If x - y = 8, then which of the following must be true ?
I. Both x and y are positive.
II. If x is positive, y must be positive.
III. If x is negative, y must be negative.

If x - y = 8, then which of the following must be true ?
I. Both x and y are positive.
II. If x is positive, y must be positive.
III. If x is negative, y must be negative. Correct Answer III only

It is given that x - y = 8
I. We may have x = 5 and y = - 3
So, it is not necessary that both x and y are positive.
II. If x positive, then it is not necessary that y is positive, as x = 5 and y = -3
III. If x So, if x is negative, then y must be negative.

Related Questions

Determine the corrections or otherwise of the following Assertion and Reason : Assertion : For longitudinal static stability of an aircraft, slope of moment curve should be negative. Reason: Positive slope will result in more static stability than negative slope. Hence, slope should be positive always. and are true and is the correct reason for b) Both and are true but is not the correct reason for c) is true but is false d) is false but is true