Statement 1 looks confusing indeed. But it's good to get back to the basics. How is an absolute value defined?
|X|= X if X>=0 or -X if x<0. the reason for this definition is that absolute value is defined as being a non-negative value. it can be anything b a negative number.
Now,
|-M| looks strange. but think of -M as X. then |(-M)|= -M if (-M)>=0 or -(-M) if -M<0.
we are told that |-M|=-M. so the first condition applies. -M>=0. The question asks is M<0. -M>=0 is to say M<=0 (sign flipped). so yes, M< 0 but also M=0. So not sufficient.
Statement 2: we know that in this case, m could be +-3. so not sufficient.
taken together, we know from first statement that M is either negative or 0 and from the second statemnent that M is either plus or minus 3. clearly together, M is a negative number. Hence, C.
harishsharma81 wrote:
1- Any thing equals to Modlus is always Positive, therefore, -M = must be a Positive number. this can only be possible when M itself is a -ve number.
Therefore Answer should be A
2- Option 2 would have 2 number + & -, therefore not sufficient
2-