Concept:Use the standard divisibility rules for
6,
11,
4, and
9.
Explanation:First, calculate the sum of the digits of the number.
Sum of digits
=9+7+4+5+8+1+2+9+7+4+2+6=64.
Since
64 is not divisible by
3, the number is not divisible by
6 or
9.
The last two digits are
26, which is not divisible by
4, so the number is not divisible by
4.
Now check divisibility by
11.
Sum of digits at odd positions
=9+4+8+2+7+2=32.
Sum of digits at even positions
=7+5+1+9+4+6=32.
Difference
=32−32=0.
Since the difference is
0 or a multiple of
11, the number is divisible by
11.
Answer:The number is divisible by
11.
Correct option: B.
11