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.
A. I only
B. II only
C. I and II both
D. III only
Answer: Option D
Solution(By Examveda Team)
It is given that x - y = 8I. 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 < 0, then y = x - 8 which is clearly less than 0
So, if x is negative, then y must be negative.
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Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
If we have x=11 and y=3 then what will be the answer?