When positive integer n is divided by 3, the remainder is 2; and when positive integer t is divided by 5, the remainder is 3. What is the remainder when the product nt is divided by 15?
1). n-2 is divisible by 5
2). t is divisible by 3
1) If n-2 is divisible by 5, then n is not divisible 5, means n is not divisible by 5 or 3 or 15. We know from stem that t is not divisible by 5, therefore nt
not divisible by 15 but taking remainder of t/5 as 3 nt/15 gets different remainders. NOT SUFF
2) NOT SUFF
1 & 2 = we know that when n is divided by 15 the remainder is 2 (from 1). so n could be 32. t is divisible by 3 but not by 5, so t could be 48 or 63. so nt/15 will always have remainder 2.
C