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In which of the following pairs are the two numbers reciproc

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In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 26 Dec 2013, 08:56
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A
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D
E

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

Problem Solving
Question: 8
Category: Arithmetic Properties of numbers (reciprocals)
Page: 63
Difficulty: 600


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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 26 Dec 2013, 08:56
1
SOLUTION

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: D.
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 26 Dec 2013, 21:51
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Solution:


I. The reciprocal of 3 is 1/3. So, I is correct.
II. The reciprocal of 1/17 is 17. So, II is incorrect.
III. The reciprocal of \sqrt{3} = 1/\sqrt{3} = \sqrt{3}/(\sqrt{3} * \sqrt{3} = \sqrt{3}/3. So, III is correct.

Ans is (D).
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 30 Dec 2013, 03:33
1
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: D.
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 30 Dec 2013, 05:19
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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
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 30 Dec 2013, 05:22
WoundedTiger wrote:
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


Yes, I and III is D, not E. Typo edited. Thank you.
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 08 Jan 2014, 08:08
easy question.. wish all GMAT could be this simple
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 09 Jul 2017, 08:13
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In which of the following pairs are the two numbers reciprocals of each other?

I. 3 and 1/3

Reciprocal of \(3 = \frac{1}{3}\)

I - TRUE

II. 1/17 and -1/17

Reciprocal of \(\frac{1}{17}\) is \(17\)

II - FALSE

III. \(\sqrt{3}\) and \(\frac{\sqrt{3}}{3}\)

Reciprocal of \(\sqrt{3}\) \(= \frac{1}{\sqrt{3}}\)

Multiply and divide the above equation by \(\sqrt{3}\), we get

\(\frac{\sqrt{3}}{3}\)

III - TRUE

Hence Answer is D
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 14 Aug 2018, 03:50
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

Problem Solving
Question: 8
Category: Arithmetic Properties of numbers (reciprocals)
Page: 63
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


It is a very easy question and can be solved within 20 seconds.
We can see 3 and 1/3 are reciprocals of each other.
Reciprocal of 1/17 is 17 and not -1/17

Reciprocal of \(\sqrt{3}\) is \(\frac{1}{\sqrt{3}}\) = \(\frac{\sqrt{3}}{3}\)

So, I & III is correct and Hence option D
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Re: In which of the following pairs are the two numbers reciproc  [#permalink]

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New post 11 Sep 2018, 23:43
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Can someone please tell me how 1/sqr3 is equal to sqr3/3? Thanks!

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Re: In which of the following pairs are the two numbers reciproc   [#permalink] 11 Sep 2018, 23:43
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