What is the value of x?

Question

(1) |x|= -x

(2) |x|^2 = x^2

Bunuel · Answer

What is the value of x?

(1) |x|= -x. This implies that x is not a positive number. Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient.

(2) |x|^2 = x^2. This is true for any x. Not sufficient.

(1)+(2) x can be any non-positive number. Not sufficient.

Answer: E.

mbaprep2016 · Answer

|x| = x tells us x>=0
and |x| = - x tells us x<=0

B is true for any value of X 
Combine A and B not sufficient 
E is the answer

CAMANISHPARMAR · Answer

This is a value question. Both the statements are NS. Hence correct answer is (E)

CluelessLearner · Answer

0 is neither positive nor negative, so won't it satisfy the first condition?

Bunuel · Answer

The solution you quote says that for (1) x can be 0. Your question is not clear.

CluelessLearner · Answer

I'm sorry, I didn't see this line earlier - "Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient" Really don't know how I missed it

! The solution is correct. Thanks!

Princ · Answer

OA: E

(1)  |x|= -x 
It is true of all non positve integers
 x\leq{0} 
There is no unique value of  x .
So Statement  1  alone is insufficient.

(2)  |x|^2 = x^2 
It is true for any value of  x . 
There is no unique value of  x .
So Statement  2  alone is insufficient.

Combining  (1)  and  (2) , we get 
 x\leq{0} 
There is no unique value of  x . So combining  (1)  and  (2)  also is insufficient.

bumpbot · Answer

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What is the value of x?

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What is the value of x?

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