Source: GMAT Prep
The sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive?
A. 5,100
B. 7,550
C. 10,100
D. 15,500
E. 20,100
The OA is B
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The sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive?
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BTGmoderatorLU
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For any evenly spaced set:BTGmoderatorLU wrote: ↑Thu Jan 21, 2021 2:27 pmThe sum of the first 50 positive even integers is 2550. What is the sum of even integers from 102 to 200 inclusive?
A. 5,100
B. 7,550
C. 10,100
D. 15,500
E. 20,100
Count = (biggest - smallest)/increment + 1
Average = (biggest + smallest)/2
Sum = (count)(average)
In the problem above:
Smallest = 102
Biggest = 200
Increment = 2 (the distance between one even integer and the next)
Thus:
Count = (200-102)/2 + 1 = 50
Average = (200+102)/2 = 151
Sum = 50*151 = 7550
The correct answer is B.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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