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]

  \(2 + \sqrt 3 \)

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 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

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 \(3a = 4b = 6c   \)  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

How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?

• 1] 1
• 2] 2
• 3] 3
• 4] None of these

The square root of 535.9225 is = ?

• 1] 23.15
• 2] 23.45
• 3] 24.15
• 4] 28.25

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

Square root of 64009 is

• 1]

  253

• 2]

  347

• 3]

  363

• 4]

  803

The value of \(\sqrt {\frac{{0.16}}{{0.4}}} \)   is = ?

• 1] 0.02
• 2] 0.2
• 3] 0.63
• 4] None of these