Quiz Discussion

If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

 

Course Name: Quantitative Aptitude

  • 1] 10
  • 2] 98
  • 3] 99
  • 4] 100
Solution
No Solution Present Yet

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# Quiz
1
Discuss

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

  • 1] 3R
  • 2] 4R
  • 3] 7R
  • 4] 9R
Solution
2
Discuss

Find the square root of 3 upto three decimal places

  • 1]

    1.732

  • 2]

    2.732

  • 3]

    1.222

  • 4]

    1.414

Solution
3
Discuss

In the equation \(\frac{{4050}}{{\sqrt x }} = 450{ \text{}}\)   the value of x is = ?

 

  • 1] 9
  • 2] 49
  • 3] 81
  • 4] 100
Solution
4
Discuss

The square root of 64009 is:

  • 1] 253
  • 2] 347
  • 3] 363
  • 4] 803
Solution
5
Discuss

\(\sqrt {0.0169 \times ?} = 1.3\)

 

  • 1] 10
  • 2] 100
  • 3] 1000
  • 4] None of these
Solution
6
Discuss

The square root of (2722−1282) is

  • 1]

    144

  • 2]

    200

  • 3]

    240

  • 4]

    256

Solution
7
Discuss

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

  • 1] 2
  • 2] 3
  • 3] 6
  • 4] 24
Solution
8
Discuss

The square root of \({ \text{0}}{ \text{.}}\overline { \text{4}} \)  is ?

 

  • 1]

    \(0.\overline 6 \)

  • 2]

    \(0.\overline 7 \)

  • 3]

    \(0.\overline 8 \)

  • 4]

    \(0.\overline 9 \)

Solution
9
Discuss

If \(\sqrt 2 = 1.414{ \text{,}}   \) the square root of \(\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}\)  is nearest to = ?

 

  • 1] 0.172
  • 2] 0.414
  • 3] 0.586
  • 4] 1.414
Solution
10
Discuss

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

 

  • 1]

    \(16 - \sqrt 3 \)

  • 2]

    \(4 - \sqrt 3 \)

  • 3]

    \(2 - \sqrt 3 \)

  • 4]

    \(2 + \sqrt 3 \)

Solution
# Quiz