SOLUTION: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]? (A) 97 (B)

Question 1201933: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]?
(A) 97
(B) 98
(C) 101
(D) 198
(E) 199
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


It is the difference of two sums.


    First  sum is the sum of all even integer numbers from 2 to 100, inclusive.


    Second sum is the sum of all even integer numbers from 2 to 96, inclusive.


    Their difference is  100 + 98 = 198.


ANSWER.  198.  Option D.

Solved.

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Very easy problem.

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