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UPSC 2000: 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?
(a)36 cm²
(b)48 cm²
(c)52 cm²
(d)64 cm²
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Not attemptedCorrect Answer: (c) 52 cm²
Dividing the 10 cm × 10 cm board into equal small squares (each line segment is one unit), the shaded ‘stepped’ figure occupies 13 of those 25 unit squares, giving area = 13 × (10 cm ⁄ 5)² = 13 × 4 = 52 cm². Other options correspond to counting 9 (36 cm²) or 12 (48 cm²) unit squares, or treating the whole board as shaded (64 cm²). ([examrobot.com](https://examrobot.com/content/given-figure-all-line-segments-shaded-portion-are-same-length-and-right-angles-each-other))
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Frequently Asked Questions
What is the correct answer to this UPSC 2000 Science & Technology question?▼
The correct answer is option (c): 52 cm². Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2000, GS Paper 1, as Question 133. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.