ABC26GN0500 · H.C.F. and L.C.M. of Numbers

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:

The H.C.F. and L.C.M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1: 4, then the larger of the two numbers is

(a)12

(b)48

(c)84

(d)108

Answer

Answer (as printed): C

Explanation

Let the numbers be $x$ and $4 x$. Then, $x \times 4 x=84 \times 21 \Leftrightarrow x^{2}=\left(\frac{84 \times 21}{4}\right) \Leftrightarrow x=21$. Hence, larger number $=4 x=84$.

Explanation as extracted from the printed page; notation may be imperfect.

Open in whiteboard · Browse this chapter in the app