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How many multiples of 3 are there between 10 and 90, inclusive?

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Bunuel
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How many multiples of 3 are there between 10 and 90, inclusive? [#permalink] New post   06 Mar 2024, 02:30
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­How many multiples of 3 are there between 10 and 90, inclusive?

A. 26
B. 27
C. 28
D. 29
E. 30


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B
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DhruvBadaya
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Re: How many multiples of 3 are there between 10 and 90, inclusive? [#permalink] New post   06 Mar 2024, 03:11
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27 MULTIPLES

3 * 4 = 12 (Lowest multiple of 3 between 10 and 90)
3 * 30 = 90 (Highest multiple of 3 between 10 and 90)

30 - 4 + 1 = 26 + 1 = 27 (extra 1 because 90 is inclusive)
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poojaarora1818
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Re: How many multiples of 3 are there between 10 and 90, inclusive? [#permalink] New post   06 Mar 2024, 07:28
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]­How many multiples of 3 are there between 10 and 90, inclusive?

A. 26
B. 27
C. 28
D. 29
E. 30
 
This can be solved by using the formula - Highest multiple of 3 - Lowest multiple of 3/3  +1

90-12/3 +1 = 27

 
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Legenddary1234
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Re: How many multiples of 3 are there between 10 and 90, inclusive? [#permalink] New post   06 Mar 2024, 09:44
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IMO B

I don't think any formula or any trick is required. Just some pure logic

let's say between 1-90 how many multiples of 3, simple enough 30 as 3*30=90. but question ask between 10-90.
so before 10 multiple of 3 are 3, 6, 9.

answer 30-3 =27
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Re: How many multiples of 3 are there between 10 and 90, inclusive? [#permalink] New post   25 Mar 2024, 12:13
an = a + (n-1)d
90 = 12 + (n-1)3

n = 27
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Re: How many multiples of 3 are there between 10 and 90, inclusive? [#permalink]
25 Mar 2024, 12:13
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