There are some boxes lying in a straight line. Every 6th box contains a muffin, every 8th contains a chocolate and every 9th contains a soft-toy. Which is the first box to have all 3 items?
48
36
72
None of these
Explanation:
Muffins will be contained in boxes- 6, 12, 18, 24, 36….
Chocolates will be contained in boxes- 8,16,24,32….
Soft-toys will be contained in boxes- 9,18,27,36….
The first box which contains all three items will have to be a multiple of 6, 8 and 9.
Being the first box to contain all three items, it will be the lowest multiple of all 3, which is the LCM.
LCM of 6, 8, 9 is 72.