Question

if '23576x' is divisible bg 36 ,then x=

Answer 1

To be divisible by 36 ,it must be divisible by 9 and 4 ;,to be divisible by 9thesum of digits should be divisible by 9 but it 23which is not divisibleby 9 also for divisible by 4 it's last two digits should be divisible by 4 ..and it is 76 which is divisible by 4 ..so,9 must be multiplied so ,x=9. hope u understand..

Answer 2

The value of x is 4.

Step-by-step explanation:

Divisibility of 36,

A number is divisible by 36 if the number is divisible by 4 and 9.

A number is divisible by 4 if the number formed by its last 2 digits is divisible by 4.

A number is divisible by 9 if the sum of the digits of the number is divisible by 9.

The number is '23576x'.

First we check for divisibility of 4,

Last two digit is divisible by 4 i.e. 6x,

x=1, 61 is not divisible by 4.

x=2, 62 is not divisible by 4.

x=3, 63 is not divisible by 4.

x=4, 64 is divisible by 4.

x=5, 65 is not divisible by 4.

x=6, 66 is not divisible by 4.

x=7, 67 is not divisible by 4.

x=8, 68 is divisible by 4.

x=9, 69 is not divisible by 4.

Now, check for divisibility of 9 at x=4 and 8.

The sum of digits is divisible by 9.

i.e. 2+3+5+7+6+x=23+x

For x=4, 23+4=27 is divisible by 9.

For x=8, 23+8=31 is not divisible by 9.

So, the number which is divisible by 4 and 9 and 36 is 235764.

Therefore, the value of x is 4.

#Learn more

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