isi-entrance 2022 Q19

isi-entrance · India · UGA Number Theory Modular Arithmetic Computation
The number of positive integers $n$ less than or equal to 22 such that 7 divides $n ^ { 5 } + 4 n ^ { 4 } + 3 n ^ { 3 } + 2022$ is
(A) 7
(B) 8
(C) 9
(D) 10
The number of positive integers $n$ less than or equal to 22 such that 7 divides $n ^ { 5 } + 4 n ^ { 4 } + 3 n ^ { 3 } + 2022$ is\\
(A) 7\\
(B) 8\\
(C) 9\\
(D) 10