Subject: General Aptitude · Chapter: Number System · Exam: 2008 · Marks: · Difficulty:
A certain number when divided by 899 gives a remainder 63. What is the remainder when the same number is divided by 29?
(a)5
(b)25
(c)27
(d)None of these
Answer
Answer (as printed): A
Explanation
Let the number be $x$ and the quotient be $q$. Then, $x=899 q+63=(29 \times 31 q)+(29 \times 2)+5=29$ $(31 q+2)+5$. So, the given number when divided by 29 gives 5 as remainder.
Explanation as extracted from the printed page; notation may be imperfect.