(The smallest common multiple of 36, 54 and 60) /90 is equal to
(a) 10
(b) 12
(c) 5
(d) 6
Answer: (d) 6
Solution:-
The factors of 36 = 2 x 2 x 3 x 3
The factors of 54 = 2 x 3 x 3 x 3
The factors of 60 = 2 x 2 x 3 x 5
Then, the smallest common multiple of 36, 54 and 60 = 2 x 2 x 3 x 3 x 3 x 5
= 540
(the smallest common multiple of 36, 54 and 60)/90 = 540/90
= 6
Hence, the correct answer is option (d) 6.