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

 It is currently 13 Dec 2018, 00:58

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# If operation p # q is defined for all integers p and q, such that

Author Message
TAGS:

### Hide Tags

Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
If operation p # q is defined for all integers p and q, such that  [#permalink]

### Show Tags

19 Oct 2017, 04:45
00:00

Difficulty:

55% (hard)

Question Stats:

55% (02:04) correct 45% (02:07) wrong based on 59 sessions

### HideShow timer Statistics

If operation p # q is defined for all integers p and q, such that t p # q = p+q+pq, which of the following must be true?

I. p # q = q # p
II. p # 1 = 2p + 1
III. p # (q # r) = (p # q) # r

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 984
Location: India
GPA: 3.64
Re: If operation p # q is defined for all integers p and q, such that  [#permalink]

### Show Tags

19 Oct 2017, 07:24
1
nkmungila wrote:
If operation p # q is defined for all integers p and q, such that t p # q = p+q+pq, which of the following must be true?

I. p # q = q # p
II. p # 1 = 2p + 1
III. p # (q # r) = (p # q) # r

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

I - p # q = p+q+pq
q # p = q+p+qp
which is the same.

II - p # 1 = p+1+p*1=2p+1 which is true

III - p # (q # r) = p#(q+r+qr)=p+q+r+qr+p*(q+r+qr) = p+q+r+qr+pq+pr+pqr
(p # q) # r = (p+q+pq)#r = p+q+pq+r+(p+q+pq)*r=p+q+pq+r+pr+qr+pqr
comparing both the terms it is the same.

Hence all three are true.

Please give kudos, if u liked my post!
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Re: If operation p # q is defined for all integers p and q, such that &nbs [#permalink] 19 Oct 2017, 07:24
Display posts from previous: Sort by