Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:
The least perfect square number divisible by 3, 4, 5, 6 and 8 is
(a)900
(b)1200
(c)2500
(d)3600
Answer
Answer (as printed): D
Explanation
L.C.M. of 3, 4, 5, 6, 8 is 120. Now, 120 $$=2 \times 2 \times 2 \times 3 \times 5 \text {. }$$ To make it a perfect square, it must be multiplied by $2 \times 3 \times 5$. So, required number $=2^{2} \times 2^{2} \times 3^{2} \times 5^{2}=3600$.
Explanation as extracted from the printed page; notation may be imperfect.