# Which of the following, will be fully divided by 45?

1. 331145
2.  181560
3.  2023550
4.  202860
Anurag Mishra Professor Asked on 14th December 2015 in

Explanation:-
Divisibility of 45 :- If a number is divisible by 9 & 5 then that number will be divisible by 45.

Divisibility of 5:- If last digit of a number is 0 or 5 then that number will be divisible by 5.

Divisibility of 9 :- If sum of digits of a number is divisible by 9 than that number will be divisible by 9.

In this question, last digit of all numbers are 0 or 5. So, all numbers are divisible by 5.

Check the divisibility of 9 in all options,

Option (1)  331145
The sum of the digits of 331145 = 3 + 3 + 1 + 1 + 4 + 5
= 17, 17 is not is not divisible by 9.

Option (2) 181560
The sum of the digits of 181560 = 1 + 8 + 1 + 5 + 6 + 0
= 21, 21 is not divisible by 9.

Option (3) 2023550
The sum of the digits of 2023550 = 2 + 0 + 2 + 3 + 5 + 5 + 0
= 17, 17 is not divisible by 9.

Option (4) 202860
The sum of all digits of 202860 = 2 + 0 + 2 + 8 + 6 + 0
= 18, 18 is divisible by 9.

Thus, number 2028860 is completely divisible by 45.

Hence, correct answer is option (4) 202860.

Anurag Mishra Professor Answered on 15th December 2015.