# CAT 2019 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 28

This is an interesting question that appeared in CAT 2019. While it looks tough, on looking further it is a very solvable question. All CAT previous year paper have similar questions that can be solved easily when a small construction is done. Once you arrive at the diagram, it is a very easy question.

Question 28 : Let S be the set of all points (x,y) in the x-y plane such that |x| + |y| ≤ 2 and |x| ≥ 1. Then, the area, in square units, of the region represented by S equals [TITA]

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Construct the given data on a rough graph.
Required area = Sum of area of two smaller triangles [ (-2,0) (-1,1) (-1,-1) and (2,0) (1,-1) (1,1) ]
Required area = 2 x x base x height
Required area = 1 x 2 = 2 Sq units

The question is "Let S be the set of all points (x,y) in the x-y plane such that |x| + |y| ≤ 2 and |x| ≥ 1. Then, the area, in square units, of the region represented by S equals [TITA] "

##### Hence, the answer is 2

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