when positive integer n is divided by 3 the reminder is 2; and when positive integer t is divided by 5 the reminder is 3. What is the reminder when the product nt divided by 15?
a) n-2 is divisible by 5
b) t is divisible by 3
can someone explain the shortest method to get the answer???
i tried substituting values for n & t
stmt1 : n=> 17, 32, 47... and t=> 8, 13, 18....
stmt2 : t=> 18, 33, 48... and n=>5, 8, 11.....
and finally from both the stmts I got the values for n=>17, 32, 47.....
and t=>18, 33, 48....
....
....
from the above 2 list, can we find out the reminder when the product nt divided by 15??
the answer is given as C