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

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]

    \(3\sqrt 5 \)

Solution
2
Discuss

\(1728 \div \root 3 \of {262144} \times ? - 288\)      = 4491

 

  • 1] 148
  • 2] 156
  • 3] 173
  • 4] 177
Solution
3
Discuss

The value of \({ \text{ }} \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \)        is ?

 

  • 1] 0.125
  • 2] 0.25
  • 3] 0.5
  • 4] 0.75
Solution
4
Discuss

The least perfect square, which is divisible by each of 21, 36 and 66 is:

 

  • 1] 213444
  • 2] 214344
  • 3] 214434
  • 4] 231444
Solution
5
Discuss

\(\sqrt {\frac{{25}}{{81}} - \frac{1}{9}} = ?\)

 

  • 1]

    2/3

  • 2]

    4/9

  • 3]

    16/81

  • 4]

    25/81

Solution
6
Discuss

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
Solution
7
Discuss

If \(x = 3 + \sqrt 8 ,   \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?

 

  • 1] 30
  • 2] 34
  • 3] 36
  • 4] 38
Solution
8
Discuss

The number of digits in the square root of 625685746009 is = ?

  • 1] 4
  • 2] 5
  • 3] 6
  • 4] 7
Solution
9
Discuss

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

  • 1]

    35

  • 2]

    48

  • 3]

    50

  • 4]

    62

Solution
10
Discuss

\(\left( {\frac{{\sqrt {625} }}{{11}} \times \frac{{14}}{{\sqrt {25} }} \times \frac{{11}}{{\sqrt {196} }}} \right){\kern 1pt} \)     is equal to :

 

  • 1] 5
  • 2] 6
  • 3] 8
  • 4] 11
Solution
# Quiz