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UPSC 2015 CDS II Math Paper

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Question : 64

Total: 100

30 metallic cylinders of same size are melted and cast in the form of cones having the same radius and height as those of the cylinders
Consider the following statements :
Statement I : A maximum of 90 cones will be obtained.
Statement II : The Curved surface of the cylinder can be flattened in the shape of a rectangle but the curved surface of the cone when flattened has the shape of triangle.
Which one of the following is correct in respect of the above ?

Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I
Both Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I
Statement I is correct but Statement II is not correct
Statement I is not correct but Statement II is correct

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