Tough and Tricky questions: Absolute Values.
If |a| = 1/4 and |b| = 1/2, which of the following CANNOT be the result of a + b?
Choose the correct choice from the following choices
A) -1	B) -1/4	C) 3/4	D) -3/4	E) 1/4
|a| = 1/4   -1bsolute value of 'a' can have two values = 1/4 and -(1/4)   |b| = 1/2   -1bsolute value of 'b' can have two values = 1/2 and -(1/2)   Now different combinations of a + b are as follows:   a + b = (1/4) + (1/2) = 3/4   - a - b = -(1/4) - (1/2) = -3/4   a - b = (1/4) - (1/2) = -(1/4)   -a + b = -(1/4) + (1/2) = 1/4   Cross verifying with the given options, left over option is -1.
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Tough and Tricky questions: Absolute Values.
If |a| = 1/4 and |b| = 1/2, which of the following CANNOT be the result of a + b?