The numbers 450 and 460 are not divisible by 11.
Now, both the numbers 451 and 462 are divisible by 11.
Distance between 457 and 451 on the number line = 457 − 451 = 6
Distance between 457 and 462 on the number line = 462 − 457 = 5
Thus, the whole number nearest to 457 and divisible by 11 is 462.
Hence, the correct answer is option (d).