Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, the remainder is 9. What is the number? \item[
(a)] 339 2
(b)349 3
(c)369 4
(d)Data inadequate \item[ 5
(e)] None of theseremainder 1. What will be the remainder when the number is divided by 6?
Answer
Answer (as printed): B
Explanation
Let x = 13p + 11 and x = 17q + 9. 2 + 13 p Then, 13p + 11 = 17q + 9 ⇒ 17q – 13p = 2 ⇒ q = 17 2 + 13 p The. least value of p for which q = is a whole 17 number, is p = 26. \ x = (13 × 26 + 11) = 338 + 11 = 349.
Explanation as extracted from the printed page; notation may be imperfect.