Quiz Discussion

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

The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is 6/5, what is the original fraction?

• 1]

  22/5

• 2]

  24/5

• 3]

  27/6

• 4]

  28/5

• 5]

  30/11

Evalute \(:\frac{{{{\left( {2.39} \right)}^2} - {{\left( {1.61} \right)}^2}}}{{2.39 - 1.61}}\)

• 1] 2
• 2] 4
• 3] 6
• 4] 8

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

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

If \(\frac{{144}}{{0.144}} = \frac{{14.4}}{x}\)   then the value of x is:

• 1] 0.0144
• 2] 1.44
• 3] 14.4
• 4] 144

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

• 1]

  2/5

• 2]

  1/3

• 3]

  1/15

• 4]

  31/50

[(?)2 + (18)2] ÷ 125 = 3.56

• 1] 11
• 2] 12
• 3] 14
• 4] 15
• 5] None of these

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 least among the following is:

• 1]

  0.2

• 2]

  1 ÷ 0.2

• 3]

  \(0.\overline 2 \)

• 4]

  (0.2)2

The value of \(\left( {\frac{{0.943 \times 0.943 - 0.943 \times 0.057 + 0.057 \times 0.057}}{{0.943 \times 0.943 \times 0.943 + 0.057 \times 0.057 \times 0.057}}} \right)\) is :

• 1] 0.32
• 2] 0.886
• 3] 1.1286
• 4] None of these