Which of the following numbers is divisible by 11?
- A958749
- B294621
- C258913
- D956127
Solution & Step-by-step Explanation
A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
Let's test option A (958749):
Sum of digits at odd places (1
st
,3
rd
,5
th
) = 9+8+4=21
Sum of digits at even places (2
th
,4
th
,6
th
) = 5+7+9=21
Difference = 21−21=0
Since the difference is 0, 958749 is divisible by 11.
Let's test option A (958749):
Sum of digits at odd places (1
st
,3
rd
,5
th
) = 9+8+4=21
Sum of digits at even places (2
th
,4
th
,6
th
) = 5+7+9=21
Difference = 21−21=0
Since the difference is 0, 958749 is divisible by 11.