cmi-entrance 2022 QA5

cmi-entrance · India · ugmath_23may 4 marks Number Theory Combinatorial Number Theory and Counting
Statements
(17) $\sqrt [ 4 ] { 4 } < \sqrt [ 5 ] { 5 }$. (18) $\log _ { 10 } 11 > \log _ { 11 } 12$. (19) $\frac { \pi } { 4 } < \sqrt { 2 - \sqrt { 2 } }$. (20) $( 2022 ! ) ^ { 2 } > 2022 ^ { 2022 }$.
\textbf{Statements}

(17) $\sqrt [ 4 ] { 4 } < \sqrt [ 5 ] { 5 }$.\\
(18) $\log _ { 10 } 11 > \log _ { 11 } 12$.\\
(19) $\frac { \pi } { 4 } < \sqrt { 2 - \sqrt { 2 } }$.\\
(20) $( 2022 ! ) ^ { 2 } > 2022 ^ { 2022 }$.