Quiz Discussion

Find the value of \(\sqrt {4 + \sqrt {44 + \sqrt {10000} } } \)

• 1] 12
• 2] 8
• 3] 4
• 4] -4

If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}   \) then the value of \({x^3} - \frac{1}{{{x^3}}}\)  is?

• 1]

  \(10\sqrt 2 \)

• 2]

  \(14\sqrt 2\)

• 3]

  \(22\sqrt 2\)

• 4]

  \(8\sqrt 2\)

The simplified value of \(\frac{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) - \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}}{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) + \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}} = ?\)

• 1]

  100

• 2]

  200/101

• 3]

  200

• 4]

  202/100

\(\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - 0.73 \times 0.27}}\)      = ?

• 1] 0.27
• 2] 0.4087
• 3] 0.73
• 4] 1

A millionaire bought a lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the including 4/5 of the brown hats. What fraction of the unsold hats were brown ?

• 1]

  1/60

• 2]

  1/15

• 3]

  3/20

• 4]

  3/5

• 5]

  3/4

Simplify : \(\root 3 \of { - 2197} \,\times \)  \(\root 3 \of { - 125} \,\,\div \)   \(\root 3 \of {\frac{{27}}{{512}}} \)  = ?

• 1]

  \(\frac{{492}}{7}\)

• 2]

  \(\frac{{520}}{3}\)

• 3]

  \(\frac{{554}}{7}\)

• 4]

  \(\frac{{571}}{5}\)

A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are ?

• 1] 37
• 2] 33
• 3] 63
• 4] 47

\(\frac{3}{2} \times \frac{{11}}{5} \div \left( {\frac{{25}}{{44}} \times \frac{{11}}{5}} \right) \div \frac{{33}}{{15}} = ?\)

• 1]

  1/2

• 2]

  2/3

• 3]

  126/125

• 4]

  \(5\frac{{101}}{{125}}\)

• 5]

  None of these

(9.0 / 2 * 27 / 9 ) / (18/7.5 * 5.0 / 4) = ?

• 1]

  5.5

• 2]

  4.0

• 3]

  4.5

• 4]

  3.0

\(\left\{ {\left( {64 - 38} \right) \times 4} \right\} \div 13 = ?\)

• 1] 4
• 2] 1
• 3] 8
• 4] 2
• 5] 5