isi-entrance 2022 Q9

isi-entrance · India · UGA Number Theory Modular Arithmetic Computation
Suppose the numbers 71, 104 and 159 leave the same remainder $r$ when divided by a certain number $N > 1$. Then, the value of $3 N + 4 r$ must equal:
(A) 53
(B) 48
(C) 37
(D) 23
Suppose the numbers 71, 104 and 159 leave the same remainder $r$ when divided by a certain number $N > 1$. Then, the value of $3 N + 4 r$ must equal:\\
(A) 53\\
(B) 48\\
(C) 37\\
(D) 23