Quiz Discussion

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

The square root of 64009 is:

• 1] 253
• 2] 347
• 3] 363
• 4] 803

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

• 1]

  \(0.\overline 6 \)

• 2]

  \(0.\overline 7 \)

• 3]

  \(0.\overline 8 \)

• 4]

  \(0.\overline 9 \)

If \(3a = 4b = 6c   \)  and \(a + b + c = 27\sqrt {29} { \text{,}}   \) then\( \sqrt {{a^2} + {b^2} + {c^2}} \)is ?

• 1]

  \(3\sqrt {29} \)

• 2]

  81

• 3]

  87

• 4]

  None of these

 =

• 1]

  232

• 2]

  123

• 3]

  432

• 4]

  543

If √x+x/y  = x√x/y  where x and y are positive real numbers, then y is equal to ?

• 1]

  x + 1

• 2]

  x - 1

• 3]

  x² + 1

• 4]

  x² - 1

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 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

By what least number 4320 be multiplied to obtain a number which is a perfect cube?

• 1]

  35

• 2]

  48

• 3]

  50

• 4]

  62

The least number of 4 digits which is a perfect square is = ?

• 1] 1000
• 2] 1016
• 3] 1024
• 4] 1036