Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
Options:
A) 3/5
B) -3/5
C) -1/5
D) 2/3
E) 1/5
|a| = 1/5   Absolute value of 'a' can have two values = 1/5 and -(1/5)   |b| = 2/5   Absolute value of 'b' can have two values = 2/5 and -(2/5)   Now different combinations of a + b are as follows:   a + b = (1/5) + (2/5) = 3/5   - a - b = -(1/5) - (2/5) = -3/5   a - b = (1/5) - (2/5) = -(1/5)   -a + b = -(1/5) + (2/5) = 1/5   Cross verifying with the given options, left over option is 2/3.
<result>D</result>
Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?