Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: 2007 · Marks: · Difficulty:
The number nearest to 43582 divisible by each of 25, 50 and 75 is
(a)43500
(b)43550
(c)43600
(d)43650
Answer
Answer (as printed): D
Explanation
L.C.M. of 25, 50 and $75=5 \times 5 \times 2 \times 3=150$. $$\begin{array}{c|c} 5 & 25-50-75 \\ \hline 5 & 5-10-15 \\ \hline & 1-2-3 \end{array}$$ On dividing 43582 by 150, the remainder is 82 and quotient is 290. So, required number $=150 \times 291=43650$.
Explanation as extracted from the printed page; notation may be imperfect.