Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 06:18

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

Set A contains n distinct positive integers, all greater than 1. If th

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

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1230
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Set A contains n distinct positive integers, all greater than 1. If th  [#permalink]

Show Tags

New post 24 Nov 2018, 10:11
4
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (01:43) correct 50% (01:57) wrong based on 41 sessions

HideShow timer Statistics


GMATbuster's Weekly Quant Quiz#10 Ques #6


For Questions from earlier quizzes: Click Here


Set A contains n distinct positive integers, all greater than 1. If the number of even integers in the set is 5 and the set also contains 4 odd prime numbers, what is the value of n?
(1) The set contains 2 odd composite numbers.
(2) The set contains 6 composite numbers.

_________________
Intern
Intern
avatar
B
Joined: 07 Dec 2016
Posts: 10
Re: Set A contains n distinct positive integers, all greater than 1. If th  [#permalink]

Show Tags

New post 24 Nov 2018, 10:59
A.
in the question statement we are given about even numbers and odd prime numbers. The only thing missing is number of odd composite numbers.
So statement one will be sufficient for that.

Posted from my mobile device
Manager
Manager
User avatar
P
Joined: 09 Jun 2018
Posts: 191
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Set A contains n distinct positive integers, all greater than 1. If th  [#permalink]

Show Tags

New post 24 Nov 2018, 11:21
Given: No. of even integers in the set = 5, no. of odd primes = 4

(1) Set contains 2 odd composite numbers, so total odd numbers = total odd comp + total odd prime = 2 + 4 = 6
Total even numbers = 5
So, total numbers = 5 + 6 = 11, Hence Sufficient.

(2) Set has 6 composite numbers. Now here we can have two cases:
2 is a prime number and even. So out of 5 even integers, we can have the following cases:
Case 1: All 5 even integers are composite, i.e. 2 is not a part of the set. Then, remaining 6-5 = 1 composite integer is odd.
So, total odd = 1 composite + 4 prime = 5
total even = 5
Total numbers = 5 + 5 = 10

Case 2: 4 even integers are composite and the other even integer is 2 which is prime.
Then, remaining 6 - 4 = 2 composite numbers are odd.
So, total odd = 2 composite + 4 prime = 6
total even = 5

Total numbers = 5 + 6 = 11

hence statement (2) is Insufficient.

Hence Option A!
_________________
If you found this relevant and useful, please Smash that Kudos button!
GMAT Club Bot
Re: Set A contains n distinct positive integers, all greater than 1. If th   [#permalink] 24 Nov 2018, 11:21
Display posts from previous: Sort by

Set A contains n distinct positive integers, all greater than 1. If th

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne