How many numbers are there between 200 to 1000 that are completely divisible by 7?

Correct option is C

Given:

Numbers from 200 to 1000 divisible by 7.

Solution:

The smallest number >200 divisible by 7: 203 (since (28 × 7 = 196), and (29 × 7 = 203)).

The largest number <1000 is divisible by 7: 994 (since (142 × 7 = 994)).

Numbers between 200 and 1000 divisible by 7:

=> Count = $$\frac{\text{Last - First}}{\text{Step}}$$​ + 1

=> Count = $$\frac{(994 - 203)}7$$​ + 1

=> Count =$$\frac{ 791}7$$​ + 1

=> Count = 113 + 1

=> Count = 114

There are 114 numbers between 200 and 1000 that are completely divisible by 7.