If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b} \) and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\) = ?
\(\frac{{2ab}}{{{a^2} - {b^2}}}\)
\(\frac{{{a^2} - {b^2}}}{{2ab}}\)
\(\frac{{{a^2} + {b^2}}}{{2ab}}\)
\(\frac{{{a^2} - {b^2}}}{{ab}}\)
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Evaluate : \({{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}\)
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2
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The value of \(\frac{{25 - 5\left[ {2 + 3\left\{ {2 - 2\left( {5 - 3} \right) + 5} \right\} - 10} \right]}}{4} = ?\)
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3
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Simplify : \({ \text{10}}\frac{1}{8}{ \text{ of }}\frac{{12}}{{15}} \div \frac{{35}}{{36}}{ \text{ of }}\frac{{20}}{{49}}\)
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4
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Simplify : \({{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}\)
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5
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1 - [5 - {2 + (- 5 + 6 - 2) 2}] is equal to:
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6
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\(\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?\)
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7
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Find the value of \(\sqrt {4 + \sqrt {44 + \sqrt {10000} } } \)
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8
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A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
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9
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Simplify : \(1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}\)
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10
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Simplify : \(\frac{{\frac{5}{3} \times \frac{7}{{51}}{ \text{ of }}\frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7}{ \text{ of }}\frac{{28}}{5} - \frac{2}{3}}}{\kern 1pt} {\kern 1pt} = ?\)
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