Quiz Discussion

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 smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

• 1] 1000 and 2000
• 2] 2000 and 3000
• 3] 3000 and 4000
• 4] 4000 and 5000

Given that \(\sqrt 3 = 1.732{ \text{,}}   \)  the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}\)    is ?

• 1] 1.414
• 2] 1.732
• 3] 2.551
• 4] 4.899

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

While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?

• 1] 13
• 2] 38
• 3] 48
• 4] Cannot be determined
• 5] None of these

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

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

A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?

• 1] 1806
• 2] 1812
• 3] 1825
• 4] 1836

The approximate value of \(\frac{{3\sqrt {12} }}{{2\sqrt {28} }} \div \frac{{2\sqrt {21} }}{{\sqrt {98} }}\)  is ?

• 1] 1.0605
• 2] 1.0727
• 3] 1.6007
• 4] 1.6026

The square root of \({ \text{0}}{ \text{.}}\overline { \text{4}} \)  is ?

• 1]

  \(0.\overline 6 \)

• 2]

  \(0.\overline 7 \)

• 3]

  \(0.\overline 8 \)

• 4]

  \(0.\overline 9 \)

\(9{x^2} + 25 - 30x\)    can be expressed as the square of = ?

• 1]

  \(3{x^2} - 25\)

• 2]

  3x + 5

• 3]

   - 3x - 5

• 4]

  3x - 5