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

\(\sqrt {176 + \sqrt {2401} } \)    is equal to = ?

 

  • 1] 14
  • 2] 15
  • 3] 18
  • 4] 24
Solution
2
Discuss

If \(\sqrt {33} = 5.745{ \text{}}\)   then which of the following values is approximately \(\sqrt {\frac{3}{{11}}} { \text{ ?}}\)

 

  • 1] 1
  • 2] 6.32
  • 3] 0.5223
  • 4] 2.035
Solution
3
Discuss

Which number should replace both the question marks in the following equation ?/1776=111/?

 

  • 1] 343
  • 2] 414
  • 3] 644
  • 4] 543
  • 5] None of these
Solution
4
Discuss

Determined the value of \(\frac{1}{{\sqrt 1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{\sqrt 2 + \sqrt 3 }} +   \frac{1}{{\sqrt 3 + \sqrt 4 }} +   ...... +   \frac{1}{{\sqrt {120} + \sqrt {121} }}{ \text{ = ?}}\)

 

  • 1]

    8

  • 2]

    10

  • 3]

    \(\sqrt {120} \)

  • 4]

    \(12\sqrt 2 \)

Solution
5
Discuss

If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

 

  • 1]

    3/4

  • 2]

    4/3

  • 3]

    3/5

  • 4]

    5/3

Solution
6
Discuss

A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?

  • 1] 1806
  • 2] 1812
  • 3] 1825
  • 4] 1836
Solution
7
Discuss

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

 

  • 1] 10
  • 2] 100
  • 3] 1000
  • 4] None of these
Solution
8
Discuss

If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\)     is:

 

  • 1] 0.1039
  • 2] 0.2078
  • 3] 1.1039
  • 4] 2.1039
Solution
9
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
10
Discuss

What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\)      equal to ?

 

  • 1]

    5

  • 2]

    \(5\sqrt 2 \)

  • 3]

    \(5\sqrt 5 \)

  • 4]

    \(\sqrt 5 \)

Solution
# Quiz