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

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Joined: 02 Sep 2009
Posts: 52161
What percent of the integers between 100 and 999, inclusive, have all  [#permalink]

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10 May 2018, 00:33
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Difficulty:

5% (low)

Question Stats:

92% (01:11) correct 8% (01:54) wrong based on 93 sessions

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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%

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Re: What percent of the integers between 100 and 999, inclusive, have all  [#permalink]

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10 May 2018, 01:38

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.
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Re: What percent of the integers between 100 and 999, inclusive, have all  [#permalink]

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13 May 2018, 16:58
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%.

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Re: What percent of the integers between 100 and 999, inclusive, have all &nbs [#permalink] 13 May 2018, 16:58
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