Author 
Message 
TAGS:

Hide Tags

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2642
GRE 1: 323 Q169 V154

If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
Updated on: 14 Jun 2017, 09:47
Question Stats:
60% (01:33) correct 40% (01:28) wrong based on 231 sessions
HideShow timer Statistics
If \(\frac{1}{55}<x<\frac{1}{22}\) and \(\frac{1}{33}<x<\frac{1}{11}\), then which of the following could be the value of x? (I)\(\frac{1}{54}\) (II)\(\frac{1}{23}\) (III)\(\frac{1}{12}\) A) Only I B) Only II C) I and II D) II and III E) I, II, III Source => NOVA.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!
Originally posted by stonecold on 19 Apr 2017, 05:40.
Last edited by Bunuel on 14 Jun 2017, 09:47, edited 1 time in total.
Renamed the topic and edited the question.



Director
Joined: 05 Mar 2015
Posts: 971

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
19 Apr 2017, 08:32
stonecold wrote: If \(\frac{1}{55}<x<\frac{1}{22}\) and \(\frac{1}{33}<x<\frac{1}{11}\) , then which of the following could be the value of x?
(I)\(\frac{1}{54}\)
(II)\(\frac{1}{23}\)
(III)\(\frac{1}{12}\)
A)Only I B)Only II C)I and II D)II and III E)I,II,III
Source => NOVA. II satisfies both condition Ans B



Intern
Joined: 07 Mar 2016
Posts: 46

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
19 Apr 2017, 09:00
The question is asking about the value of x that fits both ranges. The ranges are: 55<x<22 and 33<x<11 The only value that fits both ranges in 23; choice "B"
_________________
...once and a while you get shown the light, in the strangest of places if you look at it right...



Director
Joined: 12 Nov 2016
Posts: 776
Location: United States
GRE 1: 315 Q157 V158
GPA: 2.66

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
23 Apr 2017, 18:41
stonecold wrote: If \(\frac{1}{55}<x<\frac{1}{22}\) and \(\frac{1}{33}<x<\frac{1}{11}\) , then which of the following could be the value of x?
(I)\(\frac{1}{54}\)
(II)\(\frac{1}{23}\)
(III)\(\frac{1}{12}\)
A)Only I B)Only II C)I and II D)II and III E)I,II,III
Source => NOVA. The most efficient way to solve this problem is to just cross multiply the denominators all across the expression for example [1/55] < [1/23] [23/(55)(23)] < [55/(55)(23)] and then 1/23 < 1/22 22/(23)(22) < 23/(23)(22) The most efficient way, then, is to just compare the denominators * once you cross multiply two fractions such as  [23/(55)(23)] < [55/(55)(23)]  do not cross multiply again by the next fraction for example [23/(55)(23)] < [55/(55)(23)] cross multiplied by 1/22



Intern
Joined: 13 Dec 2016
Posts: 44

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
15 May 2017, 04:34
I solved it the traditional way (taking LCM and comparing each fraction option with the ranges given and it took me almost 3 mins to conclude the right answer. Request you to advise the best approach to solve such problems. Nunuboy1994 : I could not understand the crossmultiplication approach you are suggesting



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8102
Location: Pune, India

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
15 May 2017, 05:17
stonecold wrote: If \(\frac{1}{55}<x<\frac{1}{22}\) and \(\frac{1}{33}<x<\frac{1}{11}\) , then which of the following could be the value of x?
(I)\(\frac{1}{54}\)
(II)\(\frac{1}{23}\)
(III)\(\frac{1}{12}\)
A)Only I B)Only II C)I and II D)II and III E)I,II,III
Source => NOVA. Two ranges of x are given. \(\frac{1}{55}<x<\frac{1}{22}\) and \(\frac{1}{33}<x<\frac{1}{11}\) translates to 1/33 < x < 1/22 Note why on the number line: .......... (1/55)......................(1/33) ........................ (1/22).......................(1/11)......... ............. < x >and ................................................ < x >1/33 < x < 1/22 So all values such as 1/23, 1/24, 1/25.... 1/32 will lie within this range. Answer (B)
_________________
Karishma Veritas Prep  GMAT Instructor My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews



Manager
Status: Gmat lover
Joined: 27 Mar 2017
Posts: 87
Location: India
GPA: 3.91

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
15 May 2017, 06:26
If 155<x<122155<x<122 and 133<x<111133<x<111 , then which of the following could be the value of x? Cond 1) 155<x<122155<x<122 Cond 2) 133<x<111133<x<111 (I)154154 it cant satisfy both conditions (II)123123(III)112112 it cant satisfy both conditions A)Only I B)Only II C)I and II D)II and III E)I,II,III
_________________
_________________ Rules for posting in verbal Gmat forum, read it before posting anything in verbal forum Giving me + 1 kudos if my post is valuable with you
The more you like my post, the more you share to other's need.
“The great secret of true success, of true happiness, is this: the man or woman who asks for no return, the perfectly unselfish person, is the most successful.” Swami Vivekananda



Manager
Joined: 24 Jun 2017
Posts: 122

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
08 Aug 2017, 10:07
For me the best way to resolve this was to write the numbers with negative exponents 1/55 = (55)^1 1/33 = (33)^1 1/22 = (22)^1 1/11 = (11)^1
So if 1/55<x<1/22 and 1/33<x<1/11 then
5522> 3311> range that covers both conditions is (33)^1<x<(22)^1 then only B (23)^1 satisfies it



Intern
Joined: 12 Aug 2017
Posts: 3
GMAT 1: 730 Q45 V45 GMAT 2: 710 Q48 V40 GMAT 3: 720 Q44 V45

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
15 Aug 2017, 11:52
\([1][/55] < [1][/33] < x < [1][/22] < [1][/11]\)
x must be between \([1][/33]\) and \([1][/22]\)
Only II fits this criteria



Intern
Joined: 12 May 2017
Posts: 8
Location: India
Concentration: Strategy, Operations
GPA: 3.32
WE: Supply Chain Management (Manufacturing)

Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following [#permalink]
Show Tags
15 Aug 2017, 12:00
I did it like this:
First says 1/55<x<1/22  multiplying everything by 330 > 6 < 330x < 15
Second says 1/33 < x < 1/11  again multiplying by 330 > 10 < 330x < 33
Combining, we get 10 < 330x < 15
Divide above by 330, we get
1/33 < x < 1/22
Analysing answer choices, only ii satisfies above.




Re: If 1/55 < x < 1/22 and 1/33 < x < 1/11, then which of the following
[#permalink]
15 Aug 2017, 12:00






