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

What should come in place of both x in the equation \(\frac{x}{{\sqrt {128} }} = \frac{{\sqrt {162} }}{x}\)

• 1] 12
• 2] 14
• 3] 144
• 4] 196

The number of perfect square numbers between 50 and 1000 is = ?

• 1] 21
• 2] 22
• 3] 23
• 4] 24

If \(\sqrt 5 = 2.236{ \text{,}}\)   then the value of \(\frac{1}{{\sqrt 5 }} \) is = ?

• 1] 0.367
• 2] 0.447
• 3] 0.745
• 4] None of these

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

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

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

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

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

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

The square root of 123454321 is = ?

• 1] 111111
• 2] 12341
• 3] 11111
• 4] 11211