CAT 2004 — QA Question 9
DivisibilityEasy
Suppose n is an integer such that the sum of the digits of n is 2, and 1010 < n < 1011. The number of different values for n is
Answer & solution
11
- B
10
- C
9
- D
8
Solution
1010 < n < 1011
∴ 10000000000 < n < 100000000000
As the sum of the digits of n = 2, n can be any one out of
11000000000
10100000000
10010000000
...
10000000001 … (10 such numbers)
or n can be 20000000000
∴ There are 11 such values of n.
Hence, option (a).