msk0657 wrote:

Bunuel wrote:

How many multiples of 7 are there between 700 and 1000, inclusive?

A. 43

B. 42

C. 22

D. 21

E. 20

This is how I tried...

There are exactly 301 numbers between 700 to 1000..

701 to 800 = 100

801 to 1000 = 200...Total 300 numbers , count 700 too..

301/7 = 43...

IMO option A.

Even though your approach seems bizarre, you have got the right answer. One should find the least and the largest number that is divisible by 7. The least number between 700-1000 that is the multiple of 7 is 700 and the largest is 994. We subtract 700 from 994 to get the numbers of the range, which is 294. Meanwhile, the inclusion means that we should also take into account 994 itself. When we count the possibilities through 294, we ignore 994 itself.

In the range of 1-10, when you subtract 10-1=9 which itself omits 10 from the range. The same applies to the problem.

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Seryozha Sargsyan 21

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