It is currently 18 Oct 2017, 06:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41884

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

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

### Show Tags

10 Aug 2017, 01:31
1
KUDOS
Expert's post
00:00

Difficulty:

55% (hard)

Question Stats:

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

### HideShow timer Statistics

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

_________________

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

Director
Joined: 18 Aug 2016
Posts: 511

Kudos [?]: 139 [1], given: 123

GMAT 1: 630 Q47 V29
If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

### Show Tags

10 Aug 2017, 01:40
1
KUDOS
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
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Last edited by Luckisnoexcuse on 10 Aug 2017, 22:57, edited 1 time in total.

Kudos [?]: 139 [1], given: 123

SVP
Joined: 08 Jul 2010
Posts: 1834

Kudos [?]: 2277 [1], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

### Show Tags

10 Aug 2017, 08:22
1
KUDOS
Expert's post
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

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2277 [1], given: 51

SVP
Joined: 08 Jul 2010
Posts: 1834

Kudos [?]: 2277 [1], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

### Show Tags

10 Aug 2017, 08:24
1
KUDOS
Expert's post
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
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2277 [1], given: 51

Manager
Joined: 06 Jul 2014
Posts: 105

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

Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 640 Q48 V30
Re: If x is equal to one of the numbers 5/11, 7/12, 9/13 what is the value [#permalink]

### Show Tags

10 Aug 2017, 08:44
1
KUDOS
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
Display posts from previous: Sort by