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How many multiples of 3 are there between -40 and 40?

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How many multiples of 3 are there between -40 and 40?  [#permalink]

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New post 30 Sep 2016, 07:36
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How many multiples of 3 are there between -40 and 40?
A. 13 B. 17 C. 23 D. 26 E. 27

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Re: How many multiples of 3 are there between -40 and 40?  [#permalink]

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New post 30 Sep 2016, 07:41
MathRevolution wrote:
How many multiples of 3 are there between -40 and 40?
A. 13 B. 17 C. 23 D. 26 E. 27



This is how I tried.

( NOTE : Zero is a multiple of every integer (except zero itself)

There are total 81 numbers... -40 to -1 = 40 and 1 to 40 = 40 and zero...we get 81.

81/3 = 27.

Option E.
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Re: How many multiples of 3 are there between -40 and 40?  [#permalink]

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New post 30 Sep 2016, 08:22
MathRevolution wrote:
How many multiples of 3 are there between -40 and 40?
A. 13 B. 17 C. 23 D. 26 E. 27


Total number = 80

Divisible by 3 is \(\frac{80}{3} + 1\) = 27

Hence correct answer will be E (27)

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Re: How many multiples of 3 are there between -40 and 40?  [#permalink]

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New post 02 Oct 2016, 03:52
==> The number of multiples of three between 1 and 40 is 13, and the number of multiples of 3 between -1 and -40 is also 13. However, since 0 is a multiple of all integers, 13+13+1=27. Hence the answer is E.
Answer: E
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Re: How many multiples of 3 are there between -40 and 40?  [#permalink]

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New post 26 Feb 2018, 11:21
MathRevolution wrote:
How many multiples of 3 are there between -40 and 40?

A. 13 B. 17 C. 23 D. 26 E. 27


We can use the formula:

(largest multiple of 3 - smallest multiple of 3)/3 + 1

[(39 - (-39)]/3 + 1 = 78/3 + 1 = 26 + 1 = 27

Answer: E
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Re: How many multiples of 3 are there between -40 and 40?   [#permalink] 26 Feb 2018, 11:21
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