exam Maths Puzzle Numerical Ability

Our problem is how to solve the following optimization problem:
Maximize x'Dx (with regard to x) subject to x'x=1, where D is a known symmetrical (n x n)-matrix and x is unknown (

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exam Other Question

The cylinder diameter is 19 depth 1.6 at the rate of 14m3 per hr.
How many hrs. will it take to empty the pool? Thanks
Find the length of the major and minor axes of an ellipse with the equation 16x2 + 25y2 + 32x - 150y = 159.

a)5 and 4 units
b)25 and 16 units
c)10 and 8 units
d)50 and 32 uni