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

 It is currently 10 Dec 2018, 05:07

### 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
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

# The Simplastic language has only 2 unique values and 3

Author Message
TAGS:

### Hide Tags

Intern
Joined: 28 Sep 2016
Posts: 19
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

16 Aug 2017, 22:15
shashankism wrote:
joepc wrote:
Dear Math Experts,

What will be answer if repetition in CVCVC is not allowed(once a vowel or consonant is used it cannot be used again)

Thanks
Joepc

In that case 1st C can take 3 values, 2nd C can take 2 values and 3rd C can take 1 value.

Similarly 1st V can take 2 values and 2nd V van take 1 value..

So, total no. of words formed = 3*2*1*2*1 = 12...

Thanks for your reply Shashankism, Is it not 120?, below is my reasoning Please correct me where I am wrong

IT is CVCVC
Considering Consonants
3 Consonants 1st C in 3 ways, 2nd C in 2 Ways and Third C in 1 Ways = 3*2*1 = 6 ways

Considering Vowels
Out of 5 vowels 2 vowels can be selected in 5C2 = 10 ways and it(2 vowels) can be permuted 2! ways which 20

Hence it is 6*20 = 120 ways
Director
Joined: 13 Mar 2017
Posts: 658
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

16 Aug 2017, 22:57
1
joepc wrote:
shashankism wrote:
joepc wrote:
Dear Math Experts,

What will be answer if repetition in CVCVC is not allowed(once a vowel or consonant is used it cannot be used again)

Thanks
Joepc

In that case 1st C can take 3 values, 2nd C can take 2 values and 3rd C can take 1 value.

Similarly 1st V can take 2 values and 2nd V van take 1 value..

So, total no. of words formed = 3*2*1*2*1 = 12...

Thanks for your reply Shashankism, Is it not 120?, below is my reasoning Please correct me where I am wrong

IT is CVCVC
Considering Consonants
3 Consonants 1st C in 3 ways, 2nd C in 2 Ways and Third C in 1 Ways = 3*2*1 = 6 ways

Considering Vowels
Out of 5 vowels 2 vowels can be selected in 5C2 = 10 ways and it(2 vowels) can be permuted 2! ways which 20

Hence it is 6*20 = 120 ways

But the question stem says there are only 2 vowels(check question it says there are 2 unique vowels misspelled as values and 3 unique consonant)..
_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Intern
Joined: 01 Nov 2017
Posts: 11
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

12 Feb 2018, 02:58
VeritasPrepKarishma wrote:
katzzzz wrote:
thank you! it really helps! for special seating arrangement ( A must proceed by B), guess we use the same approach here rather than the formula as we don't have to choose something from a group?

Yes, you use this concept for arrangements. Here is how you solve linear arrangements with constraints:

http://www.veritasprep.com/blog/2011/10 ... ts-part-i/
http://www.veritasprep.com/blog/2011/10 ... s-part-ii/

Hi Karishma

I just read through your post and solved your Questions in the blog post. However I am a bit confused now, let's take Q2 from your blogpost:

My approach: 10!/5!*(10-5)!=252

What is the difference in our two approaches? When are we supposed to use which one?

Thanks
Intern
Joined: 08 Mar 2017
Posts: 49
Location: India
Concentration: Operations, General Management
Schools: ISB '20, XLRI"20
GMAT 1: 600 Q40 V33
GPA: 2.79
WE: Project Management (Manufacturing)
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

12 Feb 2018, 08:05
mmcooley33 wrote:
The Simplastic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic?

A. 9
B. 12
C. 36
D. 72
E. 108

Nothing mentioned about repetition. so repetition allowed.

3*2*3*2*3= 108
E
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8656
Location: Pune, India
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

12 Feb 2018, 21:32
Gregsterh wrote:
VeritasPrepKarishma wrote:
katzzzz wrote:
thank you! it really helps! for special seating arrangement ( A must proceed by B), guess we use the same approach here rather than the formula as we don't have to choose something from a group?

Yes, you use this concept for arrangements. Here is how you solve linear arrangements with constraints:

http://www.veritasprep.com/blog/2011/10 ... ts-part-i/
http://www.veritasprep.com/blog/2011/10 ... s-part-ii/

Hi Karishma

I just read through your post and solved your Questions in the blog post. However I am a bit confused now, let's take Q2 from your blogpost:

My approach: 10!/5!*(10-5)!=252

What is the difference in our two approaches? When are we supposed to use which one?

Thanks

A password is a permutation (or arrangement) problem. So ABDFG is different from BDAFG.
You have used 10C5 which is the number of ways in which we SELECT the 5 letters to use. We also need to ARRANGE them so we need to multiply by 5! to get
[10!/5!*(10-5)!] * 5! = 10!/5! = 10*9*8*7*6
_________________

[b]Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 28 Dec 2017
Posts: 11
The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

12 Feb 2018, 21:52
In Question there is not mentioned that repetition is not allowed , so we can assume that same vowel or consonant can occur multiple times but with different noun .
That's why solution must be like that -
C V C V C
3*2*3*2*3 =108.
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13050
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

05 Mar 2018, 11:42
Hi All,

The question you posted has a small typo in it. I believe it's means to say….

2 unique Vowels
3 unique Consonants

We're asked for all of the various 5 letter "nouns" that follow the pattern CVCVC (in which C is a consonant and V is a vowel) and that could occur in this language.

This is essentially just a permutation question. Since there are 3 different consonants and 2 different vowels, we would end up with…

(3)(2)(3)(2)(3) = 108 different 5 letter "nouns"

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!*****

Intern
Joined: 19 Aug 2015
Posts: 4
Re: The Simplastic language has only 2 unique values and 3  [#permalink]

### Show Tags

20 Nov 2018, 18:54
CVCVC
There are 108 different ways of selecting CVCVC (in this format only).
Event of selecting first consonant is independent of selecting Vowvel for 2nd event.
Thats's why we are multiplying 3*2*3*2*3
Re: The Simplastic language has only 2 unique values and 3 &nbs [#permalink] 20 Nov 2018, 18:54

Go to page   Previous    1   2   [ 28 posts ]

Display posts from previous: Sort by