Question 111. $$\frac{6}{{5 - \frac{5}{3}}} \div \frac{{4 - \frac{2}{{4 - \frac{1}{2}}}}}{{5 - \frac{3}{2}}} - \frac{2}{5}\,$$     $$\text{of}$$ $$\left\{ {\frac{6}{9} + \frac{2}{3}{\text{ of }}\frac{1}{2}} \right\}$$   $$ = ?$$

Question 112. $$\eqalign{
& {\text{Simplify if,}} \cr
& {\text{I = }}\frac{3}{5} \div \frac{5}{6}{\text{,}} \cr
& {\text{II = 3}} \div \left[ {\left( {4 \div 5} \right) \div 6} \right]{\text{,}} \cr
& {\text{III = }}\left[ {3 \div \left( {4 \div 5} \right)} \right] \div 6\,, \cr
& {\text{IV = 3}} \div {\text{4}}\left( {5 \div 6} \right) \cr
& {\text{then }} \cr} $$

Question 113. If a + 2b = 6 and ab = 4, then what is $$\frac{2}{a} + \frac{1}{b} = ?$$

Question 114. Simplify : -7m -[3n -{8m -(4n - 10m)}]

Question 115. Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$

Question 116. Simplify : $$\frac{{1 + \frac{1}{2}}}{{1 - \frac{1}{2}}} \div \frac{4}{7}\left( {\frac{2}{5} + \frac{3}{{10}}} \right)$$     $${\text{of}}$$ $$\frac{{\frac{1}{2} + \frac{1}{3}}}{{\frac{1}{2} - \frac{1}{3}}}$$

Question 117. The value of $$2{a^3} - \left[ {3{a^3} + 4{b^3} - \left\{ {2{a^3} + \left( { - 7{a^3}} \right)} \right\}{\text{ + 5}}{a^3} - {\text{7}}{{\text{b}}^3}{\text{ }}} \right]{\text{ is - }}$$

Question 118. The value of $$\left[ {1 + \frac{1}{{x + 1}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 2}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 3}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 4}}} \right]$$   $${\text{is}} = ?$$

Question 119. Simplify if $$\frac{a}{b} = \frac{4}{5}$$   and $$\frac{b}{c} = \frac{{15}}{{16}},$$   then $$\frac{{{c^2} - {a^2}}}{{{c^2} + {a^2}}}$$   is = ?

Question 120. The simplification of $$\frac{1}{8} + $$ $$\frac{1}{{{8^2}}} + $$ $$\frac{1}{{{8^3}}} + $$ $$\frac{1}{{{8^4}}} + $$ $$\frac{1}{{{8^5}}}$$ upto three place of decimals yields = ?