Quiz Discussion

If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}   \)  \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\)   is?

• 1] 10
• 2] 13
• 3] 14
• 4] 15

The value of \(\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}\)   is close to = ?

• 1] 0.6
• 2] 1.1
• 3] 1.6
• 4] 1.7

\( \root 3 \of {\sqrt {0.000064} } = ?\)

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

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

If \(\sqrt 2 = 1.414{ \text{,}}   \) the square root of \(\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}\)  is nearest to = ?

• 1] 0.172
• 2] 0.414
• 3] 0.586
• 4] 1.414

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

For what value of * the statement  = 1 is true?

• 1] 15
• 2] 25
• 3] 35
• 4] 45

\({\left( {15} \right)^2} + {\left( {18} \right)^2} - 20 = \sqrt ? \)

• 1] 22
• 2] 23
• 3] 529
• 4] 279841
• 5] None of these

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

The least perfect square, which is divisible by each of 21, 36 and 66 is:

• 1] 213444
• 2] 214344
• 3] 214434
• 4] 231444