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UPSC Prelims

Mathematics

Theme:

Plane Geometry / समतल ज्यामिति

Q48 2017, Plane Geometry

There are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. What is the maximum number of rectangles and squares that can be formed?

एक पटल पर 4 क्षैतिज और 4 ऊर्ध्वाधर रेखाएँ हैं, जो एक-दूसरे के समानांतर और समान दूरी पर हैं। इनसे अधिकतम कितने आयत और वर्ग बनाए जा सकते हैं?

Explanation Please wait..

There are 4 horizontal lines and 4 vertical lines.

So to make a rectangle, we have to select any 2 vertical lines and any 2 horizontal lines.

That can be done in 4C2 x 4C2 ways, that is a total of 36 ways.

व्याख्या Please wait..

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