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Bunuel
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If n is a positive integer, is n + 2 > z? 17 Mar 2016, 03:59
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25% (medium)

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74% (01:45) correct 26% (02:08) wrong based on 227 sessions

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If n is a positive integer, is n + 2 > z?

(1) z^2 > n
(2) z – n < 0
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B
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If n is a positive integer, is n + 2 > z? 17 Mar 2016, 07:09
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St1: z^2 > n --> z > n or z < n --> Not Sufficient

St2: z < n --> If z < n then z < n + 2. Sufficient

Answer: B
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If n is a positive integer, is n + 2 > z? 17 Mar 2016, 09:46
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Bunuel
If n is a positive integer, is n + 2 > z?

(1) z^2 > n
(2) z – n < 0
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(1)
consider z=-2 & n=1 then (-2)^2>1
so 1+2>-2.....Yes
consider z=5 & n=1 then (5)^2>1
so 1+2>5.....NO
insuff....
(2)
z-n<0
z<n
as n is positive so n+2 is always >z
suff...
Ans b
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If n is a positive integer, is n + 2 > z? 07 Aug 2016, 14:33
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Bunuel
If n is a positive integer, is n + 2 > z?

(1) z² > n
(2) z – n < 0
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Target question: Is n + 2 > z?

Given: n is a positive integer

Statement 1: z² > n
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several values of z and n that satisfy statement 1. Here are two:
Case a: z = 2 and n = 3. In this case, n + 2 = 3 + 2 = 5, which means n + 2 > z
Case b: z = 10 and n = 3. In this case, n + 2 = 3 + 2 = 5, which means n + 2 < z
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: z – n < 0
Add n to both sides to get: z < n
We ALSO know that n < n + 2
So, we get COMBINE both inequalities to get: z < n < n + 2
From this, we can conclude that z < n + 2
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:
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B

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If n is a positive integer, is n + 2 > z? 10 Feb 2024, 04:54
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