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

It is currently 15 Dec 2018, 08:07

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

Ann bought five different kinds of fruit: apples, oranges, pears

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

Hide Tags

Manager
Manager
User avatar
Joined: 13 Apr 2014
Posts: 61
Ann bought five different kinds of fruit: apples, oranges, pears  [#permalink]

Show Tags

New post Updated on: 26 Oct 2014, 05:16
1
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (02:21) correct 21% (01:53) wrong based on 236 sessions

HideShow timer Statistics

Ann bought five different kinds of fruit: apples, oranges, pears, mangoes, and bananas. If the number of apples that Ann bought was twice the number of oranges and if the number of pears that Ann bought was the same as the number of apples and oranges combined, what fraction of the total number of pieces of fruit that Ann bought were pears?

(1) Ann bought a total of 18 pieces of fruit.
(2) Ann bought 5 bananas.

Originally posted by ajaym28 on 25 Oct 2014, 09:01.
Last edited by Bunuel on 26 Oct 2014, 05:16, edited 1 time in total.
Edited the question.
Intern
Intern
User avatar
Joined: 06 Jun 2013
Posts: 5
Location: United States
Concentration: Technology, Operations
GMAT 1: 600 Q42 V30
GPA: 3.55
WE: Engineering (Computer Software)
Re: Ann bought five different kinds of fruit: apples, oranges, pears  [#permalink]

Show Tags

New post 26 Oct 2014, 05:39
Ann bought five different kinds of fruit: apples, oranges, pears, mangoes, and bananas. If the number of apples that Ann bought was twice the number of oranges and if the number of pears that Ann bought was the same as the number of apples and oranges combined, what fraction of the total number of pieces of fruit that Ann bought were pears?

(1) Ann bought a total of 18 pieces of fruit.
(2) Ann bought 5 bananas

Let us assume 'x' be the number of oranges bought by Ann.
A (apples) -> 2x,O(oranges)->x,P(Pears)->3x,M(Mangos)->Not known,B(Bananas)-> Not Known

Option (1)
Even if we know the total number of pieces of fruit (18 i.e given),it will be required to find the number of quantities of anyone of Apples,Oranges or Pears (as we can derive 'x' based on the value).It is not possible to calculate 3x/18 (as we do not know the value of 'x')
Not Sufficient
Option (2)
In this option as well,we have been given the value of (bananas) B=5 that makes it impossible to evaluate the fraction of total number of pieces of pears.First off all we do not know the total number of quantities of fruit and secondly number of quantities of anyone of Apples,Oranges or pears is unknown.
Not Sufficient.
Option (1) + (2).
Even if we know the total number of pieces of fruit (option 1) and quantity of bananas (B=5)(Option 2) available,it will be still required to find the number of quantities of anyone of Apples,Oranges or Pears (as we can derive 'x' based on the value).It is not possible to calculate 3x/18 (as we do not know the value of 'x').
Not Sufficient.

Hence Option 'E' .
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6639
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: Ann bought five different kinds of fruit: apples, oranges, pears  [#permalink]

Show Tags

New post 03 Dec 2015, 04:59
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Ann bought five different kinds of fruit: apples, oranges, pears, mangoes, and bananas. If the number of apples that Ann bought was twice the number of oranges and if the number of pears that Ann bought was the same as the number of apples and oranges combined, what fraction of the total number of pieces of fruit that Ann bought were pears?

(1) Ann bought a total of 18 pieces of fruit.
(2) Ann bought 5 bananas.

We have 5 variables (a,o,p,m,b) and 2 equations (a=2o, p=a+o) in the original condition, but only 2 equations are given by the conditions, so there is high chance (E) will be the answer.
Looking at the conditions together, a+o+p+m+b=18, b=5, but a=2o, p=a+o=3o still does not give the number of p, so is insufficient, making the answer (E).

For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9164
Premium Member
Re: Ann bought five different kinds of fruit: apples, oranges, pears  [#permalink]

Show Tags

New post 09 Aug 2018, 11:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Ann bought five different kinds of fruit: apples, oranges, pears &nbs [#permalink] 09 Aug 2018, 11:42
Display posts from previous: Sort by

Ann bought five different kinds of fruit: apples, oranges, pears

  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®.