Is M < 0 ?Question Stem : Is M < 0 ?
1. - M = | - M |
2. M^2 = 9
Hello Friends, I think mod is always positive, please help me out on this one...This question isn't tough but concept is required. I am little bit confused. Please help me. Thanks in advance.
St. (1) : (-M) = |(-M)|
Now, |-M| basically means this :
(a) When (-M) > 0, |(-M)| = (-M)
(b) When (-M) < 0, |(-M)| = -(-M)
Thus, for statement 1 to be valid, it would seem that (-M) must be greater than 0 which means M must be less than 0.
However, the value of M = 0 also satisfies this statement. Thus M <= 0.
Hence Statement is Insufficient.St. (2) : M^2 = 9
This means that M = ±3
Therefore M can be positive or negative.
Statement Insufficient.St. (1) and (2) together : M <= 0 , M = ± 3
The only value that satisfies both statements is - 3.
Thus we can conclude that M < 0.
Hence Sufficient.Answer : C
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