write a digit in the blank space so that the number formed is divisible by 11....no. is 92_389
Answers
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
•••♪
write a digit in the blank space so that the number formed is divisible by 11 question of 4765 dash 2