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

It is currently 20 Sep 2018, 11:53

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

In a class of 34 students, X know how to sing, Y know how to dance. If

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

Hide Tags

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1343
Location: India
Premium Member
In a class of 34 students, X know how to sing, Y know how to dance. If  [#permalink]

Show Tags

New post 02 Jul 2018, 11:28
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

23% (02:18) correct 77% (01:39) wrong based on 13 sessions

HideShow timer Statistics

In a class of 34 students, X students know how to sing, Y students know how to dance. If each of these 34 students knows at least one skill out of singing and dancing, then how many know how to both sing and dance?

(1) Out of 34 students, Y-3 students do not know how to sing.

(2) Out of 34 students, X-3 students do not know how to dance.
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1343
Location: India
Premium Member
Re: In a class of 34 students, X know how to sing, Y know how to dance. If  [#permalink]

Show Tags

New post 04 Jul 2018, 23:11
amanvermagmat wrote:
In a class of 34 students, X students know how to sing, Y students know how to dance. If each of these 34 students knows at least one skill out of singing and dancing, then how many know how to both sing and dance?

(1) Out of 34 students, Y-3 students do not know how to sing.

(2) Out of 34 students, X-3 students do not know how to dance.


Out of 34 students, X can sing, Y can dance and there could be some common students who could dance as well as sing. We have to identify how many are those common students. Lets assume those to be K. So now,
X students can sing, out of which K can also dance. This means X-K are those who can only sing, but not dance.
Y students can dance, out of which K can also sing. This means Y-K are those who can only dance, not sing.
We have to find K.

(1) Y-3 cannot sing, so they are those who can only dance (everyone can do at least one of singing or dancing). This means Y-K = Y-3 or K=3. Sufficient.

(2) X-3 cannot dance, so they are those who can only sing (everyone can do at least one of singing or dancing). This means X-K = X-3 or K=3. Sufficient.

Hence D answer
Re: In a class of 34 students, X know how to sing, Y know how to dance. If &nbs [#permalink] 04 Jul 2018, 23:11
Display posts from previous: Sort by

In a class of 34 students, X know how to sing, Y know how to dance. 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®.