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

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

If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\)     is:

• 1] 0.1039
• 2] 0.2078
• 3] 1.1039
• 4] 2.1039

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

Find the square root of 3 upto three decimal places

• 1]

  1.732

• 2]

  2.732

• 3]

  1.222

• 4]

  1.414

\(1728 \div \root 3 \of {262144} \times ? - 288\)      = 4491

• 1] 148
• 2] 156
• 3] 173
• 4] 177

Which number should replace both the question marks in the following equation ?/1776=111/?

• 1] 343
• 2] 414
• 3] 644
• 4] 543
• 5] None of these

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

\({1.5^2} \times \sqrt {0.0225} = ?\)

• 1] 0.0375
• 2] 0.3375
• 3] 3.275
• 4] 32.75

The square root of 41209 is equal to = ?

• 1] 103
• 2] 203
• 3] 303
• 4] 403