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

It is currently 19 Aug 2019, 22:28

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

A number is randomly chosen from the first 100 positive integers. 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: 57083
A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 03 Jan 2019, 04:48
1
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (00:42) correct 19% (01:22) wrong based on 78 sessions

HideShow timer Statistics

General GMAT Forum Moderator
User avatar
V
Joined: 15 Jan 2018
Posts: 508
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Premium Member Reviews Badge
Re: A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 03 Jan 2019, 06:12
2

Total number ways of choosing a number from the first 100 positive integer = 100 ways
Total number of multiples of 3 between 1 and 100 is 33, i.e. 3, 6, 9....99 = 33 multiples
Hence, the number ways of choosing a multiple of 3 from the first 100 positive integer = 33 ways
Therefore, when a number is randomly chosen from the first 100 positive integers, the probability that it is a multiple of 3 = 33/100

Hence, the Correct Answer is Option B. 33/100

_________________
In case you find my post helpful, please provide me with kudos. Thank you!

New to GMAT Club or overwhelmed with so many resources? Follow the GMAT Club Study Plan!
Not happy with your GMAT score? Retaking GMAT Strategies!
Manager
Manager
avatar
G
Joined: 26 Dec 2018
Posts: 142
Location: India
Re: A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 03 Jan 2019, 06:44
1
Given : A number is randomly chosen from the first 100 positive integers.
Question : What is the probability that it is a multiple of 3?

We need to find the number of multiples of 3 in first 100 POSITIVE integers.
By AP we have
Tn = a + (n-1)*d (where, Tn = 99; a= 3; d =3)
99 = 3 + (n-1)* 3
96 = (n-1)* 3
32 = (n-1)
n = 33

Therefore, the probability that chosen number in first 100 is a multiple of 3 is given by
= No. of favorable outcomes / Total no. of outcomes
= 33 / 100
Answer Option B is Correct.
_________________
GOOD LUCK!
Intern
Intern
avatar
B
Joined: 05 Aug 2018
Posts: 17
GMAT 1: 650 Q46 V34
Re: A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 03 Jan 2019, 06:47
Bunuel wrote:
A number is randomly chosen from the first 100 positive integers. What is the probability that it is a multiple of 3?


(A) 32/100

(B) 33/100

(C) 1/3

(D) 34/100

(E) 2/3



No of Possibilities = 100
Multiples of 3 from 1 to 100 = 33

Hence, Probability = 33/100
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4476
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 06 Jan 2019, 05:26
Bunuel wrote:
A number is randomly chosen from the first 100 positive integers. What is the probability that it is a multiple of 3?


(A) 32/100

(B) 33/100

(C) 1/3

(D) 34/100

(E) 2/3




33 multiples of 3 from 1 to 100
so
33/100 would be the P of multiples of 3 in between 1 to 100

IMO B
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager
Manager
avatar
S
Joined: 12 Dec 2017
Posts: 77
Location: India
Schools: Yale '19, GMBA '20, XLRI
GMAT 1: 660 Q46 V35
GPA: 3.8
A number is randomly chosen from the first 100 positive integers. What  [#permalink]

Show Tags

New post 06 Jan 2019, 05:30
2
1
A number is randomly chosen from the first 100 positive integers. What is the probability that it is a multiple of 3?

EASY FORMULA FOR SUCH QUESTIONS:

1+ [ {last multiple of increment in the given range - first multiple of the increment in the range} / increment ]

Here increment = 3
range = 1-100 (first 100 positive numbers)

Answer = 1+ [ {99-3} / 3 ]
= 1+ 96/3
= 1+ 32
= 33

PLEASE KUDOS IF THIS HELPED! :D
GMAT Club Bot
A number is randomly chosen from the first 100 positive integers. What   [#permalink] 06 Jan 2019, 05:30
Display posts from previous: Sort by

A number is randomly chosen from the first 100 positive integers. What

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





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