If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b} ...

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 $\frac{{x - y}}{{1 + xy}}$ = ?

Course Name: Quantitative Aptitude

1]
$\frac{{2ab}}{{{a^2} - {b^2}}}$
2]
$\frac{{{a^2} - {b^2}}}{{2ab}}$
3]
$\frac{{{a^2} + {b^2}}}{{2ab}}$
4]
$\frac{{{a^2} - {b^2}}}{{ab}}$

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1 Discuss	Simplify : ${ \text{8}}\frac{1}{2} - \left[ {3\frac{1}{4} + \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]$ 1] $4\frac{1}{2}$ 2] $4\frac{1}{6}$ 3] $9\frac{1}{2}$ 4] $\frac{2}{9}$ Solution
10 Discuss	If $\frac{a}{b}{ \text{ + }}\frac{b}{a}{ \text{ = 2,}}$ then the value of (a - b) is = ? 1] 1 2] 2 3] -1 4] 0 Solution
2 Discuss	${ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?$ 1] 2/5 2] 5/2 3] 3/5 4] 1/2 Solution
3 Discuss	Number of digits in the square root of 62478078 is = ? 1] 4 2] 5 3] 6 4] 3 Solution
4 Discuss	$\frac{3}{2} \times \frac{{11}}{5} \div \left( {\frac{{25}}{{44}} \times \frac{{11}}{5}} \right) \div \frac{{33}}{{15}} = ?$ 1] 1/2 2] 2/3 3] 126/125 4] $5\frac{{101}}{{125}}$ 5] None of these Solution
5 Discuss	The value of $\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{ \text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} +\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}$ is = ? 1] -1 2] 0 3] 1 4] None of these Solution
6 Discuss	What is $\frac{{\frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3}}}{{\frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}}}$ equal to ? 1] 41/24 2] 1/24 3] 41 4] None of these Solution
7 Discuss	$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$ is equal to = ? 1] 24 2] 32 3] 44 4] 100 Solution
8 Discuss	A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is: 1] Rs. 120 2] Rs. 160 3] Rs. 240 4] Rs. 300 5] None of these Solution
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