exam Maths Puzzle Numerical Ability

there are 35 machine parts and 8 are defective. what is the probability that you randomly select 5 parts that one will be defective?

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exam Other Question

Find the sum of the series
1x2 + 2x2^2 + 3x2^3 +...+ 100x2^100
If theta is an acute angle with cos theta=2/sqr rt 5, find the exact value of cos2 theta.

My possible answers are:
-3/5
-2/5
2/5
3/5