Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is
(a)1600
(b)3600
(c)6400
(d)14400
Answer
Answer (as printed): B
Explanation
The least number divisible by 16, 20, 24 $$=\text { L.C.M. of } 16,20,24=240=2 \times 2 \times 2 \times 2 \times 3 \times 5 \text {. }$$ To make it a perfect square, it must be multiplied by 3 × 5. $$\therefore \quad \text { Required number }=240 \times 3 \times 5=3600 .$$
Explanation as extracted from the printed page; notation may be imperfect.