GATE 2013 CS (CS1) – Question 3

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

What is the maximum sum of the sequence 44,42,40,…?

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Correct answer: (C) 506

Explanation

To maximize a prefix sum, include all positive terms and optionally the following zero, but stop before negatives. The positive terms are 44,42,…,2, twenty-two terms with mean (44+2)/2=23. Their sum is 22×23=506, C.

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