(Q). If k! is not divisible by 1155 then find the maximum value of k
(i) 11
(ii) 17
(iii) 10
(iv) 7
Solution:- Since 1155 = 3×5×7×11
if we take k as 11 or above then k! will be completely divisible by 1155 because
So for maximum value take k as 11 – 1 = 10
∴ k = 10 option(iii) Answer