exam Maths Puzzle Numerical Ability

If 6 men can do a piece of work in 4 days, how many men are needed to do the work in 21 days?

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exam Other Question

This one stumps me and the book if NO help, no examples

given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine value of a????

I had no idea where to start. decide whether lines p1 and p2 are perpendicular:

line p1:x+8y=-4
line p2:4x-2y=10