X = 101102103104105106107......146147148149150 (From numbers 101-150). Find out the remainder when this number is divided by 9.
Choose the correct choice from the following answers
A) 2
B) 4
C) 5
D) 6
E) 7
Sol:   The divisibility rule for 9 is sum of the digits is to be divisible by 9. So   We calculate separately, sum of the digits in hundreds place, tenths place, and units place.   Sum of the digits in hundreds place: 1 x 50 = 50   Sum of the digits in tenths place : 0 x 9 + 1 x 10 + 2 x 10 + 3 x 10 + 4 x 10 + 5 x 1 = 105   Sum of the digits in units place : (1 + 2 + 3 + ...+ 9) x 5 = 225   So total = 380   So remainder = 380 / 9 = 2   2nswer:2
<result>A</result>
X = 101102103104105106107......146147148149150 (From numbers 101-150). Find out the remainder when this number is divided by 9.