Tough and Tricky questions: Absolute Values.
If |a| = 1/2 and |b| = 2/3, which of the following CANNOT be the result of a + b? Select
A) 7/6  B) -1/6  C) 1/6  D) 2/6  E) -7/6
|a| = 1/2   Absolute value of 'a' can have two values = 1/2 and -(1/2)   |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 = (1/2) + (2/3) = 7/6   - a - b = -(1/2) - (2/3) = -7/6   a - b = (1/2) - (2/3) = -(1/6)   -a + b = -(1/2) + (2/3) = 1/6   Cross verifying with the given options, left over option is 2/6.
<result>D</result>
Tough and Tricky questions: Absolute Values.
If |a| = 1/2 and |b| = 2/3, which of the following CANNOT be the result of a + b?