exam Maths Puzzle Numerical Ability

If 5 apples in a barrel of 25 apples are rotten, what is the expected number of rotten apples in a random sample of 2 apples?

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exam Other Question

For the general cubic polynomial f(x)= ax^3 + bx^2 + cx + d (a different from 0).
Find conditions on a, b, c, and d to ensure that f is always increasing or always decreasing on (-00, +00).
solve these equation
1.2
2.4