GMAT Changed on April 16th - Read about the latest changes here

 It is currently 23 May 2018, 08:09

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 June
Open Detailed Calendar

What percent of the integers between 100 and 999, inclusive, have all

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 45302
What percent of the integers between 100 and 999, inclusive, have all [#permalink]

Show Tags

10 May 2018, 01:33
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:44) correct 8% (01:27) wrong based on 38 sessions

HideShow timer Statistics

What percent of the integers between 100 and 999, inclusive, have all three digits the same?

(A) 1%
(B) 2%
(C) 3%
(D) 4%
(E) 5%

_________________
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1215
Re: What percent of the integers between 100 and 999, inclusive, have all [#permalink]

Show Tags

10 May 2018, 02:38

Solution

To find:
• What percent of the integers between 100 and 999, inclusive, have all three same digits

Approach and Working:
• The numbers, which are in between 100 and 999 and have all three same digits, are 111, 222, 333, 444, 555, 666, 777, 888, 999
o Total 9 numbers are there
• Between 100 and 999, the total number of integers = (999 – 100) + 1 = 899 + 1 = 900
• Therefore, the percentage = $$\frac{9}{900}$$ * 100 = 1%

Hence, the correct answer is option A.
_________________

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2611
Location: United States (CA)
Re: What percent of the integers between 100 and 999, inclusive, have all [#permalink]

Show Tags

13 May 2018, 17:58
Bunuel wrote:
What percent of the integers between 100 and 999, inclusive, have all three digits the same?

(A) 1%
(B) 2%
(C) 3%
(D) 4%
(E) 5%

There are 9 possible options to get all the digits the same in the numbers 100 to 999 inclusive:

111, 222, 333, 444, 555, 666, 777, 888, 999

There are 900 numbers from 100 to 999 inclusive.

So the percent is 9/900 = 1/100 = 1%.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: What percent of the integers between 100 and 999, inclusive, have all   [#permalink] 13 May 2018, 17:58
Display posts from previous: Sort by