Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2020
Medium
Define [x] as the greatest integer less than or equal to x, for each x in (-infinity, infinity). If y = [x], then area under y for x in [1,4] is _____.
- A1
- B3
- C4
- 6
Explanation
On [1,2), [x]=1; on [2,3), [x]=2; on [3,4), [x]=3 (the single point x=4 contributes no area). Area = 1x1 + 1x2 + 1x3 = 1+2+3 = 6.
Source: GATE ME 2020 Session 1 (ME-1) (2020)
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