Suppose n is an integer such that the sum of digits on n is 2, and 10^{10} < n < 10^{11}. The number of different values of n is

CAT 2004 Question Paper Question 14

Question 14

Suppose n is an integer such that the sum of digits on n is 2, and $$10^{10} < n < 10^{11}$$. The number of different values of n is

Solution

The sum of digits should be 2. The possibilities are 1000000001,1000000010,10000000100,..these 10 cases . Also additional 1 case where 20000000000. Hence option A .

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CAT 2004 Question Paper Question 14

Suppose n is an integer such that the sum of digits on n is 2, and $$10^{10} < n < 10^{11}$$. The number of different values of n is

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