M4maths Previous Puzzles

02 Jul 2020 Numbers

What could be the value of # in this number: 985#865, if this number is divisible by 9?

OPtion

1) 1
2) 2
3) 3
4) 5
5) 4
6) 6
7) 7
8) 8
9) 9
10) None of these

Solution

If a number is divisible by 9, the sum of digits is also divisible by 9

9 + 8 + 5 + # + 8 + 6 + 5 = 9x
41 + # = 9x
Smallest value of 9x would be 45
41 + # = 45
# = 4

Correct Option: 5 Best Solution (1)