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How many three digit integers between 100 and 200, have a digit which
[#permalink]
18 Mar 2021, 02:54
18 Mar 2021, 02:54
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How many three digit integers between 100 and 200, have a digit which is the average of other two digits?
A. 1
B. 7
C. 10
D. 11
E. 19
A. 1
B. 7
C. 10
D. 11
E. 19
Re: How many three digit integers between 100 and 200, have a digit which
[#permalink]
18 Mar 2021, 09:40
18 Mar 2021, 09:40
3
Solution:
As the range provided is between 100-200, the hundreds place will always be 1.
Taking odd numbers for tens place gives us
111
132
153
174
195
We can now change the number at units place with the number at the ten's place
123
135
147
159
Now, 1 is also an avg of 2. Therefore, either the units or tens place can have 2.
102 & 120
IMO D
Hope this helps!
As the range provided is between 100-200, the hundreds place will always be 1.
Taking odd numbers for tens place gives us
111
132
153
174
195
We can now change the number at units place with the number at the ten's place
123
135
147
159
Now, 1 is also an avg of 2. Therefore, either the units or tens place can have 2.
102 & 120
IMO D
Hope this helps!
gmatclubot
Re: How many three digit integers between 100 and 200, have a digit which [#permalink]
18 Mar 2021, 09:40
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