1.
If x = a (b - c), y = b (c - a), z = c (a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$ $$ + {\left( {\frac{y}{b}} \right)^3}$$ $$ + {\left( {\frac{z}{c}} \right)^3}$$ is :

2.
The largest number that exactly divides each number of the sequence 15 - 1, 25 - 2, 35 - 3, ....., n5 - n, ..... is :

3.
$$\frac{{{{\left( {963 + 476} \right)}^2} + {{\left( {963 - 476} \right)}^2}}}{{\left( {963 \times 963 + 476 \times 476} \right)}} = ?$$

4.
Which one of the following numbers is divisible by 3 ?

5.
(96 + 1) when divided by 8, would leave a remainder of :