CATAlgebra > Hard2712\frac{27}{12}1227158\frac{15}{8}8151611\frac{16}{11}11161513\frac{15}{13}1315✅ Correct Option: 3Related questions:CAT 2022 Slot 2The average of a non-decreasing sequence of NNN numbers a1,a2,…,aNa_{1}, a_{2}, \ldots, a_{N}a1,a2,…,aN is 300300300. If a1a_{1}a1 is replaced by 6a16 a_{1}6a1, the new average becomes 400400400. Then, the number of possible values of a1a_{1}a1 isCAT 2018 Slot 1Let x,y,zx, y, zx,y,z be three positive real numbers in a geometric progression such that x<y<zx<y<zx<y<z. If 5x,16y5 x, 16 y5x,16y, and 12z12 z12z are in an arithmetic progression then the common ratio of the geometric progression isCAT 2021 Slot 3If n is a positive integer such that (107)(107)2…(107)n>999(\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999(710)(710)2…(710)n>999, then the smallest value of n is