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

It is currently 21 Jul 2018, 12:14

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 the product of the integers w, x, y and z is 770, and if

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 105
Concentration: Marketing, General Management
If the product of the integers w, x, y and z is 770, and if  [#permalink]

Show Tags

New post Updated on: 13 Jul 2013, 07:29
1
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:37) correct 12% (00:40) wrong based on 167 sessions

HideShow timer Statistics

If the product of the integers w, x, y and z is 770, and if 1 < w < x < y < z, what is the value of w + z?

A. 10
B. 13
C. 16
D. 18
E. 21

Originally posted by ruturaj on 10 Jul 2011, 05:52.
Last edited by Bunuel on 13 Jul 2013, 07:29, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
1 KUDOS received
Retired Moderator
avatar
B
Joined: 16 Nov 2010
Posts: 1467
Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: 700 plus level question  [#permalink]

Show Tags

New post 10 Jul 2011, 06:11
1
770 = 2 * 5 * 7 * 11

So w = 2, x = 5, y = 7, z = 11

w + z = 2 + 11 = 13

Answer - B
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 105
Concentration: Marketing, General Management
Re: 700 plus level question  [#permalink]

Show Tags

New post 10 Jul 2011, 12:25
How can we be sure of these nos..It can be others also..How can one come with these nos
Current Student
avatar
Joined: 26 May 2005
Posts: 528
Re: 700 plus level question  [#permalink]

Show Tags

New post 10 Jul 2011, 12:29
ruturaj wrote:
How can we be sure of these nos..It can be others also..How can one come with these nos


it can be any other number because these are prime factors of 770

770 = 77*10 = 7*11 * 2*5

hope this helps
Manager
Manager
User avatar
Joined: 20 Jul 2011
Posts: 122
GMAT Date: 10-21-2011
Re: 700 plus level question  [#permalink]

Show Tags

New post 05 Sep 2011, 13:57
Quote:
Product of w,x,y,z is 770.If w<x<y<z what is the value of w+z?
A. 10
B. 13
C. 16
D. 18
E. 21


prime factors of 770: 2, 5, 7, 11
Therefore:
w+z=2+11=13

Answer: B
_________________

"The best day of your life is the one on which you decide your life is your own. No apologies or excuses. No one to lean on, rely on, or blame. The gift is yours - it is an amazing journey - and you alone are responsible for the quality of it. This is the day your life really begins." - Bob Moawab

Expert Post
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12004
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If the product of the integers w, x, y and z is 770, and if  [#permalink]

Show Tags

New post 15 Feb 2018, 13:05
Hi All,

We're told that the product of the integers W, X, Y and Z is 770, and that 1 < W < X < Y < Z. We're asked for the value of W + Z.

One of the great aspects of the 'math' behind factoring is that you can do the factoring in any order and you'll still get to the same result...

With 770, a few Number Properties stand out, so your first 'factor' would likely either be 2 (since 770 is EVEN), 7 (since 7 divides into 700 and 70) or 10 (since 770 ends in a 0). Let's go for the biggest option first....10

770 = (77)(10)

From here, you can further break down each of the two 'pieces'....

77 = (7)(11)
10 = (2)(5)

770 = (2)(5)(7)(11)

Based on the given inequality 'string', we know that W is the smallest value and Z is the largest value. 2 + 11 = 13

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: If the product of the integers w, x, y and z is 770, and if &nbs [#permalink] 15 Feb 2018, 13:05
Display posts from previous: Sort by

If the product of the integers w, x, y and z is 770, and if

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

Events & Promotions

PREV
NEXT


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®.