The value of \(\frac{{{x^2} - {{\left( {y

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 = ?

Course Name: Quantitative Aptitude

1] -1
2] 0
3] 1
4] None of these

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#	Quiz
1 Discuss	Simplification of $\frac{{{{\left( {3.4567} \right)}^2} - {{\left( {3.4533} \right)}^2}}}{{0.0034}} = ?$ 1] 6.91 2] 7 3] 6.81 4] 7.1 Solution
10 Discuss	The Value of ( $\sqrt {6} + \sqrt {10} - \sqrt {21} - \sqrt {35}) × (\sqrt {6} - \sqrt {10} + \sqrt {21} - \sqrt {35}$ ) = ? 1] 27 2] 18 3] 40 4] 10 Solution
2 Discuss	If x = a + m, y = b + m, z = c + m, then the value of $\frac{{{x^2} + {y^2} + {z^2} - yz - zx - xy}}{{{a^2} + {b^2} + {c^2} - ab - bc - ca}}$ is = ? 1] 1 2] $\frac{{x + y + z}}{{a + b + c}}$ 3] $\frac{{a + b + c}}{{x + y + z}}$ 4] Not possible to find Solution
3 Discuss	If $\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{ \text{ = 4}}$ then x = ? 1] 5/16 2] 6/19 3] 18/5 4] 24/11 Solution
4 Discuss	$\frac{{ \root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125}$ is equal to = ? 1] 7 2] $1\frac{3}{4}$ 3] $\frac{7}{{1000}}$ 4] $\frac{4}{7}$ Solution
5 Discuss	Simplify : ${{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}$ 1] 1/2 2] 4 3] 2 4] 1/4 Solution
6 Discuss	Simplify : $\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] \div \left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] = ?$ 1] 100/101 2] 90/101 3] 20/101 4] 101/100 Solution
7 Discuss	When $\left( {\frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}} \right)$ is divided by $\left( {\frac{2}{5} - \frac{5}{9} + \frac{3}{5} - \frac{7}{{18}}} \right)$ then the result is = ? 1] ${ \text{5}}\frac{1}{{10}}$ 2] ${ \text{2}}\frac{1}{{18}}$ 3] ${ \text{3}}\frac{1}{6}$ 4] ${ \text{3}}\frac{3}{{10}}$ Solution
8 Discuss	On simplification the value of ${ \text{1}} - \frac{1}{{1 + \sqrt 2 }}{ \text{ + }} \frac{1}{{1 - \sqrt 2 }}$ is = ? 1] $2\sqrt 2 - 1$ 2] $1 - 2\sqrt 2$ 3] $1 - \sqrt 2$ 4] $- 2\sqrt 2$ Solution
9 Discuss	$\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - 0.73 \times 0.27}}$ = ? 1] 0.27 2] 0.4087 3] 0.73 4] 1 Solution
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