Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2013
Medium
What will be the maximum sum of 44, 42, 40, ......?
- A502
- B504
- 506
- D500
Explanation
The series decreases by 2 each term: 44, 42, ..., 2, 0, -2, .... The running sum is maximized right before the terms turn negative (adding 0 doesn't change the sum, and adding any negative term only decreases it). Summing from 2 to 44 (22 terms, an AP with a=2, d=2): Sum = 22/2 x (2+44) = 11 x 46 = 506.
Source: GATE ME 2013 (Booklet Code A) (2013)
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