book Maths Puzzle Numerical Ability

Find all 2 x 2 matrices whose nullspace is the line 3x-5y=0

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Three people decided to do some weight lifting with papers. Paper Stack 001 weighed 1 hg, Stack 2 weighed .01 kg, and Stack 3 weighed 100g. They exercised 1/2 hour.

The fitness How many ounces each of a 12% alcohol solution and a 30% alcohol solution must be combined to obtain 60 ounces of an 18% solution?