GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Oct 2018, 07:01

Fuqua EA Calls Expected Soon:

Join us in the chat | track the decision tracker | See forum posts/summary


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.

Close

Request Expert Reply

Confirm Cancel

If a, b, c, d, e, f, and g are distinct integers, which of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
G
Joined: 27 Jan 2016
Posts: 142
Schools: ISB '18
GMAT 1: 700 Q50 V34
If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 15 Jul 2017, 08:31
4
7
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

38% (01:03) correct 62% (01:06) wrong based on 138 sessions

HideShow timer Statistics

Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6960
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 15 Jul 2017, 09:29
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 12 Dec 2010
Posts: 39
GMAT ToolKit User CAT Tests
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 15 Jul 2017, 09:43
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6960
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 15 Jul 2017, 09:52
mcmoorthy wrote:
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app



Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 12 Dec 2010
Posts: 39
GMAT ToolKit User CAT Tests
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 15 Jul 2017, 10:03
chetan2u wrote:
mcmoorthy wrote:
chetan2u wrote:
[quote="srikanth9502"]3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app



Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario[/quote]
Thanks Chetan!


Sent from my iPad using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 05 Nov 2016
Posts: 28
Location: India
Concentration: Operations
GMAT 1: 610 Q48 V26
GMAT 2: 660 Q49 V31
GPA: 3.9
WE: Engineering (Consulting)
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 20 Aug 2017, 23:16
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app[/quote]


Hi,

Not always..

Two cases..
P is 1,2,3,4,5,6,7 and Q is 1,2,3,4,5,6... Median is different
P is 1,2,3,4,5,6,7 and Q is 1,2,3,5,6,7... Median is 4 in each case so Same
So it can be same or different in the given scenario[/quote]


Hi chetan2u
Set P {a, b, c, d, e, f, g} is P {1,2,3,4,5,6,7}
Set Q {a, b, c, d, e, f } is Q {1,2,3,5,6,7 }

This means that a=1, b=2, c=3 and so on.
But in set P d=4, whereas d=5 in set Q.
I think the two values of d in set P & Q must be same..
Plz correct me if i am wrong.


Because if not so, than Set P {a, b, c, d, e, f, g} = {2,3,4,5,6,7,8} Range= 6
Set Q {a, b, c, d, e, f } = Q {1,4,5,6,7,8 } range = 7
where Range(P) < Range(Q)
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6960
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 21 Aug 2017, 04:49
Kevinjoshi wrote:
chetan2u wrote:
srikanth9502 wrote:
3. Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q



Hi..

There is an extra integer in P as compared to Q, while rest all are SAME..
So Range of P can never be less than range of Q or A)Range P ≥ Range Q..
A

Hi Chetan

Won't the median of P and Q be different? Can you pls clarify?


Sent from my iPad using GMAT Club Forum mobile app





Hi..
It is not necessary that the elements are in ascending order...
(a, b, c, d,e, f) is (1,2,3,5,6,7)
(a, b, c, d, e, f, g) is (1,2,3,5,6,7,4)..
So both cases median is 4...
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 29 Jul 2012
Posts: 15
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 21 Aug 2017, 09:39
I couldn't think of a case where Range of P = Range of Q, I considered the following sets:
P: 0 to 6 so Q: 0 to 5
P: 1 to 7 so Q: 1 to 6
P: -3 to 3 so Q -3 to 2
P: -6 to 0 so Q -6 to -1
In all the above Range of P is 6 and Range of Q is 5, so I picked answer as E i.e. Range P > Range of Q.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6960
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 21 Aug 2017, 09:44
ravjai81 wrote:
I couldn't think of a case where Range of P = Range of Q, I considered the following sets:
P: 0 to 6 so Q: 0 to 5
P: 1 to 7 so Q: 1 to 6
P: -3 to 3 so Q -3 to 2
P: -6 to 0 so Q -6 to -1
In all the above Range of P is 6 and Range of Q is 5, so I picked answer as E i.e. Range P > Range of Q.



hi..

you are taking a,b,c,d.. in increasing and consecutive integers..
these are variables and a,b do not mean a<b.
variables can take any value and hence g can be any value ..
if Q is 1,2,3,5,6,7.. range = 7-1=6
P is 1,2,3,4,5,6,7.. range is again 7-1=6
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

CEO
CEO
User avatar
P
Joined: 08 Jul 2010
Posts: 2551
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If a, b, c, d, e, f, and g are distinct integers, which of the  [#permalink]

Show Tags

New post 03 Oct 2018, 02:15
srikanth9502 wrote:
Set P {a, b, c, d, e, f, g}
Set Q {a, b, c, d, e, f}
If a, b, c, d, e, f, and g are distinct integers, which of the following MUST be true?

A)Range P ≥ Range Q

B)Mean P = Mean Q

C)Range P ≠ Range Q

D)Median P ≠ Median Q

E)Range P > Range Q


For any ordered and non-ordered sets,

Let, P {a, b, c, d, e, f, g} = {1, 2, 3, 4, 5, 7, 6}

Then, Q {a, b, c, d, e, f} = {1, 2, 3, 4, 5, 7}

i.e. Range is 6 for both sets

For any ordered set,

Let, P {a, b, c, d, e, f, g} = {1, 2, 3, 4, 5, 6, 7}

Then, Q {a, b, c, d, e, f} = {1, 2, 3, 4, 5, 6}

i.e. Range for P = 6 and Range for Q = 5
i.e. range of P > raneg of Q

Hence, Range of P ≥ Raneg of Q

Answer: Option A
_________________

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

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

GMAT Club Bot
Re: If a, b, c, d, e, f, and g are distinct integers, which of the &nbs [#permalink] 03 Oct 2018, 02:15
Display posts from previous: Sort by

If a, b, c, d, e, f, and g are distinct integers, which of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.