajeev
Statement 2 yields the same answer in every case (YES).
Thus, statement 2 is SUFFICIENT.
Statement 1 yields YES in some cases but NO in others.
Since statement 1 does NOT yield the same answer in every case, statement 1 is INSUFFICIENT.
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Hi raj44,
Data Sufficiency questions are about whether the answers that you get to the given question are consistent or inconsistent.
Every DS question that you face on Test Day has AT LEAST one answer, but your task is to determine if the possible answers stay the same or vary.
If a series of results is consistent, then the given Fact is Sufficient.
If a series of results is inconsistent, then the given Fact is insufficient.
This applies to ALL DS questions (Yes/No and Value).
GMAT assassins aren't born, they're made,
Rich
Data Sufficiency questions are about whether the answers that you get to the given question are consistent or inconsistent.
Every DS question that you face on Test Day has AT LEAST one answer, but your task is to determine if the possible answers stay the same or vary.
If a series of results is consistent, then the given Fact is Sufficient.
If a series of results is inconsistent, then the given Fact is insufficient.
This applies to ALL DS questions (Yes/No and Value).
GMAT assassins aren't born, they're made,
Rich
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Target question: Is 4 + n/6 an integer?raj44 wrote: Is 4 + n/6 an integer?
1) n is a multiple of 3
2) n divided by 6 has a remainder of 0
Since 4 is an integer, 4 + n/6 will be an integer if and only if n/6 is an integer. Moreover, n/6 will be an integer if and only if n is divisible by 6. So, we can REPHRASE the target question as....
REPHRASED target question: Is n divisible by 6?
Aside: We have a free video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100
Statement 1: n is a multiple of 3
There are several values of n that satisfy this condition. Here are two values that yield conflicting answers to the REPHRASED target question :
Case a: n = 3, in which case n is NOT divisible by 6
Case b: n = 6, in which case n IS divisible by 6
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: n divided by 6 has a remainder of 0
If n is divided 6 leaves remainder 0, then n is definitely divisible by 6.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer = B
Cheers,
Brent
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Since 4 is already an integer, we really need to determine whether n/6 is an integer.raj44 wrote:Is 4+n/6 an integer?
1. n is a multiple of 3
2. n divided by 6 has a remainder of 0
Statement One Alone:
n is a multiple of 3.
Statement one is not sufficient to answer the question. If n = 3, then n/6 is not an integer; however, if n = 6, then n/6 is an integer.
Statement Two Alone:
n divided by 6 has a remainder of 0.
Using the information in statement two, we see that n is a multiple of 6, and thus n/6 is an integer.
Answer: B
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