A number when divided by 136 leaves remainder 36. If the same number is divided by 17, the remainder will be · ABC26GN0340
Subject: General Aptitude · Chapter: Number System · Exam: S.S.C. 2010
A number when divided by 136 leaves remainder 36. If the same number is divided by 17, the remainder will be
(a)2
(b)3
(c)7
(d)9
Answer
Answer (as printed): A
Explanation
Let the number be $x$. Let $x$ when divided by 136 give $q$ as quotient and 36 as remainder. Then, $x=136 q+36=$ $(17 \times 8 q)+(17 \times 2)+2=17 \times(8 q+2)+2$. So, the given number when divided by 17 gives 2 as remainder.
Explanation as extracted from the printed page; notation may be imperfect.