Quiz Discussion

If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}   \) then the value of \({x^3} - \frac{1}{{{x^3}}}\)  is?

 

Course Name: Quantitative Aptitude

  • 1]

    \(10\sqrt 2 \)

  • 2]

    \(14\sqrt 2\)

  • 3]

    \(22\sqrt 2\)

  • 4]

    \(8\sqrt 2\)

Solution
No Solution Present Yet

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# Quiz
1
Discuss

Direction: In the question given below the given mathematical symbols are changed from '+' to '÷', '-' to '×', '÷' to '-' and from '×' to '+', then choose your answers from the following options.

  • 1] -13
  • 2] -3
  • 3] 4
  • 4] 7
Solution
2
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
3
Discuss

Simplify : \(\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] \div \left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] = ?\)

 

  • 1]

    100/101

  • 2]

    90/101

  • 3]

    20/101

  • 4]

    101/100

Solution
4
Discuss

Evaluate : \({{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}\)

 

  • 1]

    \(\frac{3}{8}\)

  • 2]

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

  • 3]

    \(\frac{8}{3}\)

  • 4]

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

Solution
5
Discuss

24.962 ÷ (34.11 ÷ 20.05) + 67.96 - 89.11 = ?

  • 1] 884
  • 2] 346
  • 3] 252
  • 4] 424
  • 5] 366
Solution
6
Discuss

The value of \(\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{ \text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} +\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}\)   is = ?

 

  • 1] -1
  • 2] 0
  • 3] 1
  • 4] None of these
Solution
7
Discuss

If \(\root 3 \of {{3^n}} { \text{ = 27,}}\)  then the value of n is = ?

 

  • 1] 9
  • 2] 6
  • 3] 1
  • 4] 3
Solution
8
Discuss

Simplify : \(\root 3 \of { - 2197} \,\times \)  \(\root 3 \of { - 125} \,\,\div \)   \(\root 3 \of {\frac{{27}}{{512}}} \)  = ?

 

  • 1]

    \(\frac{{492}}{7}\)

  • 2]

    \(\frac{{520}}{3}\)

  • 3]

    \(\frac{{554}}{7}\)

  • 4]

    \(\frac{{571}}{5}\)

Solution
9
Discuss

If 547.527/0.0082   then the value of 547527/82   is = ?

 

  • 1]

    10x

  • 2]

    100x

  • 3]

    x/100

  • 4]

    x/10

Solution
10
Discuss

(4/9) × 1701 + (2/11) × 1386 = ?

  • 1]

    180

  • 2]

    1080

  • 3]

    1008

  • 4]

    1800

Solution
# Quiz