What is the value of x?

[BTGmoderatorDC]

What is the value of x?

(1) |x| = 4.

(2) x^2 = 16.


OA E

Source: Princeton Review

[deloitte247]

Statement 1: |x| = 4
The absolute value of x is 4.
$$Hence,\ \pm x=4$$
So, x = 4 or -x = 4
x = 4 or x = -4
The value of x is not definite here. Therefore, statement 1 is NOT SUFFICIENT.
$$Statement\ 2:\ x^2=16$$
$$\pm\sqrt{x}=\sqrt{16}$$
$$\pm x=4$$
$$x=4\ or\ -x=4$$
$$x=4\ or\ x=-4$$
The value of x is not definite, hence, statement 2 is NOT SUFFICIENT.

Combining both statements:
The result of the expression in both statements are the same. Hence, no new information is obtained when the two statements are combined. Therefore, both statements combined together are not SUFFICIENT.

ANSWER = Option E

[swerve]

What is the value of x?

(1) |x| = 4.

(2) x^2 = 16.


OA E

Source: Princeton Review

From statement 1, the value of \(x\) can be \(+4\) or \(-4\). No Sufficient \(\Large{\color{red}\chi}\)

From statement 2, the value of \(x\) can be \(+4\) or \(-4\) as \(4^2=16\) and \((-4)^2=16\) No Sufficient \(\Large{\color{red}\chi}\)

Therefore, E