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What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?

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by AAPL » Sat Sep 19, 2020 2:55 pm

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D

E

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Economist GMAT

What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?

A. 8,000
B. 10,400
C. 12,500
D. 13,000
E. 15,000

The OA is D
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Re: What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?

by swerve » Sun Sep 20, 2020 8:35 am
AAPL wrote: ↑
Sat Sep 19, 2020 2:55 pm
 Economist GMAT

What is the sum of all consecutive multiples of 8 between 400 and 600, inclusive?

A. 8,000
B. 10,400
C. 12,500
D. 13,000
E. 15,000

The OA is D
We can try as follows:

\(400\) is \(8\cdot 50\) and \(600\) is \(8\cdot 75\)

Average of \(400\) and \(600= 500\), extreme multiples of \(8\)

Number of multiples of \(8=75-50+1=26\)

Sum \(= \text{Number of multiples} \cdot \text{average}= 26 \cdot 500=13000\)
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