Quiz Discussion

If \(x = 3 + \sqrt 8 ,   \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?

• 1] 30
• 2] 34
• 3] 36
• 4] 38

If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

• 1] 10
• 2] 98
• 3] 99
• 4] 100

The value of \(\sqrt {0.01} { \text{ + }} \sqrt {0.81} { \text{ + }} \sqrt {1.21} { \text{ + }} \sqrt {0.0009} \)  is = ?

• 1] 2.03
• 2] 2.1
• 3] 2.11
• 4] 2.13

If \({ \text{ }}2*3 = \sqrt {13} \)   and 3 * 4 = 5, then the value of 5 * 12 is ?

• 1]

  \(\sqrt {17} \)

• 2]

  \(\sqrt {29} \)

• 3]

  12

• 4]

  13

If \(\sqrt 6 = 2.449{ \text{,}}\)   then the value of \(\frac{{3\sqrt 2 }}{{2\sqrt 3 }}\)   is = ?

• 1] 0.6122
• 2] 0.8163
• 3] 1.223
• 4] 1.2245

The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?

• 1] 900
• 2] 1200
• 3] 2500
• 4] 3600

The square root of \(\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}} { \text{ + }}\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]\)    is = ?

• 1] 1
• 2] 2
• 3] 3
• 4] 4

If \(\sqrt {24} = 4.889,\)   the value of \(\sqrt {\frac{8}{3}} \)   is = ?

• 1] 0.544
• 2] 1.333
• 3] 1.633
• 4] 2.666

The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?

• 1] 100
• 2] 105
• 3] 115
• 4] 125

If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

• 1]

  3/4

• 2]

  4/3

• 3]

  3/5

• 4]

  5/3