Question

S={1,2,3,4,5,6,7,8,9}. How many distinct two-digit numbers can be formed using numbers from the set S such that when it is divided by 13, it gives a remainder of 1.
(Repetition is not allowed i.e. two-digit number should be formed using distinct numbers from the set)

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is C

5

Only 14, 27, 53, 79 and 92 are of the form of 13K + 1.