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UPSC 1998: LMNOP is a semi-circle with centre at R and diameter LP; LSR and RQP are also semi-circles with centres at T and U and diameters LR = RP = 1⁄2 LP. The ratio of perimeters of LMNOP and LSRQP is
(a)0.75 : 1
(b)1 : 1
(c)1 : 0.75
(d)1.25 : 1
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Not attemptedCorrect Answer: (b) 1 : 1
Each small semicircle has diameter ½ LP; two such semicircles together give the diameter LP, so the combined perimeter of LSRQP equals the perimeter of the large semicircle LMNOP, giving the ratio 1 : 1. ([scribd.com](https://www.scribd.com/document/731910048/1998))
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Frequently Asked Questions
What is the correct answer to this UPSC 1998 Science & Technology question?▼
The correct answer is option (b): 1 : 1. 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 1998, 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.