Quiz Discussion

The value of \(\left( {\frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}} \right) \)      is :

• 1] 0.5
• 2] 0.25
• 3] 0.125
• 4] 0.0125

The rational number for recurring decimal 0.125125.... is:

• 1]

  63/487

• 2]

  119/993

• 3]

  125/999

• 4]

  None of these

Which of the following fractions lies between 2/3 and 3/5 = ?

• 1]

  2/5

• 2]

  1/3

• 3]

  1/15

• 4]

  31/50

Find the value of the following expression upto four places of decimals.

\(\left[ {1 + \frac{1}{{1 \times 2}} + \frac{1}{{1 \times 2 \times 4}} + \frac{1}{{1 \times 2 \times 4 \times 8}} + \frac{1}{{1 \times 2 \times 4 \times 8 \times 16}}} \right]\)

• 1] 1.6414
• 2] 1.6415
• 3] 1.6416
• 4] 1.6428

47.7 × 12.4 × 8.6 = ?

• 1] 5086.728
• 2] 5218.668
• 3] 5708.428
• 4] 6180.656
• 5] None of these

The least among the following is:

• 1]

  0.2

• 2]

  1 ÷ 0.2

• 3]

  \(0.\overline 2 \)

• 4]

  (0.2)2

\(\frac{{4.2 \times 4.2 - 1.9 \times 1.9}}{{2.3 \times 6.1}}\)    is equal to:

• 1] 0.5
• 2] 1
• 3] 20
• 4] 22

\(\frac{{{{\left( {0.013} \right)}^3} + 0.000000343}}{{{{\left( {0.013} \right)}^2} - 0.000091 + 0.000049}} = \,?\) = ?

• 1] 0.002
• 2] 0.020
• 3] 0.021
• 4] 0.023

The rational numbers lying between 1/3 and 3/4 are :

• 1]

  \(\frac{{117}}{{300}},\frac{{287}}{{400}}\)

• 2]

  \(\frac{{95}}{{300}},\frac{{301}}{{400}}\)

• 3]

  \(\frac{{99}}{{300}},\frac{{301}}{{400}}\)

• 4]

  \(\frac{{97}}{{300}},\frac{{299}}{{500}}\)

The fraction \( 101\frac{{27}}{{100000}}\)   in decimal for is

• 1] .01027
• 2] .10127
• 3] 101.00027
• 4] 101.000027