It is currently 20 Nov 2017, 07:02

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

Events & Promotions in June
Open Detailed Calendar

A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15

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

Hide Tags

Intern
Intern
User avatar
Joined: 19 Jan 2016
Posts: 2

Kudos [?]: 9 [0], given: 0

A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 17 Feb 2016, 22:41
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:09) correct 28% (00:49) wrong based on 330 sessions

HideShow timer Statistics

A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?

i. 1 : 2 : 3

ii. 2 : 3 : 4

iii. 4 : 7 : 10


A. I only

B. II only

C. III only

D. I and III only

E. II and III only
[Reveal] Spoiler: OA

_________________

Well I've got thick skin and an elastic heart

Kudos [?]: 9 [0], given: 0

1 KUDOS received
Intern
Intern
User avatar
Joined: 19 Jan 2016
Posts: 2

Kudos [?]: 9 [1], given: 0

Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 17 Feb 2016, 22:46
1
This post received
KUDOS
1
This post was
BOOKMARKED
Official Answer on Manhattanprep.

To solve this question, it’s necessary to understand that if only one kind of nut is removed, the ratio of the two remaining nuts must remain unchanged. That means our correct answers must have a ratio of two nuts that corresponds to one of the nut to nut ratios we started with.

i. The ratio 2 : 3 is the same as the given ratio 10 : 15. If one pecan were removed, the new ratio would be 5 : 10 : 15, or 1 : 2 : 3.

ii. None of the nuts currently have a ratio of 3 : 4. The cashews and almonds do have a ratio of 2 : 3, but there are not enough pecans in the bowl to complete the ratio.

iii. The ratio 4 : 10 is the same as the given ratio 6 : 15. To see this, multiply the ratio by 3/2 . The new ratio is 6 : 10.5 : 15. Unfortunately, this means that there are fewer cashews that this ratio would require. Removing cashews won’t create the desired ratio.

The correct answer is (A).
_________________

Well I've got thick skin and an elastic heart

Kudos [?]: 9 [1], given: 0

Manager
Manager
avatar
B
Joined: 07 Mar 2015
Posts: 110

Kudos [?]: 29 [0], given: 48

Location: India
Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
GPA: 3.84
WE: Engineering (Energy and Utilities)
Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 17 Feb 2016, 22:56
IMO : A

I don’t know the standard approach for this sum, but I just tried number plug in method
6:10:15
Which means 6x,10x,15x
So probably 6,10,15
12,20,30
18,30,45
24,40,60
No we try to fit with answer 6,10 ,15 to be fitted with
1:2:3 ( 2 & 3 direct fit when we multiply 5) , reduce 6 by one number 5
5, 10 15 (1:2:3)
So A works
Remaining I tried it doesn’t get fit

Kudos [?]: 29 [0], given: 48

Expert Post
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5211

Kudos [?]: 5851 [0], given: 117

A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 17 Feb 2016, 23:02
Expert's post
1
This post was
BOOKMARKED
jasper20151012 wrote:
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?

i. 1 : 2 : 3

ii. 2 : 3 : 4

iii. 4 : 7 : 10


A. I only

B. II only

C. III only

D. I and III only

E. II and III only


Hi,
we have ratios of three items as 6:10:15..

restriction


we can remove nuts only from one bowl..

inference of restriction


the ratio between the other two will remain the same

solution


lets see the choices..

i. 1 : 2 : 3
the ratio 10:15 is same as 2:3..
so the nuts are removed from 1st bowl..
1:2:3 will mean 5:10:15.. so 1 nut is removed from 1st bowl...
POSSIBLE


ii. 2 : 3 : 4
the corresponding ratios are 6:10:15..
no two ratios are equal in earlier and present..
so not possible..
\(2:3\neq{6:10}\)..
\(2:4\neq{6:15}\)..
\(3:4\neq{10:15}\)..
so NOT POSSIBLE.


iii. 4 : 7 : 10
same reason as ii..
NOT POSSIBLE..


ANS A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5851 [0], given: 117

Senior Manager
Senior Manager
avatar
G
Joined: 26 Dec 2015
Posts: 256

Kudos [?]: 55 [0], given: 1

Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 28 May 2017, 16:22
i managed to get this correct by implementing a shorter method. not sure if this can be applied to other/similar problems, so lmk what you think:

GIVEN-- 6:10:15:31
CONSTRAINT: can only remove nuts from ONE jar

i. 1 : 2 : 3

- 1:2:3:6 (total).
NOTICE YOU CAN MULTIPLY BY 5 (to get us as close to 31 as possible).
- Result: 5:10:15:30.
* We need to make the following adjustments: 1 (6 is missing 1, giving us "5" in this example. Therefore, only removing nut from ONE jar). 2:3 is the same proportion as 10:15. CORRECT.

ii. 2 : 3 : 4

- 2:3:4:9 (total).
NOTICE YOU CAN MULTIPLY BY 3 (to get us as close to 31 as possible).
- Result: 6:9:12:27.
* We need to make the following adjustments: (9 should be "10". 12 should be "15". Therefore, need to remove nuts from TWO jars). INCORRECT.

iii. 4 : 7 : 10

- 4:7:10:21
DO NOT NEED TO MULTIPLY BY ANYTHING B/C MULTIPLYING 2X WOULD GIVE YOU SAME DIFFERENCE (+/- 10)
- Result: same
* We need to make the following adjustments: (4 should be "5". 7 should be "10". 10 should be "15". Therefore, need to remove nuts from THREE jars). INCORRECT.

Again, please let me know your thoughts! If this was helpful, kudos please :)

Kudos [?]: 55 [0], given: 1

Intern
Intern
avatar
B
Joined: 21 Mar 2012
Posts: 17

Kudos [?]: 10 [0], given: 45

Location: India
GMAT 1: 710 Q49 V38
GMAT ToolKit User
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 31 Jul 2017, 14:27
1
This post was
BOOKMARKED
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?

i. 1 : 2 : 3

ii. 2 : 3 : 4

iii. 4 : 7 : 10


A) I only
B) II only
C) III only
D) I and III only
E)II and III only

Kudos [?]: 10 [0], given: 45

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42264

Kudos [?]: 132771 [0], given: 12372

Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 31 Jul 2017, 20:26
nandapankaj wrote:
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?

i. 1 : 2 : 3

ii. 2 : 3 : 4

iii. 4 : 7 : 10


A) I only
B) II only
C) III only
D) I and III only
E)II and III only


Merging topics. Please search before posting. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132771 [0], given: 12372

Intern
Intern
avatar
Joined: 25 Aug 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15 [#permalink]

Show Tags

New post 25 Aug 2017, 16:07
As always, get it from answer,

Given:
P:C:A = 6x:10x:15x
Some nuts removed from one of three types
Which of the following be the ratio?

i. 1 : 2 : 3

ii. 2 : 3 : 4

iii. 4 : 7 : 10

From the given ratio we need to get the above three answer,
NOTE: all the number should be divisible by common number(dividend)
Let's say some quantity removed from pecans, then we need to figure out the divisor divisible by common dividend

i) if removed 1 from 6 changes to 5 =>5:10:15 = 1:2:3
SATISFIED
ii) if anything removed from cashew, we not going to get divisor that is divisible by common dividend
NOT SATISFIED
iii) if removed a number we can able to solve,
OPTION 1:- 6:10:14 = 3:5:7
whatever may the number we get reduced still we gonna get same amount of peacans and cashew.
NOT SATISFIED

Only satisfied option is 1

Answer will be 'A'

Kudos [?]: 0 [0], given: 0

Re: A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15   [#permalink] 25 Aug 2017, 16:07
Display posts from previous: Sort by

A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.