Hi arjunnambiartc,
This DS question can be quickly solved by TESTing VALUES.
We're asked if U = W. This is a YES/NO question.
Fact 1: U = |W|
First off, this tell us that U CANNOT be negative....
IF....
W = 1
U = 1
The answer to the question is YES.
W = -1
U = 1
The answer to the question is NO.
Fact 1 is INSUFFICIENT
Fact 2: W = |U|
First off, this tells us that W CANNOT be negative...
IF....
U = 1
W = 1
The answer to the question is YES.
U = -1
W = 1
The answer to the question is NO.
Fact 2 is INSUFFICIENT
Combined, we know...
U = |W|
W = |U|
Neither U nor W can be negative....by extension, they MUST be the same....
IF...
U = 0
W = 0
The answer to the question is YES.
U = 1
W = 1
The answer to the question is YES.
Etc.
Combined, SUFFICIENT
Final Answer:
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