Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: 2004 · Marks: · Difficulty:
A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12, then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants?
(a)485
(b)725
(c)845
(d)None of these
Answer
Answer (as printed): C
Explanation
L.C.M. of 6, 8, 10, $12=120$. ∴ Required number is of the form $120 k+5$. Least value of $k$ for which $(120 k+5)$ is divisible by 13 is $k=7$. ∴ Required number $=(120 \times 7+5)=845$.
Explanation as extracted from the printed page; notation may be imperfect.