Q90. If the shortest distance between the lines $\frac { x + 2 } { 2 } = \frac { y + 3 } { 3 } = \frac { z - 5 } { 4 }$ and $\frac { x - 3 } { 1 } = \frac { y - 2 } { - 3 } = \frac { z + 4 } { 2 }$ is $\frac { 38 } { 3 \sqrt { 5 } } \mathrm { k }$, and $\int _ { 0 } ^ { \mathrm { k } } \left[ x ^ { 2 } \right] \mathrm { d } x = \alpha - \sqrt { \alpha }$, where $[ x ]$ denotes the greatest integer function, then $6 \alpha ^ { 3 }$ is equal to $\_\_\_\_$墐
\section*{ANSWER KEYS}
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1. (3) & 2. (1) \\
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9. (3) & 10. (3) \\
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17. (1) & 18. (2) \\
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25. (16) & 26. (1) \\
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33. (4) & 34. (3) \\
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41. (4) & 42. (1) \\
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49. (4) & 50. (1) \\
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57. (100) & 58. (4) \\
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65. (1) & 66. (3) \\
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