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Problem Solving (PS) | Re: What is the difference of the sum from 26 to 50, inclusive and the sum

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Bunuel wrote:

What is the difference of the sum from 26 to 50, inclusive and the sum from 1 to 25, inclusive?

(A) 500
(B) 525
(C) 600
(D) 625
(E)800


The sum of all integers from 1 to 50, both inclusive =\(\frac{ 50 * 51}{2}\)

The sum of all integers from 1 to 25, both inclusive =\(\frac{ 25 * 26}{2}\)

The sum of all integers from 26 to 50, both inclusive =\(\frac{ 50 * 51}{2} -\frac{ 25 * 26}{2}\)

Question-

What is the difference of the sum from 26 to 50, inclusive and the sum from 1 to 25,inclusive

\(\frac{ 50 * 51}{2} -\frac{ 25 * 26}{2} -\frac{ 25 * 26}{2}\)

\( (25 * 51) - (25*13) -(25*13)\)

\( 25 * (51 -26)\)

\( 25 *25\)

\(625\)

OptionD
...

Statistics : Posted by gmatophobia • on 27 Aug 2023, 11:00 • Replies 1 • Views 85



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