Quiz Discussion

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

\(\frac{{ \root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125} \)     is equal to = ?

• 1]

  7

• 2]

  \(1\frac{3}{4}\)

• 3]

  \(\frac{7}{{1000}}\)

• 4]

  \(\frac{4}{7}\)

Solve : 128.43 + 30.21 + ? = 173

• 1] 35.66
• 2] 29.66
• 3] 43.66
• 4] 24.66
• 5] 14.36

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 \(\frac{{x - y}}{{1 + xy}}\)   = ?

• 1]

  \(\frac{{2ab}}{{{a^2} - {b^2}}}\)

• 2]

  \(\frac{{{a^2} - {b^2}}}{{2ab}}\)

• 3]

  \(\frac{{{a^2} + {b^2}}}{{2ab}}\)

• 4]

  \(\frac{{{a^2} - {b^2}}}{{ab}}\)

The value of \(\frac{{\sqrt {80} - \sqrt {112} }}{{\sqrt {45} - \sqrt {63} }} = ?\)

• 1]

  3/4

• 2]

  \(1\frac{3}{4}\)

• 3]

  \(1\frac{1}{3}\)

• 4]

  \(1\frac{7}{9}\)

Simplify : \(\frac{{ - \frac{1}{2} - \frac{2}{3} + \frac{4}{5} - \frac{1}{3} + \frac{1}{5} + \frac{3}{4}}}{{\frac{1}{2} + \frac{2}{3} - \frac{4}{3} + \frac{1}{3} - \frac{1}{5} - \frac{4}{5}}}\)

• 1]

  -3/10

• 2]

  -10/3

• 3]

  -2

• 4]

  1

If a*b= ab/a+b, find the value of 3*(3*-1)

• 1]

  -1

• 2]

  1

• 3]

  3

• 4]

  -3

( √5 – 2)^2 = x – √80

• 1]

  9

• 2]

  7

• 3]

  6

• 4]

  10

Simplify : \(1 + {1 \over {1 + {2 \over {2 + {3 \over {1 + {4 \over 5}}}}}}}\)

• 1]

  \(1\frac{{11}}{{17}}\)

• 2]

  \(1\frac{{5}}{{7}}\)

• 3]

  \(1\frac{{6}}{{17}}\)

• 4]

  \(1\frac{{21}}{{17}}\)

Simplify : \(1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}\)

• 1]

  7/4

• 2]

  4/7

• 3]

  7/5

• 4]

  3/7