81.
Given that $$\sqrt {574.6} $$  = 23.97, $$\sqrt {5746} $$  = 75.8 then $$\sqrt {0.00005746} $$   = ?

82.
If $$a = \frac{x}{{x + y}}$$   and $$b = \frac{y}{{x - y}}{\text{,}}$$   then $$\frac{{ab}}{{a + b}}$$   is equal to = ?

83.
If $$\frac{a}{b} = \frac{1}{3}\,,$$ $$\,\,\frac{b}{c} = 2\,,$$ $$\,\,\frac{c}{d} = \frac{1}{2}\,,$$ $$\,\,\frac{d}{e} = 3$$   and $$\,\frac{e}{f} = \frac{1}{4}\,,$$   then what is the value of $$\frac{{abc}}{{def}} = ?$$

84.
If $$\frac{m}{n}{\text{ = }}\frac{4}{3}$$   and $$\frac{r}{t}{\text{ = }}\frac{9}{{14}}{\text{,}}$$   then the value of $$\frac{{3mr - nt}}{{4nt - 7mr}}{\text{ is}} = {\text{?}}$$

85.
$$\sqrt {{{\left( {0.798} \right)}^2} + 0.404 \times 0.798 + {{\left( {0.202} \right)}^2}} $$       $$ + 1$$ $$ = ?$$

86.
$$\frac{2}{{2 + \frac{2}{{3 + \frac{2}{{3 + \frac{2}{3}}}}} \times 0.39}}$$     is simplified to = ?

87.
The simplified value of $${\left[ {{{\left( {0.111} \right)}^3} + {{\left( {0.222} \right)}^3} - {{\left( {0.333} \right)}^3} + {{\left( {0.333} \right)}^2}\left( {0.222} \right)} \right]^3} = ?$$

88.
If $$a + \frac{1}{b} = 1$$   and $$b + \frac{1}{c} = 1{\text{,}}$$   then $$c + \frac{1}{a}$$   is equal to = ?

89.
If $$\frac{x}{{\left( {2x + y + z} \right)}}$$   = $$\frac{y}{{\left( {x + 2y + z} \right)}}$$   = $$\frac{z}{{\left( {x + y + 2z} \right)}}   = a{\text{,}}$$     then find a, If x + y + z ≠ 0

90.
If $$\frac{a}{{b + c}}{\text{ = }}\frac{b}{{c + a}}$$   = $$\frac{c}{{a + b}}{\text{ = k,}}$$    then find the value of k is

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