Quiz Discussion

By what least number must 21600 be multiplied so as to make it perfect cube ?

• 1] 6
• 2] 10
• 3] 20
• 4] 30

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

Which smallest number must be added to 710 so that the sum is a perfect cube ?

• 1] 11
• 2] 19
• 3] 21
• 4] 29

If = the value of x is = ?

• 1] 52
• 2] 58
• 3] 62
• 4] 68

If \(\sqrt y = 4x{ \text{}}   \) then \(\frac{{{x^2}}}{y}\) is = ?

• 1]

  2

• 2]

  1/16

• 3]

  1/4

• 4]

  4

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

Evaluate -

• 1]

  3

• 2]

  5

• 3]

  6

• 4]

  6.4

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

• 1] 148
• 2] 156
• 3] 173
• 4] 177

The square root of \(\left( {7 + 3\sqrt 5 } \right)  \left( {7 - 3\sqrt 5 } \right)\)   is

• 1]

  \(\sqrt 5 \)

• 2]

  2

• 3]

  4

• 4]

  \(3\sqrt 5 \)

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