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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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Joined: 02 Sep 2009
Posts: 53063
If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value  [#permalink]

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10 Aug 2017, 00:31
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45% (medium)

Question Stats:

71% (02:26) correct 29% (02:21) wrong based on 90 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) $$\frac{11}{13}> x > \frac{1}{2}$$

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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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Updated on: 10 Aug 2017, 21:57
1
1
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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Luckisnoexcuse

Originally posted by Luckisnoexcuse on 10 Aug 2017, 00:40.
Last edited by Luckisnoexcuse on 10 Aug 2017, 21:57, 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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10 Aug 2017, 07:22
2
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

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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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10 Aug 2017, 07:24
1
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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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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10 Aug 2017, 07:44
1
5/11=0.45approx; 9/12=0.75; 7/12=0.58approx; 9/13=0.7approx; 11/13=0.84approx; Therefore Answer E
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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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16 Dec 2017, 07:58
Hi,
what's the best/fastest way to solve such questions? Dividing them to find the decimal values would take so much time?
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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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16 Dec 2017, 10:08
deucebigalow wrote:
Hi,
what's the best/fastest way to solve such questions? Dividing them to find the decimal values would take so much time?

Hi

Its advisable to learn tables upto 20, that will help in these kind of questions. Almost everyone knows tables upto 10/11, its a good idea to keep writing tables from 11 to 20 (maybe just 3/4 tables at a time, but again and again for many days till it gets ingrained in the mind) till they become automatic.
Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value   [#permalink] 16 Dec 2017, 10:08
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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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