Quiz Discussion

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

• 1]

  35

• 2]

  48

• 3]

  50

• 4]

  62

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

\(\sqrt {11881} \times \sqrt ? = 10137\)

• 1] 8281
• 2] 8649
• 3] 9216
• 4] 9409
• 5] None of these

1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?

• 1] 25
• 2] 45
• 3] 50
• 4] 100

Evaluate -

• 1]

  3

• 2]

  5

• 3]

  6

• 4]

  6.4

If y = 5,   then what is the value of \(10y\sqrt {{y^3} - {y^2}} \)   = ?

• 1]

  \(50\sqrt 2 \)

• 2]

  100

• 3]

  \(200\sqrt 5 \)

• 4]

  500

The least number by which 294 must be multiplied to make it a perfect square, is = ?

• 1] 2
• 2] 3
• 3] 6
• 4] 24

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

• 1] 6
• 2] 10
• 3] 20
• 4] 30

If \(a = \frac{{\sqrt 3 }}{2}{ \text{}}\)   then \(\sqrt {1 + a} + \sqrt {1 - a} = ?\)

• 1]

  \(\left( {2 - \sqrt 3 } \right)\)

• 2]

  \(\left( {2 + \sqrt 3 } \right)\)

• 3]

  \(\left( {\frac{{\sqrt 3 }}{2}} \right)\)

• 4]

  \(\sqrt 3 \)

What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?

• 1] 0.000002
• 2] 0.000004
• 3] 0.02
• 4] 0.04