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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1
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If 547.527/0.0082 then the value of 547527/82 is = ?
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2
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Supply the two missing figures in order indicated by x and y in the given equation, the fractions being in their lowest terms.
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3
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If \(\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1\) and \(\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0\) where a, b, c, p, q, r are non-zero real numbers, then \(\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}\) is equal to = ?
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4
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\({ \text{If }}\left[ {4 - \frac{5}{{1 + \frac{1}{{3 + \frac{1}{{2 + \frac{1}{4}}}}}}}} \right]\) \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
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5
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One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
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6
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5907 – 1296 / 144 = x * 8.0
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7
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\(\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - 0.73 \times 0.27}}\) = ?
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8
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\(\frac{3}{7}{ \text{of }} 455 + \frac{5}{8}{ \text{of}}456 = ?\)
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9
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The square root of \(\frac{{0.342 \times 0.684}}{{0.000342 \times 0.000171}} = ?\)
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10
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The value of \({ \text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4} \left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)\) = ?
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