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10 Aug 2017, 01:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:19) correct
33%
(02:04)
wrong
based on 183
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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) \(\frac{11}{13}> x > \frac{1}{2}\)
(1) \(\frac{5}{11} < x <\frac{3}{4}\)\(\)
(2) \(\frac{11}{13}> x > \frac{1}{2}\)
Luckisnoexcuse
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Updated on: 10 Aug 2017, 22:57
Originally posted by Luckisnoexcuse on 10 Aug 2017, 01:40.
Last edited by Luckisnoexcuse on 10 Aug 2017, 22:57, edited 1 time in total.
Last edited by Luckisnoexcuse on 10 Aug 2017, 22:57, edited 1 time in total.
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Bunuel
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) \(\frac{11}{13}> x > \frac{1}{2}\)
(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
10 Aug 2017, 08:22
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Bunuel
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) \(\frac{11}{13}> x > \frac{1}{2}\)
(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
