srujani wrote:
If x is an integer, what is the value of x?
(1) |23x| is a prime number
(2) 2*\sqrt{x^2} is a prime number
M04-07
(1) |23x| is a prime number
(2) 2*\sqrt{x^2} is a prime number
M04-07
[Reveal] Spoiler:
Now, I get why statement 1 is not sufficient (x could be 1 or -1). But the OA says that in statement 2, x could still be 1 or -1. Is it not the rule that the square root of a number only yields a positive number. Shouldn't x be here. Help.
1. If x is an integer, what is the value of x?
(1) |23x| is a prime number. From this statement it follows that x=1 or x=-1. Not sufficient.
(2) 2\sqrt{x^2} is a prime number. The same here: x=1 or x=-1. Not sufficient.
(1)+(2) x could be 1 or -1. Not sufficient.
Answer: E.
Discussed here: new-set-number-properties-149775-40.html#p1205341
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