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Cubes C1, C2, C3... and spheres S1, S2, S3... are defined in the following way.
• S1 has radius 1cm.
• For each n > 0, Cn is inscribed in Sn and Sn+1 is inscribed in Cn (i.e. C1 is inscribed in S1, S2 is inscribed in C1, C2 is inscribed in S2 and so on).
Let Vn be the sum of the volumes of the first n cubes C1, C2,..., Cn. Then as n → ∞ Vn approaches
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• 4(1+3√3)/13
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• 2(1+3√3)/13
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• ∞, i.e. Vn is unbounded
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• 1(1+3√3)/13
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• 6(1+3√3)/13
Read Solution (Total 6)
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- ya Gatatri sure thise r tcs this year questions...
- 11 years agoHelpfull: Yes(17) No(2)
- its of tcs-ignite set...can ne1 provide me the ans plz..
- 11 years agoHelpfull: Yes(6) No(0)
- are the questions posted here are appearing for the tcs written test(minimum)
- 11 years agoHelpfull: Yes(2) No(1)
- s me too have same doubt GAYATRI!!
- 11 years agoHelpfull: Yes(0) No(1)
- how u teling??umesh
- 11 years agoHelpfull: Yes(0) No(3)
- Cubes C1, C2, C3... and spheres S1, S2, S3... are defined in the following way.
S1 has radius 1cm.
For each n > 0, Cn is inscribed in Sn and Sn+1 is inscribed in Cn (i.e. C1 is inscribed in S1, S2 is inscribed in C1, C2 is inscribed in S2 and so on).
Let Vn be the sum of the volumes of the first n cubes C1, C2,..., Cn. Then as n → ∞ Vn approaches - 10 years agoHelpfull: Yes(0) No(2)
TCS Other Question
If 11 points X1, X2, ..., X11 are chosen on a straight line in that order (but not necessarily evenly spaced), and Y is an arbitrary point on the line and S is the sum of the distances YX1, YX2, ..., YX11, then S is minimized when the point Y is
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• at X11
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• midway between X1 and X11
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• midway between X5 and X7
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• at X6
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• midway between X2 and X10
Given a 9 x 14 chessboard, a rook is placed at the lower left corner. Players A and B take turns moving the rook. A plays first and each turn consists of moving the rook horizontally to the right or vertically above. The last person to make a move wins the game. At the completion of the game, the rook will be at the top right corner. For example, the figure below shows a 3 x 4 chessboard and the sequence of moves that leads to a win for player A.
What is a winning first move for A (in the given 9 x 14 chessboard) ?