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

It is currently 23 Oct 2019, 11:44

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

If the set S consists of all non-negative integers less than 7, what

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 08 Jul 2015, 03:32
1
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (01:20) correct 29% (01:38) wrong based on 300 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post Updated on: 23 Oct 2018, 07:15
4
Bunuel wrote:
If the set S consists of all non-negative integers less than 7, what is the probability that a randomly selected integer x of set S will satisfy the inequality 3 > x^2/3?

A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 1

Kudos for a correct solution.


Set, S = {0, 1, 2, 3, 4, 5, 6} [All Non-Negative Integers]

\(3 > \frac{x^2}{3}\)
i.e. \(x^2 < 3*3\)
i.e. \(x^2 < 9\)

Which is true for the values of x = 0, 1 and 2 out of 7 values available in Set S

i.e. Probability = Favourable Outcome / Total Outcome = 3/7

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Originally posted by GMATinsight on 08 Jul 2015, 04:08.
Last edited by GMATinsight on 23 Oct 2018, 07:15, edited 1 time in total.
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2595
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Reviews Badge
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 08 Jul 2015, 04:44
1
Bunuel wrote:
If the set S consists of all non-negative integers less than 7, what is the probability that a randomly selected integer x of set S will satisfy the inequality 3 > x^2/3?

A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 1

Kudos for a correct solution.


Non negative numbers less than 7 will be = {0,1,2,3,4,5,6}

Given inequality : x^2<9 --> (x+3)(x-3)<0 ---> -3<x<3. Thus x can assume 0,1,2 as the values.

Thus the probability = 3/7, C is the correct answer.
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Jun 2015
Posts: 283
Concentration: Finance
GPA: 3.5
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 08 Jul 2015, 06:56
1
Numbers satisfying the criteria are 0, 1, and 2, so 3/7. (C)
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.
Queens MBA Thread Master
avatar
Joined: 24 Oct 2012
Posts: 164
Concentration: Leadership, General Management
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 08 Jul 2015, 22:01
1
Bunuel wrote:
If the set S consists of all non-negative integers less than 7, what is the probability that a randomly selected integer x of set S will satisfy the inequality 3 > x^2/3?

A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 1

Kudos for a correct solution.


Set S is set of NON-NEGATIVE INTEGER less than 7 , S = {0,1,2,3,4,5,6,7}
Total Number of element in set S = 7

We need X such that 3 > x^2/3
or 9 > x^2

Only three number from set S satisfy this condition , those are 0,1,2

Hence Required Probability = Number of Element satisfying condition / Total number of element = 3/7
Hence Option C should be correct.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 13 Jul 2015, 02:27
Bunuel wrote:
If the set S consists of all non-negative integers less than 7, what is the probability that a randomly selected integer x of set S will satisfy the inequality 3 > x^2/3?

A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 1

Kudos for a correct solution.


800score Official Solution:

We are told that S = {0, 1, 2, 3, 4, 5, 6}, that is, all integers from 0 to 6. There are 7 integers in the set. Remember that zero is an integer that is neither negative nor positive.

Now, the expression can be simplified by multiplying both sides by 3. We can do this since the 3 in the denominator is a positive number.

Remember: When you multiply or divide both sides of an inequality by a negative number, you must change the direction of the inequality.

The expression is simplified to 9 > x^2.

The only numbers in S that can be squared and satisfy this condition are 0, 1, and 2. Therefore, 3 of the 7 integers in the set will satisfy the condition, and the desired probability is 3/7.

The correct answer is choice (C).
_________________
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 13 Oct 2017, 09:28
Bunuel wrote:
If the set S consists of all non-negative integers less than 7, what is the probability that a randomly selected integer x of set S will satisfy the inequality 3 > x^2/3?

A. 1/7
B. 2/7
C. 3/7
D. 4/7
E. 1


We see that set S = {0, 1, 2, 3, 4, 5, 6}.

Let’s test each number:

3 > 0^2/3 = 0? yes

3 > 1^2/3 = 1/3? yes

3 > 2^2/3 = 4/3? yes

3 > 3^2/3 = 9/3 = 3? no

Since 3 of 7 numbers (namely, 0, 1, and 2) satisfy the inequality, the probability of getting these 3 numbers is 3/7.

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13421
Re: If the set S consists of all non-negative integers less than 7, what  [#permalink]

Show Tags

New post 18 Oct 2018, 03:26
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 Club Bot
Re: If the set S consists of all non-negative integers less than 7, what   [#permalink] 18 Oct 2018, 03:26
Display posts from previous: Sort by

If the set S consists of all non-negative integers less than 7, what

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





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