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If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value

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If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

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New post 10 Aug 2017, 01:31
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E

Difficulty:

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Question Stats:

71% (02:26) correct 29% (01:18) wrong based on 43 sessions

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If x is equal to one of the numbers \(\frac{5}{11}\), \(\frac{7}{12}\), \(\frac{9}{13}\) what is the value of x?


(1) \(\frac{5}{11} < x <\frac{3}{4}\)\(\)

(2) \(\frac{11}{13}> x > \frac{1}{2}\)
[Reveal] Spoiler: OA

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Kudos [?]: 128713 [1], given: 12182

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If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

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New post 10 Aug 2017, 01:40
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Bunuel wrote:
If x is equal to one of the numbers \(\frac{5}{11}\), \(\frac{7}{12}\), \(\frac{9}{13}\) what is the value of x?


(1) \(\frac{5}{11} < x <\frac{3}{4}\)\(\)

(2) \(\frac{11}{13}> x > \frac{1}{2}\)


x is 5/11 or 7/12 or 9/13
(1) tells us
5/11 < x < 3/4
to check for 7/12
5/11 < x < 9/12 (7/12 is possible)
to check for 9/13 or 36/52
5/11 < x < 39/52 (9/13 or 36/52 is possible)
Not Sufficient

(2)
11/13 < x <1/2
5/11 is out of picture as it is less than 1/2
9/13 is possible as it falls within the range
to check for 7/12 or 91/12*13
132/12*13 < x <1/2 (7/12 or 91/12*13 is possible)
Not Sufficient

On combining both 7/12 and 9/13 possible
Hence E
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Last edited by Luckisnoexcuse on 10 Aug 2017, 22:57, edited 1 time in total.

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Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

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New post 10 Aug 2017, 08:22
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Bunuel wrote:
If x is equal to one of the numbers \(\frac{5}{11}\), \(\frac{7}{12}\), \(\frac{9}{13}\) what is the value of x?


(1) \(\frac{5}{11} < x <\frac{3}{4}\)\(\)

(2) \(\frac{11}{13}> x > \frac{1}{2}\)



If x is equal to one of the numbers \(\frac{5}{11}\), \(\frac{7}{12}\), \(\frac{9}{13}\)

i.e. x is one of the {0.4545, 0.583, 0.692}

Question: x = ?

Statement 1: \(\frac{5}{11} < x <\frac{3}{4}\)\(\)
i.e. 0.4545 < x < 0.75
i.e. x may be 7/12 or 9/13
NOT SUFFICIENT

Statement 2: \(\frac{11}{13}> x > \frac{1}{2}\)
i.e. 0.5 < x < 0.84
i.e. x may be 7/12 or 9/13
NOT SUFFICIENT

Combining the two statements
i.e. 0.5 < x < 0.84
i.e. x may be 7/12 or 9/13

Answer: Option E
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Kudos [?]: 2277 [1], given: 51

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Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

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New post 10 Aug 2017, 08:24
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Luckisnoexcuse wrote:
Bunuel wrote:
If x is equal to one of the numbers \(\frac{5}{11}\), \(\frac{7}{12}\), \(\frac{9}{13}\) what is the value of x?


(1) \(\frac{5}{11} < x <\frac{3}{4}\)\(\)

(2) \(\frac{11}{13}> x > \frac{1}{2}\)


x is 5/11 or 7/12 or 9/13
(1) tells us
5/11 < x < 3/4
to check for 7/12
5/11 < x < 9/12 (7/12 is possible)
to check for 9/13 or 36/52
5/11 < x < 39/52 (9/13 or 36/52 is possible)
Not Sufficient

(2)
11/13 < x <1/2
7/12 and 9/13 are out of picture as they are greater than 1/2
to check for 5/11 or 55/143
121/143 < x <1/2 (5/11 or 55/143 is possible)
Sufficient

Hence B


You seems to have misread the second statement.

Also you this was easy to recognise because how can x be less than 0.5 and still greater than 11/13
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Kudos [?]: 2277 [1], given: 51

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Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

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New post 10 Aug 2017, 08:44
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5/11=0.45approx; 9/12=0.75; 7/12=0.58approx; 9/13=0.7approx; 11/13=0.84approx; Therefore Answer E

Kudos [?]: 39 [1], given: 179

Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value   [#permalink] 10 Aug 2017, 08:44
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