Question

6.Write a digit in the blank space of 95___86 so that the number is divisible by 11 .

Answer 1

Answer:

Hey mate here is your answer

Step-by-step explanation:

Answer =9

Answer 2

Answer:

Digit in the blank = 9

Number is 95986

Step-by-step explanation:

Divisibility Rule by 11:

If the difference between the sum of digits in odd places and sum of digits in even places of a number is a multiple of 11 or equal to zero , then the given number is divisible by 11.

Given number 95_ 86

Let the blank space number is x.

Now,

The number = 95x86

Sum of the digits at odd places ( from the left )

9 + x + 6 = 15 + x ----(1)

Sum of the digits at even places ( from the left )

5+8 = 13 ----(2)

Difference = (1) - (2)

= 15 + x - 13

= 2+ x

Case 1:

2+ x = 0

=> x = -2 ( Not possible )

Case 2 :

2+ x should be divisible by 11

i.e 2+ 9= 11 ( Divisible by 11 )

Therefore,

Digit in the blank = x = 9