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GATE Mechanical 2020 Set 1 | GA Question: 5

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The graph of  $y = [x]$ for $x \in [1, 4]$.

The required area $ = (1 \times 1) + (1 \times 2) + (1 \times 3)  = 1 + 2 + 3 = 6 \;\text{unit}^{2}. \quad [\because $ Area of rectangle =  Base $ \times $ Height $]$

So, the correct answer is $(D).$

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