NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 03:02 It is currently 26 Apr 2024, 03:02
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|

SORT BY:
Date
Kudos
 1   2   3   
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619101 [4]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:00
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

87% (01:14) correct 13% (01:50) wrong based on 259 sessions
Hide Show timer Statistics
12 Days of Christmas GMAT Competition with Lots of Fun

If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38


 


This question was provided by Experts'Global
for the 12 Days of Christmas Competition

Win $25,000 in prizes: Courses, Tests & more

 

ShowHide Answer
Official Answer
E
User avatar
B
kguduri
Intern
Intern
Joined: 18 Jun 2022
Posts: 11
Own Kudos [?]: 18 [3]
Given Kudos: 94
Location: India
Schools: IIMA PGPX'25 (WL)
GMAT 1: 660 Q48 V34
GMAT 2: 720 Q48 V40
GPA: 3.4
Send PM
GMAT ToolKit User Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   22 Dec 2022, 06:56
3
Kudos
Given \(|p| < 7\)
i.e \(-7<p<7\)
\(-7*4<4p<7*4\) ( Multiplying by 4 )
\(-28<4p<28\)

\(-28+10<4p+10<28+10\) (Adding 10 )

\(-18<4p+10<38\)

Given \(x = 4p + 10 \)

=>\( -18<x<38\)

Answer - E. -18 < x < 38
User avatar
P
Oppenheimer1945
Director
Director
Joined: 16 Jul 2019
Posts: 524
Own Kudos [?]: 197 [2]
Given Kudos: 146
Send PM
Forum Quiz Mode
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:13
2
Kudos
-7<p<7;
x=4(p)+10;
4(-7)+10=-18
4(7)+10=38

x ranges from -18 to 38
User avatar
G
Suvankar8250
Manager
Manager
Joined: 19 Nov 2022
Posts: 65
Own Kudos [?]: 58 [2]
Given Kudos: 30
Location: India
GPA: 4
WE:Consulting (Consulting)
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:22
2
Kudos
From the absolute value concept, p ranges from -7<p<7, therefore consider -7 and 7 as the boundary values. Put in the boundary values of p in x=4p+10 and the boundary values of x will come out as -18 and 38.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [2]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:13
1
Kudos
1
Bookmarks
given

If x = 4p + 10 and |p| < 7
p = x-10 /4

l (x-10)/4)-7<0
case 1 :
x-10-28<0
x-38<0
x<38

case 2
-x+10-28<0
-x-18<0
-x<18
x>-18


Option E is correct -18 < x < 38

Bunuel wrote:
12 Days of Christmas GMAT Competition with Lots of Fun

If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38


 


This question was provided by Experts'Global
for the 12 Days of Christmas Competition

Win $25,000 in prizes: Courses, Tests & more

 

User avatar
D
rvgmat12
Senior Manager
Senior Manager
Joined: 19 Oct 2014
Posts: 394
Own Kudos [?]: 328 [1]
Given Kudos: 188
Location: United Arab Emirates
Schools: Wharton '23 Booth '23 INSEAD Jan'21 Intake
Send PM
GMAT ToolKit User Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:20
1
Kudos
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38

-7 < p < 7

-18 < 4p + 10 < 38

-18 < x < 38

E is the answer

Posted from my mobile device
User avatar
B
Surerere
Intern
Intern
Joined: 12 Oct 2022
Posts: 15
Own Kudos [?]: 15 [1]
Given Kudos: 1
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:31
1
Kudos
Given |p|<7 so p belong in
-7<p<7
So max possible value of x is
x< 28+10
And min value
x> -28+10
So x range is
-18<x<38

Ans- E

Posted from my mobile device
User avatar
D
sivatx2
Senior Manager
Senior Manager
Joined: 23 Oct 2015
Posts: 323
Own Kudos [?]: 270 [1]
Given Kudos: 33
Location: United States (NH)
Concentration: Leadership, Technology
Schools: Wharton '25
WE:Information Technology (Non-Profit and Government)
Send PM
Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:35
1
Kudos
x = 4p + 10 and |p| < 7

-7 < p < 7

Finding the extreme cases will solve the range for which x is valid.

when p =7

x= 4(7)+10 = 38
x = 38

When p = -7,

x= 4(-7)+10 = -18

so -18 < x < 38

Hence the best answer choice is E.
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3965 [1]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:44
1
Kudos
Asked: If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?
-7 < p < 7
p = (x-10)/4

-7 < p = (x-10)/4 < 7
-28 +10 < x < 28 + 10
-18 < x < 38

IMO E
User avatar
S
thisisit25
Manager
Manager
Joined: 11 Apr 2021
Posts: 70
Own Kudos [?]: 64 [1]
Given Kudos: 464
Send PM
Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:45
1
Kudos
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x?

|p| < 7 --> -7 < p < 7

p (minimum) = -7
x = 4p + 10 will be minimum when p is minimum.
x = 4(-7) + 10 = -28 + 10 = -18

p (maximum) = 7
x = 4p + 10 will be maximum when p is maximum.
x = 4(7) + 10 = 28 + 10 = 38

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38 ---> correct range
User avatar
B
akhtolkhyn
Intern
Intern
Joined: 14 Oct 2022
Posts: 34
Own Kudos [?]: 21 [1]
Given Kudos: 18
Location: Mongolia
Concentration: International Business, Finance
GPA: 3.14
WE:Corporate Finance (Investment Banking)
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:48
1
Kudos
|p|<7 p= 7; -7
4p+10
4*(7)+10=38; 4*(-7)+10=-18

IMO E

Posted from my mobile device
avatar
S
UtkarshAnand
Manager
Manager
Joined: 08 May 2021
Posts: 147
Own Kudos [?]: 82 [1]
Given Kudos: 1156
Location: India
Schools: Booth '24 Harvard '24 LBS '24 Stanford '24 Wharton '24
Send PM
CAT Tests
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 07:52
1
Kudos
Bunuel wrote:
12 Days of Christmas GMAT Competition with Lots of Fun

If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38


 


This question was provided by Experts'Global
for the 12 Days of Christmas Competition

Win $25,000 in prizes: Courses, Tests & more

 



Solution:
Given, |p| < 7
or -7<p<7.
Substituting the boundary values of p will give the boundary values (range) of x.

For p=-7, x=4(-7)+10=-18.
For p=7, x=4(7)+10=38.

So, -18<x<38.

ANSWER E.
User avatar
G
Niayesh99
Intern
Intern
Joined: 17 Sep 2022
Posts: 20
Own Kudos [?]: 52 [1]
Given Kudos: 45
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:08
1
Kudos
|p| < 7 => -7 < p < 7

multiply by 7:
-28 < 4p < 28

add 10:
-18 < 4p+10 < 38

we know that x=4p+10:
-18 < x < 38

So, the correct answer is E
User avatar
P
wadhwakaran
Senior Manager
Senior Manager
Joined: 31 Mar 2022
Posts: 298
Own Kudos [?]: 205 [1]
Given Kudos: 19
Location: India
Concentration: General Management, International Business
Schools: INSEAD Aug'24 intake Oxford Said'25 Judge '25 Imperial'25 HEC Sep'24 Intake LBS '26 ISB
GMAT 1: 700 Q50 V35
GPA: 2.8
Send PM
Reviews Badge
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:12
1
Kudos
|p| < 7

-7<p<7
x=4p+10
-28<4p<28
-28+10<4p+10<28+10
-18<x<38
Therefore option E

Posted from my mobile device
User avatar
L
pintukr
VP
VP
Joined: 03 Jul 2022
Posts: 1238
Own Kudos [?]: 799 [1]
Given Kudos: 21
GMAT 1: 680 Q49 V34
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:22
1
Kudos
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38

for |p| < 7,, we get

-7<p<7
hence, -18 < 4p + 10 <38
-18 < x <38 (since, x=4p+10

(E) is the correct answer
User avatar
G
TBT
Senior Manager
Senior Manager
Joined: 09 Aug 2020
Posts: 338
Own Kudos [?]: 289 [1]
Given Kudos: 494
Location: India
Concentration: Marketing, General Management
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:29
1
Kudos
Concept: |X| < 1 is always between range -1<x<1

x = 4p + 10 and |p| < 7,

p has range : -7<p<7
Multiply 4 and then add 10 to find range of x

you will get the required range. Ans: E
User avatar
G
neetib
Manager
Manager
Joined: 27 Jan 2017
Posts: 106
Own Kudos [?]: 107 [1]
Given Kudos: 483
Location: India
Schools: ISB '20 Harvard '24 IESE '24 LBS '24 NUS
GMAT 1: 640 Q46 V34
GMAT 2: 650 Q46 V34
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:39
1
Kudos
If x = 4p + 10 and |p| < 7,

Sol -
-7<p<7
x = 4p + 10
put p as -7
x=4(-7)+10=-18

put p-7
x=38

-18 < x < 38
OA:E
User avatar
D
Elite097
Director
Director
Joined: 20 Apr 2022
Posts: 629
Own Kudos [?]: 254 [1]
Given Kudos: 316
Location: India
Schools: Sloan '25 CBS Berkeley Haas
GPA: 3.64
Send PM
CAT Tests
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:44
1
Kudos
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

-7<x<7
x= -28+10= -18 or x=28+10=38
Thu -18<x<38 Ans E
User avatar
L
Kushchokhani
Director
Director
Joined: 05 Jan 2020
Status:Admitted to IIM Shillong (PGPEx 2023-24)
Affiliations: CFA Institute; ICAI; BCAS
Posts: 588
Own Kudos [?]: 554 [1]
Given Kudos: 694
Location: India
WE 2: EA to CFO (Consumer Products)
GPA: 3.78
WE:Corporate Finance (Commercial Banking)
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 08:54
1
Kudos
|p|<7 means -7<p<7
x=4p+10
So, -18<x<38
Answer is E
User avatar
D
Suraj0184
Senior Manager
Senior Manager
Joined: 03 Jun 2022
Posts: 408
Own Kudos [?]: 375 [1]
Given Kudos: 9
Location: India
Send PM
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink] New post   21 Dec 2022, 09:01
1
Kudos
If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38

If |p| < 7, it means

-7<p<7

For this range of p,

if x = 4p + 10

then, -18 < x < 38; since,
4(-7) + 10 = -18
4(7) + 10 = 38

-18 < x < 38

IMO, (E) will be the correct answer
GMAT Club Bot
gmatclubot
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| [#permalink]
21 Dec 2022, 09:01
 1   2   3   
Moderators:
Bunuel
Math Expert
92929 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions