Quiz Discussion

How many perfect squares lie between 120 and 300 ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

\({\left[ {{{\left( {\sqrt {81} } \right)}^2}} \right]^2} = {\left( ? \right)^2}\)

• 1] 8
• 2] 9
• 3] 4096
• 4] 6561
• 5] None of these

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

The digit in the units place in the square root of 15876 is 

• 1]

  8

• 2]

  6

• 3]

  4

• 4]

  2

The value of \({ \text{ }} \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \)        is ?

• 1] 0.125
• 2] 0.25
• 3] 0.5
• 4] 0.75

The square root of \(\left( {7 + 3\sqrt 5 } \right)  \left( {7 - 3\sqrt 5 } \right)\)   is

• 1]

  \(\sqrt 5 \)

• 2]

  2

• 3]

  4

• 4]

  \(3\sqrt 5 \)

What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\)      equal to ?

• 1]

  5

• 2]

  \(5\sqrt 2 \)

• 3]

  \(5\sqrt 5 \)

• 4]

  \(\sqrt 5 \)

What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?

• 1] 1%
• 2] 5%
• 3] 10%
• 4] 11%
• 5] 20%

Given \(\sqrt 2 = 1.414.\)   Then the value of \(\sqrt 8\)  + \(2\sqrt {32} \)  -  \(3\sqrt {128}\)  + \(4\sqrt {50}\)   is = ?

• 1] 8.426
• 2] 8.484
• 3] 8.526
• 4] 8.876

The value of \(\sqrt {\frac{{0.16}}{{0.4}}} \)   is = ?

• 1] 0.02
• 2] 0.2
• 3] 0.63
• 4] None of these