The number of whole metallic tiles that can be produced by melting and recasting a circular metallic plate, if each of the tiles has a shape of a right-angled isosceles triangle and the circular…
Question and options
The number of whole metallic tiles that can be produced by melting and recasting a circular metallic plate, if each of the tiles has a shape of a right-angled isosceles triangle and the circular plate has a radius equal in length to the longest side of the tile (Assume that the tiles and plate are of uniform thickness, and there is no loss of material in the melting and recasting process) is
- 25
- 12
- 13
- 6
Answer and explanation
Correct answer: B - 12
The plate yields whole tiles. With plate radius , each triangle has legs , giving area and an area quotient of . The fractional part cannot make another whole tile, so rounding up to overcounts.
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IPMAT Indore
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