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GMAT Prep Question : Number Theory : Dec 13, 04
How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?
- 6
- 7
- 5
- 8
- 18
Correct Choice (B) Answer (7)
Explanatory Answer
Find the number of such integers existing for a lower power of 10 and extrapolate the result of the present case.
Between 10 and 100, that is 101 and 102, we have 2 numbers, 11 and 20.
Similarly, between 100 and 1000, that is 102 and 103, we have 3 numbers, 101, 110 and 200.
Therefore, between 106 and 107, one will have 7 integers whose sum will be equal to 2.
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