Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?
(a)16
(b)18
(c)28
(d)40
Answer
Answer (as printed): D
Explanation
The number is of the form $(13 k+1)$, where $k$ is of the form $(5 m+3)$. ∴ Number $=13 k+1=13(5 m+3)+1=65 m+40$. Clearly when the number is divided by 65, we get 40 as remainder.
Explanation as extracted from the printed page; notation may be imperfect.