Quiz Discussion

The simplest value of \(\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)\)          is = ?

 

Course Name: Quantitative Aptitude

  • 1]

    \(3 - \sqrt 5 \)

  • 2]

    3

  • 3]

    \(\sqrt 5 \)

  • 4]

    \(\sqrt 5 - 3\)

Solution
No Solution Present Yet

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# Quiz
1
Discuss

If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b}  \)    and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\)   = ?

 

  • 1]

    \(\frac{{2ab}}{{{a^2} - {b^2}}}\)

  • 2]

    \(\frac{{{a^2} - {b^2}}}{{2ab}}\)

  • 3]

    \(\frac{{{a^2} + {b^2}}}{{2ab}}\)

  • 4]

    \(\frac{{{a^2} - {b^2}}}{{ab}}\)

Solution
2
Discuss

\(\frac{{ \root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125} \)     is equal to = ?

 

  • 1]

    7

  • 2]

    \(1\frac{3}{4}\)

  • 3]

    \(\frac{7}{{1000}}\)

  • 4]

    \(\frac{4}{7}\)

Solution
3
Discuss

If \(\left( {{a^4} + \frac{1}{{{a^4}}}} \right){ \text{ = 1154,}}\)     then the value of \(\left( {{a^3} + \frac{1}{{{a^3}}}} \right)\)   is = ?

 

  • 1] 198
  • 2] 200
  • 3] 216
  • 4] None of these
Solution
4
Discuss

The value of x in the equation  = 5     is?

 

  • 1] 21
  • 2] 27
  • 3] 35
  • 4] 42
Solution
5
Discuss

\(\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)\)       simplifies to = ?

 

  • 1] 350
  • 2] 785
  • 3] 1220
  • 4] 1320
Solution
6
Discuss

\(\sqrt {0.00060516} \)     is equal to = ?

 

  • 1] 0.0246
  • 2] 0.00246
  • 3] 0.246
  • 4] 0.000246
Solution
7
Discuss

Let 0 < x < 1, then the correct inequality is = ?

  • 1]

    \(x < \sqrt x < {x^2}\)

  • 2]

    \(\sqrt x < x < {x^2}\)

  • 3]

    \({x^2} < x < \sqrt x \)

  • 4]

    \(\sqrt x < {x^2} < x\)

Solution
8
Discuss

1 - [5 - {2 + (- 5 + 6 - 2) 2}] is equal to:

  • 1] -4
  • 2] 2
  • 3] 0
  • 4] 2
Solution
9
Discuss

The simplified value of \(\frac{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) - \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}}{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) + \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}} = ?\)

 

  • 1]

    100

  • 2]

    200/101

  • 3]

    200

  • 4]

    202/100

Solution
10
Discuss

The square root of \(\frac{{0.342 \times 0.684}}{{0.000342 \times 0.000171}} = ?\)

 

  • 1] 250
  • 2] 2500
  • 3] 2000
  • 4] 4000
Solution
# Quiz