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

Given that \(\sqrt 3 = 1.732{ \text{,}}   \)  the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}\)    is ?

 

  • 1] 1.414
  • 2] 1.732
  • 3] 2.551
  • 4] 4.899
Solution
2
Discuss

\(\sqrt {0.2} = ?\)

 

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

Which smallest number must be added to 710 so that the sum is a perfect cube ?

  • 1] 11
  • 2] 19
  • 3] 21
  • 4] 29
Solution
4
Discuss

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?

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

\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} -   \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} +   \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} -   \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} +   \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\)   is equal to ?

 

  • 1]

    0

  • 2]

    1/3

  • 3]

    1

  • 4]

    5

Solution
6
Discuss

The square root of 535.9225 is = ?

  • 1] 23.15
  • 2] 23.45
  • 3] 24.15
  • 4] 28.25
Solution
7
Discuss

\({\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}\) simplifies to:

  • 1]

    3/4

  • 2]

    \(\frac{4}{{\sqrt 3 }}\)

  • 3]

    4/3

  • 4]

    None of these

Solution
8
Discuss

Given \(\sqrt 5 = 2.2361,   \sqrt 3 = 1.7321{ \text{,}}   then \frac{1}{{\sqrt 5 - \sqrt 3 }}\)   is equal to ?

 

  • 1] 1.98
  • 2] 1.984
  • 3] 1.9841
  • 4] 2
Solution
9
Discuss

The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?

  • 1] 100
  • 2] 105
  • 3] 115
  • 4] 125
Solution
10
Discuss

Which of the following is closest to \(\sqrt 3 = ?\)

 

  • 1]

    1.69

  • 2]

    173/100

  • 3]

    1.75

  • 4]

    9/5

Solution
# Quiz