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Q133
(IAS/2000)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics
In the given figure, all line segments of the shaded portion are of the same length and at right angles to each other. The same can be cut out of a board of side 10 cm. What is the area of the shaded portion ?
Result
Your answer:
—
·
Correct:
C
Explanation
To solve this, imagine the 10 cm board as a grid. Since the total side is 10 cm and the figure is composed of 5 equal segments across its width, each segment length is 2 cm (10 ÷ 5 = 2). This means each small square in the grid has an area of 4 cm² (2 × 2). By counting the squares in the shaded cross-like pattern, we find there are 13 squares in total (1 in the top/bottom rows, 3 in the second/fourth, and 5 in the middle). The total area is 13 squares × 4 cm² = 52 cm².
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