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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Which of the following is one-third of the reciprocal of the 1/3 + 8/7

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Math Expert V
Joined: 02 Sep 2009
Posts: 64117
Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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Difficulty:   15% (low)

Question Stats: 83% (00:52) correct 18% (01:19) wrong based on 40 sessions

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Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

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Location: India
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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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Bunuel wrote:
Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

$$\frac{1}{3} + \frac{8}{7}$$

$$\frac{(7 + 24)}{21}$$

$$\frac{31}{21}$$

Reciprocal : $$\frac{21}{31}$$

One-third of reciprocal :

$$\frac{21}{31}*\frac{1}{3}$$

$$\frac{7}{31}$$

(A)
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e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3394
Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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Solution

To find
• Value of one-third of the reciprocal of the 1/3+8/7

Approach and Working out

1/3+8/7 = (7 +24 )/21= 31/21
Reciprocal of 1/3+8/7 = 21/31
One third of Reciprocal of 1/3+8/7 = 1/3 × 21/31 = 7/31

Thus, option A is the correct answer.
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Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7  [#permalink]

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Bunuel wrote:
Which of the following is one-third of the reciprocal of the $$\frac{1}{3} + \frac{8}{7}$$ ?

A. 7/31

B. 7/15

C. 8/21

D. 21/31

E. 31/21

$$\frac{1}{3} + \frac{8}{7}$$

= $$\frac{7+24}{21}$$

= $$\frac{31}{21}$$

One-third of the reciprocal of $$\frac{31}{21}$$ = $$\frac{21}{31}*\frac{1}{3} = \frac{7}{31}$$ , Answer must be (A)
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Abhishek....

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How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: Which of the following is one-third of the reciprocal of the 1/3 + 8/7   [#permalink] 31 Oct 2019, 07:10

# Which of the following is one-third of the reciprocal of the 1/3 + 8/7   