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 Maths.
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  • 1 Answer(s)

    Answer: (4) 202860

    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.
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