QA – Placement Quizzes | Number Divisibility | Question 1

If a positive integer leaves remainder 28 when divided by 143, then what is the remainder obtained on dividing the same number by 13?
(A) 0
(B) 2
(C) 9
(D) 10


Answer: (B)

Explanation: Let the positive integer be y. Then,
y = 143*x + 28 = 13*13*x + 28.
Clearly, y%13 = 0 + 28%13 = 2 (where % represents remainder).

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