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Plz Explain with method

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by Nycgrl » Thu Jun 19, 2008 11:24 am
What is the total number of integers between 100 and 200 that are divisible by 3?
(A) 33
(B) 32
(C) 31
(D) 30
(E) 29
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by kishore » Thu Jun 19, 2008 11:55 am
You can use the formula:
((max-min)/distance between two consecutive integer)) +1

We can solve above question much more easily by this formula:

max number divisible to 3 = 198
min number divisible to 3 = 102

So total number between 100 and 200 that is divisible to 3 = (198-102)/3 + 1 = 33
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by Nycgrl » Thu Jun 19, 2008 11:57 am
Thanks Kishore
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by AleksandrM » Thu Jun 19, 2008 5:30 pm
Hey kishore, I used the following method.

Since the question is asking for the number BETWEEN, I just subtracted 100 from 200 and divided 100 by 3, which returned a quotient of 33 (I ignored the remainder since we are asked for the number of integers).

Is my correct answer and accident or just another approach to this problem?
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by g_beatthegmat » Thu Jun 19, 2008 10:50 pm
@AleksandrM

Is my correct answer and accident or just another approach to this problem?
This would not always work. Say if the question gave the range of 102 to 200. Difference = 98. Quotient when 98 is divided by 3 = 32. Which isn't the right answer.

The techniques discussed in the posts above are the right ones.

Thanks.
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