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What is the sum of integers that are multiples of 3, from 30 to 90, bo

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What is the sum of integers that are multiples of 3, from 30 to 90, bo  [#permalink]

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New post 20 Mar 2019, 19:33
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (01:53) correct 29% (02:12) wrong based on 38 sessions

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What is the sum of integers that are multiples of 3, from 30 to 90, both inclusive?

A. 2520

B. 1260

C. 1850

D. 3700

E. 1140

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Re: What is the sum of integers that are multiples of 3, from 30 to 90, bo  [#permalink]

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New post 20 Mar 2019, 20:35
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fitzpratik wrote:
What is the sum of integers that are multiples of 3, from 30 to 90, both inclusive?

A. 2520

B. 1260

C. 1850

D. 3700

E. 1140


let n=total multiples of 3
30+3(n-1)=90
n=21
30+90=120
120/2=60
60*21=1260 sum
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What is the sum of integers that are multiples of 3, from 30 to 90, bo  [#permalink]

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New post 29 Mar 2019, 09:29
this is evenly space set since each number would be different by 3
Mean = Median = (first + last)/2 = (90+30)/2 = 60.
Total numbers that are divisible by 3 = (90-30)/3 +1= 21
Sum = Mean * total number = 60*21 = 1260. Hence B
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What is the sum of integers that are multiples of 3, from 30 to 90, bo   [#permalink] 29 Mar 2019, 09:29
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What is the sum of integers that are multiples of 3, from 30 to 90, bo

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