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13 Dec 2016, 11:09
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:27) correct
27%
(01:37)
wrong
based on 108
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If m, n and p are positive real numbers. Is m greater than 4?
(1) mnp is greater than 64 and np is less than 16.
(2) m – n – p > 4
(1) mnp is greater than 64 and np is less than 16.
(2) m – n – p > 4
15 Dec 2016, 05:47
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From 1
Max np= 16 and in this case m= 4 but since np < 16 thus m> 4 ... suff
From 2
M - (n+p) > 4
M> 4 + ( n+p) , since n, p are +ve real numbers thus m> 4 ... suff
D
Sent from my iPhone using GMAT Club Forum mobile app
Max np= 16 and in this case m= 4 but since np < 16 thus m> 4 ... suff
From 2
M - (n+p) > 4
M> 4 + ( n+p) , since n, p are +ve real numbers thus m> 4 ... suff
D
Sent from my iPhone using GMAT Club Forum mobile app
06 Sep 2021, 07:25
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Bunuel
Given: m, n and p are positive real numbers
Target question: Is m greater than 4?
Statement 1: mnp is greater than 64 and np is less than 16.
In other words: mnp > 64 and np < 16.
Let's combine the two inequalities by first taking the inequality np < 16 and multiplying both sides by 4 to get the equivalent inequality 4np < 64
At this point we can combine the two inequalities to get: 4np < 64 < mnp
From this we can see that 4np < mnp
Since n and p are both positive, we know that the product np is positive, which means we can safely divide both sides of the inequality by np to get: 4 > m
So, the answer to the target question is YES, m is greater than 4
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: m – n – p > 4
Add n and p to both sides of the inequality to get: m > 4 + n + p
Since we're told n and p are POSITIVE numbers, we know that 4 + n + p is greater than 4, which means m must be greater than 4
So, the answer to the target question is YES, m is greater than 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
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