Bunuel wrote:
In which of the following pairs are the two numbers reciprocals of each other?
I. 3 and 1/3
II. 1/17 and -1/17
III. \(\sqrt{3}\) and \(\frac{\sqrt{3}}{3}\)
(A) I only
(B) II only
(C) I and II
(D) I and III
(E) II and III
Reciprocal for a number \(x\), denoted by \(\frac{1}{x}\) or \(x^{-1}\), is a number which when multiplied by \(x\) yields \(1\). The reciprocal of a fraction \(\frac{a}{b}\) is \(\frac{b}{a}\). To get the reciprocal of a number, divide 1 by the number. For example reciprocal of \(3\) is \(\frac{1}{3}\), reciprocal of \(\frac{5}{6}\) is \(\frac{6}{5}\).
Reciprocal of 3 is 1/3.
Reciprocal of 1/17 is 17. Discard.
Reciprocal of \(\sqrt{3}\) is \(\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\).
Answer: E.
Hi Bunuel,
We need reciprocals of given number so for 3 it will be 1/3 and for \sqrt{3} it will be 1/ \sqrt{3} or \sqrt{3}/3.
Ans should be D.
For II is not a reciprocal, reciprocal of 1/17 is 17
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”