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03 Mar 2020, 03:39
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A
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Difficulty:
15%
(low)
Question Stats:
89% (01:14) correct
11%
(01:24)
wrong
based on 37
sessions
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What is the value of the non-positive integer n?
(1) The average of the square of n and n is 6.
(2) n < 1
(1) The average of the square of n and n is 6.
(2) n < 1
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
03 Mar 2020, 09:57
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Bunuel
given value of non - positive integer
#1
The average of the square of n and n is 6.
n^2+n/2 = 6
n^2+n=12
here n is -ve let it be -x
x(x-1) = 12
x has to be -3
sufficient
#2
n<1
insufficient
IMO A
03 Mar 2020, 16:09
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Bunuel
Okay, n isn't positive, but n is an integer. So, n is either a negative integer (like -10, -39, -1) or zero. What is its value?
(1) The average of the square of n and n is 6.
Write this mathematically to see if you can simplify it.
\(\frac{n^2 + n}{2}=6\)
\(n^2 + n=12\)
This looks like a quadratic, so let's see if we can factor it to find the value(s) of n:
\(n^2 + n - 12 = 0\)
\((n - 3)(n + 4) = 0\)
n must equal either 3 or -4. But, since n isn't positive, we can conclude that n=-4. This statement is sufficient.
(2) n < 1
You can conclude almost immediately that this is insufficient. That's because it only tells you something you already know. Since n is a non-positive integer, you already know that it's less than 1, before you even look at this statement. So, it doesn't give any new info, so it won't help you answer the question.
The correct answer is A.
