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

 It is currently 15 Oct 2019, 21:45 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  For all positive integers m and v, the expression m Θ v represents the

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

Hide Tags

Manager  Joined: 22 Sep 2015
Posts: 88
For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

1
13 00:00

Difficulty:   15% (low)

Question Stats: 82% (01:52) correct 18% (02:26) wrong based on 641 sessions

HideShow timer Statistics

For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

A) -10
B) -2
C) 8
D) 13
E) 17

Originally posted by nycgirl212 on 08 Jun 2016, 10:13.
Last edited by Bunuel on 08 Jun 2016, 10:16, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert V
Joined: 02 Sep 2009
Posts: 58347
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

3
2
nycgirl212 wrote:
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

A) -10
B) -2
C) 8
D) 13
E) 17

(( 98 Θ 33 ) Θ 17 )
The remainder of 98 divided by 33 is 32;
The remainder of 32 divided by 17 is 15;

( 98 Θ (33 Θ 17))
The remainder of 33 divided by 17 is 16;
The remainder of 98 divided by 16 is 2.

15 - 2 = 13.

_________________
General Discussion
Math Expert V
Joined: 02 Aug 2009
Posts: 7960
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

nycgirl212 wrote:
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

A) -10
B) -2
C) 8
D) 13
E) 17

We have to be JUST careful on the bracket part..
(( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17))..........
98 divided by 33 will give 32 as remainder as 33*3 =99 and 33 divided by 17 will give 16 as remainder..
(32 Θ 17 ) - ( 98 Θ 16)......... 15 - 2 = 13..
D
_________________
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

nycgirl212 wrote:
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

A) -10
B) -2
C) 8
D) 13
E) 17

Let’s start with the first set of parentheses before the minus sign:

98/33 = 2 remainder 32

Next we have:

32 Θ 17

32/17 = 1 remainder 15

So, (( 98 Θ 33 ) Θ 17 ) = 15.

Let’s move to the second set of parentheses after the minus sign:

33/17 = 1 remainder 16

Next we have:

98 Θ 16 = 6 remainder 2

Thus, ( 98 Θ (33 Θ 17)) = 2.

So, (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) = 15 - 2 = 13

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  G
Joined: 07 Jun 2017
Posts: 162
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38 GPA: 3.6
WE: Information Technology (Computer Software)
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

( 98 Θ 33 ) Θ 17 ) =15
98 Θ (33 Θ 17) =2
so answer should be 13
_________________
Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post
Intern  B
Joined: 21 Nov 2015
Posts: 3
GMAT 1: 700 Q45 V40 GMAT 2: 750 Q48 V46 Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

Hi guys, I am working through the OG 2019 for Quant and I jumped into this question (Q83). I did exactly the same work as in previous answer and got to he answer of 13. However the OG answer is not 13, it is -2.

Is this a known typo or are we all missing something?
Math Expert V
Joined: 02 Sep 2009
Posts: 58347
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

Gilb17 wrote:
Hi guys, I am working through the OG 2019 for Quant and I jumped into this question (Q83). I did exactly the same work as in previous answer and got to he answer of 13. However the OG answer is not 13, it is -2.

Is this a known typo or are we all missing something?

Correct answer to the above question is D for sure. Not sure about your copy though.
_________________
Director  G
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: For all positive integers m and v, the expression m Θ v represents the  [#permalink]

Show Tags

1
Gilb17 wrote:
Hi guys, I am working through the OG 2019 for Quant and I jumped into this question (Q83). I did exactly the same work as in previous answer and got to he answer of 13. However the OG answer is not 13, it is -2.

Is this a known typo or are we all missing something?

Hey Gilb17

We are not missing out on anything.

The answer is indeed 13 and not -2.

It can be a typo .
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up. Re: For all positive integers m and v, the expression m Θ v represents the   [#permalink] 10 Feb 2019, 23:29
Display posts from previous: Sort by

For all positive integers m and v, the expression m Θ v represents the

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

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