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

Question

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%

EgmatQuantExpert · Answer

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.
  Answer: A

ScottTargetTestPrep · Answer

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%.

Answer: A

LeoN88 · Answer

First find total number of numbers in the set=> (999-100) + 1= 900, so there are 900 total numbers.  Inclusive 
manually calculate the total number of numbers in the form XXX=> 9

Answer= (9/900) * 100 = 1%

A

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

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

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