Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
Three numbers are in the ratio of 3: 4: 5 and their L.C.M. is 2400. Their H.C.F. is
(a)40
(b)80
(c)120
(d)200
Answer
Answer (as printed): A
Explanation
Let the numbers be $3 x, 4 x$ and $5 x$. Then, their L.C.M. $=60 x$.So, $60 x=2400$ or $x=40$. $\therefore$ The numbers are $(3 \times 40),(4 \times 40)$ and $(5 \times 40)$. Hence, required H.C.F. $=40$.
Explanation as extracted from the printed page; notation may be imperfect.