Question

If y be the reciprocal of rational number x, then the reciprocal of y will be
a. x
b. y
c. x/y
d. y/x

Answer 1

x 
because y is the reciprocal of x

Answer 2

answer : option (a) x

explanation : given, y be the reciprocal of rational number x.

mathematically, y = 1/x

from cross multiplication,

or, y × x = 1

dividing by y both sides,

or, y × x/y = 1/y

or, x = 1/y .....(1)

hence, it is clear that x is reciprocal of y.

now question want to find reciprocal of y.

from equation (1), we get x is reciprocal of y.

hence, option (a) is correct.