Quiz Discussion

The value of ${ \text{3}}\frac{1}{2} - \left[ {2\frac{1}{4} \div \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]$       = ?

• 1]

  1/2

• 2]

  $2\frac{1}{2}$

• 3]

  $3\frac{1}{2}$

• 4]

  $9\frac{1}{2}$

$\left( {x + \frac{1}{x}} \right)\left( {x - \frac{1}{x}} \right)\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$   is equal to ?

• 1]

  ${x^6} - \frac{1}{{{x^6}}}$

• 2]

  ${x^8} - \frac{1}{{{x^8}}}$

• 3]

  ${x^6} + \frac{1}{{{x^6}}}$

• 4]

  ${x^8} + \frac{1}{{{x^8}}}$

Find the value of $\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?$

• 1]

  -16

• 2]

  $\pm 16$

• 3]

  16

• 4]

  16.2

The simplest value of $\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)$          is = ?

• 1]

  $3 - \sqrt 5$

• 2]

  3

• 3]

  $\sqrt 5$

• 4]

  $\sqrt 5 - 3$

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

• 1] 10
• 2] 35
• 3] 62.5
• 4] Cannot be determined
• 5] None of these