JEE Main 202330 Jan, Evening shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002Let x=(83+13)13x=(8 \sqrt{3}+13)^{13}x=(83+13)13 and y=(72+9)9y=(7 \sqrt{2}+9)^9y=(72+9)9. If [t][t][t] denotes the greatest integer ≤t\leq t≤t, then :AOption A. [x][x][x] is odd but [y][y][y] is evenBOption B. [x][x][x] and [y][y][y] are both oddCOption C. [x]+[y][x]+[y][x]+[y] is evenDOption D. [x][x][x] is even but [y][y][y] is oddCheckSkip · show solution
