If 'R' is the least value of 'a' such that the function f(x) = x² + ax + 1 is increasing on [1, 2] and 'S' is the greatest value of 'a' such that the function f(x) = x² + ax + 1 is decreasing on [1, 2], then
the value of |R $$-$$ S| is ___________.

The mean of 10 numbers 7 $$\times$$ 8, 10 $$\times$$ 10, 13 $$\times$$ 12, 16 $$\times$$ 14, ....... is ____________.

If the variable line 3x + 4y = $$\alpha$$ lies between the two
circles (x $$-$$ 1)² + (y $$-$$ 1)² = 1
and (x $$-$$ 9)² + (y $$-$$ 1)² = 4, without intercepting a chord on either circle, then the sum of all the integral values of $$\alpha$$ is ___________.

The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ___________.