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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
50% (01:41) correct
50%
(01:35)
wrong
based on 168
sessions
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If k is the average (arithmetic mean) of prime integers x and y, is k prime?
(1) x = 3
(2) y = x + 2
(1) x = 3
(2) y = x + 2
23 Sep 2022, 19:54
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Bunuel
If k is the average (arithmetic mean) of prime integers x and y, is k prime?
(1) x = 3
(2) y = x + 2
(1) x = 3
(2) y = x + 2
(1) x=3
If y=5, then k =4…….NO
If y=7, then k=5……YES
Insufficient
(2) y=x+2
This means either both are odd or both are even.
As there is only one even prime number, both x and y have to be odd.
The average of x and x+2 is x+1, and x+1 is even.
So, k will never be a prime number as it is a multiple of 2.
Sufficient
B
15 Apr 2024, 11:45
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I still can not figure out this problem. Can anyone help?
