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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.
My approach to this question was:
1) N= 3k+2, so N can be 2, 5, 8, 11 and so on
2) when positive integer t is divided by 5 the remainder is 3= N=5Q+3, so t can be 3,8, 13, 18 and so on.
Stmnt 1 says n-2 is divisible by 5, that is for example 17-2 =15 and 32 -2 is 30 not sufficient
Stmnt 2 says t is divisible by 3 so it can be 18 or 33
Now if we combine the two Im getting multiple solutions so the answer should be E but the answer is C
Need clarity!
(1) n-2 is divisible by 5.
(2) t is divisible by 3.
My approach to this question was:
1) N= 3k+2, so N can be 2, 5, 8, 11 and so on
2) when positive integer t is divided by 5 the remainder is 3= N=5Q+3, so t can be 3,8, 13, 18 and so on.
Stmnt 1 says n-2 is divisible by 5, that is for example 17-2 =15 and 32 -2 is 30 not sufficient
Stmnt 2 says t is divisible by 3 so it can be 18 or 33
Now if we combine the two Im getting multiple solutions so the answer should be E but the answer is C
Need clarity!
