The largest five-digit number that is exactly divisible by 81 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 99954
In the given question we will try to eliminate the given options. 81 is a multiple of 9 so will check the divisibility of 9 in the given options.
Option 1: The digital sum of 99954 is 9 + 9 + 9 + 5 + 4 = 36 ⇒ 3 + 6 = 9
Yes, this could be divisible by 81.
Option 2: The digital sum of 99876 is 9 + 9 + 8 + 7 + 6 = 39 ⇒ 3 + 9 = 12 which is not.
No, this can't be divisible by 81.
Option 3: The digital sum of 99989 is 9 + 9 + 9 + 8 + 9 = 44 ⇒ 4 + 4 = 8 which is not.
No, this can't be divisible by 81.
Option 4: The digital sum of 99991 is 9 + 9 + 9 + 9 + 1 = 37 ⇒ 3 + 7 = 10 which is not.
No, this can't be divisible by 81.