Q.1
$$4\frac{4}{5} \div 6\frac{2}{5} = ?$$
Q.2
Simplify : $$\frac{{\frac{1}{3} + \frac{1}{4}\left[ {\frac{2}{5} - \frac{1}{2}} \right]}}{{1\frac{2}{3}\,{\text{of }}\frac{3}{4} - \frac{3}{4}\,{\text{of }}\frac{4}{5}}} = ?$$
Q.3
$$\frac{{0.3555 \times 0.5555 \times 2.025}}{{0.225 \times 1.7775 \times 0.2222}}$$     is equal to = ?
Q.4
$$\frac{1}{{10}}$$ of a pole is coloured red, $$\frac{1}{{20}}$$ white, $$\frac{1}{{30}}$$ blue, $$\frac{1}{{40}}$$ black, $$\frac{1}{{50}}$$ violet, $$\frac{1}{{60}}$$ yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, then the length of the pole is = ?
Q.5
A drum of kerosene is $$\frac{3}{4}$$ full. When 30 liters of kerosene is drawn from it, it remains $$\frac{7}{{12}}$$ full. The capacity of the drums is = ?
Q.6
A tree grows only $$\frac{3}{5}$$ as fast as the one beside it. In four years the combined growth of the trees is eight feet. How much does the shorter tree grow in 2 years?
Q.7
$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$     is equal to = ?
Q.8
If $$\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{\text{ = 4,}}$$     then x = ?
Q.9
$$\eqalign{ & {\text{If}} \cr & {\text{I = }}\frac{3}{4} \div \frac{5}{6}{\text{,}} \cr & {\text{II = 3}} \div \left[ {\left( {4 \div 5} \right) \div 6} \right]{\text{,}} \cr & {\text{III = }}\left[ {{\text{3}} \div \left( {4 \div 5} \right)} \right] \div {\text{6,}} \cr & {\text{IV = 3}} \div {\text{4}} \div \left( {5 \div 6} \right), \cr & {\text{Then - }} \cr} $$
Q.10
The least number that must be subtracted from 63522 to make the result a perfect square is = ?
Q.11
$$\sqrt {0.00060516} $$     is equal to = ?
Q.12
Supply the two missing figures in order indicated by x and y in the given equation, the fractions being in their lowest terms. $${\text{5}}\frac{1}{x} \times y\frac{3}{4} = 20$$
Q.13
Find the value of $$\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?$$
Q.14
The simplification of $$\frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}\, = ?$$
Q.15
Simplify : $$\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] \div \left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] = ?$$
Q.16
If the expression $${\text{2}}\frac{1}{2}{\text{ of }}\frac{3}{4} \times \frac{1}{2} \div \frac{3}{2} + \frac{1}{2} \div \frac{3}{2}\left[ {\frac{2}{3} - \frac{1}{2}{\text{ of }}\frac{2}{3}} \right]$$        is simplified, we get -
Q.17
If $$\sqrt {{\text{4096}}} $$  = 64, then the value of $$\sqrt {{\text{40}}{\text{.96}}} $$   $$ + $$ $$\sqrt {{\text{0}}{\text{.4096}}} $$   $$ + $$ $$\sqrt {{\text{0}}{\text{.004096}}} $$    $$ + $$ $$\sqrt {{\text{0}}{\text{.00004096}}} $$     up to two place of decimals is = ?
Q.18
The difference of $${\text{1}}\frac{3}{{16}}$$  and its reciprocal is equal to = ?
Q.19
Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4), The maximum value among the above three is?
Q.20
The sum of $$\sqrt {0.01} + \sqrt {0.81} + \sqrt {1.21} + \sqrt {0.0009} = ?$$
Q.21
The square root of $$\frac{{0.342 \times 0.684}}{{0.000342 \times 0.000171}} = ?$$
Q.22
The value of $$\frac{5}{{1\frac{7}{8}{\text{of 1}}\frac{1}{3}}} \times \frac{{2\frac{1}{{10}}}}{{3\frac{1}{2}}}{\text{ of 1}}\frac{1}{4} = ?$$
Q.23
$$\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?$$
Q.24
Simplify : $$\frac{{ - \frac{1}{2} - \frac{2}{3} + \frac{4}{5} - \frac{1}{3} + \frac{1}{5} + \frac{3}{4}}}{{\frac{1}{2} + \frac{2}{3} - \frac{4}{3} + \frac{1}{3} - \frac{1}{5} - \frac{4}{5}}}$$
Q.25
$$\frac{3}{2} \times \frac{{11}}{5} \div \left( {\frac{{25}}{{44}} \times \frac{{11}}{5}} \right) \div \frac{{33}}{{15}} = ?$$
Q.26
The value of $$\frac{{\sqrt {80} - \sqrt {112} }}{{\sqrt {45} - \sqrt {63} }} = ?$$
Q.27
If the sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is = ?
Q.28
Find the value of * in the following. $${\text{1}}\frac{2}{3} \div \frac{2}{7} \times \frac{*}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}$$
Q.29
The value of $$\frac{{25 - 5\left[ {2 + 3\left\{ {2 - 2\left( {5 - 3} \right) + 5} \right\} - 10} \right]}}{4} = ?$$
Q.30
$$\frac{3}{7}\,{\text{of}}\,455 + \frac{5}{8}\,{\text{of}}\,456 = ?$$
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