Bunuel wrote:

Tough and Tricky questions: Absolute Values.

If |a| = 1/3 and |b| = 2/3, which of the following CANNOT be the result of a + b?

A. -1

B. -1/3

C. 1/3

D. 2/3

E. 1

Hello There,

|a| = 1/3

Absolute value of 'a' can have two values = 1/3 and -(1/3)

|b| = 2/3

Absolute value of 'b' can have two values = 2/3 and -(2/3)

Now different combinations of a + b are as follows:

a + b = (1/3) + (2/3) = 1

- a - b = -(1/3) - (2/3) = -1

a - b = (1/3) - (2/3) = -(1/3)

-a + b = -(1/3) + (2/3) = 1/3

Cross verifying with the given options, left over option is D.

Please correct my approach if any.

Thanks!

_________________

Regards,

Bharat Bhushan Sunkara.

"You need to sacrifice what you are TODAY, for what you want to be TOMORROW!!"