jee-main 2023 Q67

jee-main · India · session2_08apr_shift2 Number Theory Congruence Reasoning and Parity Arguments
$25 ^ { 190 } - 19 ^ { 190 } - 8 ^ { 190 } + 2 ^ { 190 }$ is divisible by
(1) neither 14 nor 34
(2) 14 but not by 34
(3) 34 but not by 14
(4) both 14 and 34
$25 ^ { 190 } - 19 ^ { 190 } - 8 ^ { 190 } + 2 ^ { 190 }$ is divisible by\\
(1) neither 14 nor 34\\
(2) 14 but not by 34\\
(3) 34 but not by 14\\
(4) both 14 and 34