Quiz Discussion

What is the least number to be added to 7700 to make it a perfect square ?

• 1] 77
• 2] 98
• 3] 131
• 4] 221
• 5] None of these

For what value of * the statement  = 1 is true?

• 1] 15
• 2] 25
• 3] 35
• 4] 45

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

If \(\sqrt 5 = 2.236, \)   then the value of \(\frac{{\sqrt 5 }}{2} - \frac{{10}}{{\sqrt 5 }} + \sqrt {125} \)   is equal to :

• 1] 5.59
• 2] 7.826
• 3] 8.944
• 4] 10.062

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]

  \(\sqrt 3 \)

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

What is the smallest number by which 3600 be divided to make it a perfect cube ?

• 1] 9
• 2] 50
• 3] 300
• 4] 450

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]

  \(3\sqrt 5 \)

If \({ \text{ }}2*3 = \sqrt {13} \)   and 3 * 4 = 5, then the value of 5 * 12 is ?

• 1]

  \(\sqrt {17} \)

• 2]

  \(\sqrt {29} \)

• 3]

  12

• 4]

  13

The square root of \(\left( {{{272}^2} - {{128}^2}} \right) \)  is = ?

• 1] 144
• 2] 200
• 3] 240
• 4] 256