Question 19

The highest possible value of the ratio of a four digit number and the sum of its four digits is:

We need to find the highest possible value of the ratio of a four digit number and the sum of its four digits is:

Let us see the minimum four-digit number

1000

The ratio will be $$\frac{1000}{1+0+0+0}=1000$$

Similarly, for the maximum four-digit number

9999

The ratio will be $$\frac{9999}{9+9+9+9}=277.75$$

The ratio will be maximum when the numerator is maximum and the denominator is minimum.

But as we increase the numerator, the denominator is also increasing.

This results in a decrease in the overall ratio.

Also, from the given options, we see that the maximum ratio can be 1000.

Thus, it is the correcr answer.

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