jee-main 2026 Q25

jee-main · India · session1_24jan_shift2 Number Theory Divisibility and Divisor Analysis
The maximum value of $\mathbf { n }$ for which $\mathbf { 4 0 } ^ { \mathbf { n } }$ divides $\mathbf { 6 0 }$ ! Is equal to
(A) 11
(B) 13
(C) 14
(D) 12
The maximum value of $\mathbf { n }$ for which $\mathbf { 4 0 } ^ { \mathbf { n } }$ divides $\mathbf { 6 0 }$ ! Is equal to\\
(A) 11\\
(B) 13\\
(C) 14\\
(D) 12