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Question

Given that the sum of the odd integers from 1 to 99 inclusive is 2500, what is the sum of the even integers from 2 to 100 inclusive?

A
2450
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B
2550
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C
2460
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D
22500
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Solution

The correct option is B 2550
Odd integers =1,3,5,7,9.....
Sum of odd integers =2500
Even integers =2,4,6,8,,10......
In the series of even integers each term is one more than the each term of odd integers.
Hence, there are 50 terms.
So, the sum of even integers = 2500+50=2550

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