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Q.


For what value of ‘x’, 65x5 is divisible by 9?
 


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a

2

b

3

c

4

d

1  

answer is A.

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Detailed Solution

Given that 65x5 is divisible by 9.
We have to find the value of x.
The divisibility rule for 9 is that the sum of digits should be a multiple of 9.
Using this rule,
Sum of digits = 6+5+5+x = 16+x
The closest multiple to the sum is 18, so we equate the sum to 18.
16+x=18
x = 2
If we put x = 2 in the number, then 65x5 becomes 6525, which is divisible by 9.
Thus, the value of x is 2.
Therefore, the correct option is 1.

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