yellowho wrote:If non-zero x is the reciprocal of y, then which of the following may be true?
a)x/(1/y)=1/2
b)(1/x)/y=2
c) (1/y)/x=1/2
d) (1/x)/(1/y)=1/2
e) y/(1/x)=2
x = 1/y => y = 1/x
Now, each of the options except option D are wrong as all of them will be equal to 1. Let's check,
- A) x/(1/y) = x/x = 1
B) (1/x)/y = y/y = 1
C) (1/y)/x = x/x = 1
E) y/(1/x) = y/y = 1
But option D is (1/x)/(1/y) = (1/x)/x = 1/x² = y²
Hence, value of option D depends upon value of x or y.
Therefore, it is possible that option D has the value 1/2 for x = √2, i.e. y = 1/(√2)
But all the other options are not feasible at all.
The correct answer is D.
nk_81 wrote:I tried testing with x=1 and then x=2
The problem says
may be true not
always true.
