Question : What are the values of ‘&’ and ‘#’, respectively, if the following number is perfectly divisible by 9?
51&918#0
Option 1: 9 and 8
Option 2: 2 and 2
Option 3: 4 and 5
Option 4: 8 and 4
Correct Answer: 8 and 4
Solution :
Divisibility rule of 9 ⇒ If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.
51&918#0
= 5 + 1 + & + 9 + 1 + 8 + # + 0
= 24 + & + #
The nearest multiple of 9 is 27, 36.
So, & + # should be either 3 or 12.
So, from the options, we can infer that
8 + 4 = 12
$\therefore$ 51891840 = 5 + 1 + 8 + 9 + 1 + 8 + 4 + 0 = 36
Since 36 is divisible by 9, the number formed is perfectly divisible by 9.
Hence, the correct answer is 8 and 4.
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