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 = ?

 

Course Name: Quantitative Aptitude

  • 1]

    \(16 - \sqrt 3 \)

  • 2]

    \(4 - \sqrt 3 \)

  • 3]

    \(2 - \sqrt 3 \)

  • 4]

    \(2 + \sqrt 3 \)

Solution
No Solution Present Yet

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# Quiz
1
Discuss

The smallest number to be added to 680621 to make the sum a perfect square is = ?

  • 1] 4
  • 2] 5
  • 3] 6
  • 4] 8
Solution
2
Discuss

\(\sqrt {0.2} = ?\)

 

  • 1] 0.02
  • 2] 0.2
  • 3] 0.447
  • 4] 0.632
Solution
3
Discuss

 =

  • 1]

    232

  • 2]

    123

  • 3]

    432

  • 4]

    543

Solution
4
Discuss

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
Solution
5
Discuss

The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?

  • 1] 900
  • 2] 1200
  • 3] 2500
  • 4] 3600
Solution
6
Discuss

The approximate value of \(\frac{{3\sqrt {12} }}{{2\sqrt {28} }} \div \frac{{2\sqrt {21} }}{{\sqrt {98} }}\)  is ?

 

  • 1] 1.0605
  • 2] 1.0727
  • 3] 1.6007
  • 4] 1.6026
Solution
7
Discuss

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

Solution
8
Discuss

\(\sqrt {110.25} \times \sqrt {0.01} \div \)    \(\sqrt {0.0025}\)  - \(\sqrt {420.25}\)  equals ?

 

  • 1] 0.50
  • 2] 0.64
  • 3] 0.73
  • 4] 0.75
Solution
9
Discuss

Given \(\sqrt 2 = 1.414.\)   Then the value of \(\sqrt 8\)  + \(2\sqrt {32} \)  -  \(3\sqrt {128}\)  + \(4\sqrt {50}\)   is = ?

 

  • 1] 8.426
  • 2] 8.484
  • 3] 8.526
  • 4] 8.876
Solution
10
Discuss

Evaluate -

  • 1]

    3

  • 2]

    5

  • 3]

    6

  • 4]

    6.4

Solution
# Quiz