If $\left(\frac{x}{y}\right) + \left(\frac{y}{x}\right)$ = 1, then what is the value of $x^{3} + y^{3}$?
1). -1
2). 0
3). 1
4). 3
1. If 5 - 2x ≥ 4 - x and 3(2 - x) > 2 - 4x; then x can take which of the following values?
2. If y= $\frac{2-x}{1+x}$, then what is the value $\frac{1}{y+1}+\frac{2y+1}{y^{2}-1}$ ?
3. The unit digit of (413)243 is
4. Evaluate using identities: (10a + 5b)(100a – 50b)
8. If x+$\frac{1}{x}$ =5, then the value of $\frac{5x}{x^{2}+5x+1}$ is
9. If $p^{3}-q^{3}$ = (p - q) ( $(p-q)^{2}$ + x p q ) then value of x is