A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be · ABC26GN0341
Subject: General Aptitude · Chapter: Number System · Exam: Hotel Management 2010
A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be
(a)1
(b)2
(c)3
(d)4
Answer
Answer (as printed): B
Explanation
Let the number be $x$ and the quotient be $q$. Then, $x=195 q+47=(15 \times 13 q)+(15 \times 3)+2=15(13 q$ $+3)+2$.So, the given number when divided by 15 gives 2 as remainder.
Explanation as extracted from the printed page; notation may be imperfect.