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If -x is a prime number, what is the value of x?
(1) x^2 + 5x + 6 = 0
(2) x^2 + 3x + 2 = 0
(1) x^2 + 5x + 6 = 0
(2) x^2 + 3x + 2 = 0
stonecold
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22 Jun 2017, 06:05
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Given data => -x is a prime number.
Statement 1 => x^2 + 5x + 6 = 0
x => {-2,-3}
Both are possible as -x would be 2 and 3 which are both prime.
Not sufficient.
Statment 2 => x^2 + 3x + 2 = 0
x=>{-1,-2}
Here x cannot be -1 as 1 is not prime.
Hence x must be -2
Sufficient.
Hence B.
Statement 1 => x^2 + 5x + 6 = 0
x => {-2,-3}
Both are possible as -x would be 2 and 3 which are both prime.
Not sufficient.
Statment 2 => x^2 + 3x + 2 = 0
x=>{-1,-2}
Here x cannot be -1 as 1 is not prime.
Hence x must be -2
Sufficient.
Hence B.
22 Jun 2017, 06:08
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Bunuel
If -x is a prime number, what is the value of x?
(1) x^2 + 5x + 6 = 0
(2) x^2 + 3x + 2 = 0
(1) x^2 + 5x + 6 = 0
(2) x^2 + 3x + 2 = 0
1) (x+3)(x+2)=0
Insufficient. 2 values of x.
2) (x+1)(x+2)=0
x = 2. Sufficient.
B.
