Loading...
UPSC 1995: Consider the figure given below: PQRS is a square of side 1 unit and Q, S are the centres of the two circles. The area of the shaded portion is
(a)π/2
(b)1/2
(c)π/4 – 1/2
(d)π/2 – 1
Attempt This Question
Not attemptedCorrect Answer: (d) π/2 – 1
Each semicircle has radius ½ unit, so their combined area is π r² = π/2. The square’s area is 1 unit²; shaded area = π/2 – 1. Alternative options give either the semicircle area alone (π/2), half-square area (½), or an incorrect single-segment value (π/4 – ½).
Related UPSC Questions
More from Quantitative Aptitude
1995moderate
Consider the series given below: 4/12/95, 1/1/96, 29/1/96, 26/2/96... The next term of the series is
1995moderate
A rectangular sump of dimensions 6 m × 5 m × 4 m is to be built by using bricks to make the outer dimension 6.2 m × 5.2 m × 4.2 m. Approximately how m
1995moderate
A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he w
Related Science & Technology Topics
Frequently Asked Questions
What is the correct answer to this UPSC 1995 Science & Technology question?▼
The correct answer is option (d): π/2 – 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 1995, GS Paper 1, as Question 139. 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.