When positive numbers a, b and c are divided by 13, the remainders are 9, 7 and 10, respectively. What will be the remainder when (a + 2b + 5c) is divided by 13?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8
It is given that,
a/13 = Rem is 9.
b/13 = Rem is 7
c/13 = Rem is 10
here we have infinite values of a, b and c.
Let a = 9, b = 7 and c = 10( no condition violates)
(a + 2b + 5c) = 9 + 14 + 50 = 73
73/13 = Rem is 8.