M4maths Maths Puzzle Numerical Ability LCM and HCF

Four wheels moving 12, 24, 20 and 30 revolutions in a minute starting at a certain point on the circumference downwards. After what interval of time will they come together again in the same position ?

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M4maths Other Question

a work is done by 30 workers not all of them have the same capacity to work. Every day exactly 2 workers , do the work with no pair of workers working together twice. Even after all possible pairs of workers worked once, all the workers together works for six more days to finish the work. Find the number of days in which all the workers together will finish the work tan^-1(sec x+tan x)