Math, asked by Divyanshu811, 1 year ago

write a digit in the blank space so that the number formed is divisible by 11....no. is 92_389

Answers

Answered by mysticd
84

Answer:

Digit in the blank = 8

Number is 928389

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 92_ 389

Let the blank space number is x.

Now,

The number = 92x389

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

9 + x + 8 = 17 + x ----(1)

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

2 + 3 + 9 = 14 ----(2)

Difference = (1) - (2)

= 17 + x - 14

= 3 + x

Case 1:

3 + x = 0

=> x = -3 ( Not possible )

Case 2 :

3 + x should be divisible by 11

i.e 3 + 8 = 11 ( Divisible by 11 )

Therefore,

Digit in the blank = x = 8

Answered by samugupta83
14

write a digit in the blank space so that the number formed is divisible by 11 question of 4765 dash 2

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