If $x^{2} + \left(\frac{1}{x^{2}}\right) $= 1, then what is the value of $x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$?
1). -9
2). 0
3). 1
4). 9
If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of$ (a^{2} + b^{2} +^c{2}) $?
1). 75
2). 83
3). 217
4). 225
If$ x^{\frac{1}{4}} + x^{-\frac{1}{4}}$ = 2, then what is the value of $x^{81} + \left(\frac{1}{x^{81}}\right)$?
1). -2
2). 0
3). 1
4). 2
If $\left(\frac{x^{2}}{yz}\right) + \left(\frac{y^{2}}{zx}\right) + \left(\frac{z^{2}}{xy}\right)$ = 3, then what is the value of$ \left(x + y + z\right)^{3}$?
1). 0
2). 1
3). 2
4). 3
The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?
1). $\frac{200}{7}$
2). $\frac{100}{7}$
3). $\frac{300}{7}$
4). $\frac{400}{7}$