Quantitative Aptitude - Decimal Fraction - Formula & Concept Quiz

If 47.2506=4A+7/B+2C+5/D +6E then the value of 5A+3B+6C+D+3E is

• 1]

  53.6003

• 2]

  53.603

• 3]

  153.6003

• 4]

  213.003

Which of the following has fractions in ascending order?

• 1]

  2/3,3/5,7/9,9/11,8/9

• 2]

   

  3/5,2/3,9/11,7/9,8/9

• 3]

   

  3/5,2/3,7/9,9/11,8/9

• 4]

   

   8/9,9/11,7/9,2/3,3/5

What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6

• 1]

  2/5

• 2]

  3/5

• 3]

  1/6

• 4]

  1/7

617 + 6.017 + 0.617 + 6.0017 = ?

• 1]

  62.96357

• 2]

  62963.57

• 3]

  62.96357

• 4]

  629.6357

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

• 1]

  2010

• 2]

  2011

• 3]

  2012

• 4]

  2013

When 0.232323..... is converted into a fraction, then the result is:

• 1]

  1/5

• 2]

  2/9

• 3]

  23/99

• 4]

  23/100

The sum of  is

• 1]

  

• 2]

  

• 3]

  

• 4]

  

The number 0.121212 ... in the form p/q is equal to

• 1]

  4/11

• 2]

  2/11

• 3]

  4/33

• 4]

  2/33

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

• 1] 2
• 2] 4
• 3] 6
• 4] 8

What decimal of an hour is a second ?

• 1] .0025
• 2] .0256
• 3] .00027
• 4] .000126

The value of \(\frac{{{{\left( {0.96} \right)}^3} - {{\left( {0.1} \right)}^3}}}{{{{\left( {0.96} \right)}^2} + 0.096 + {{\left( {0.1} \right)}^2}}}{ \text{is}}:\)

• 1] 0.86
• 2] 0.95
• 3] 0.97
• 4] 1.06

If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

• 1] 0.172
• 2] 1.72
• 3] 17.2
• 4] 172

When 0.232323..... is converted into a fraction, then the result is:

• 1]

  1/5

• 2]

  2/9

• 3]

  23/99

• 4]

  23/100

\(\frac{{.009}}{?} = .01\)

• 1] .0009
• 2] .09
• 3] .9
• 4] 9

The expression (11.98 × 11.98 + 11.98 × X + 0.02 × 0.02) will be a perfect square for X equal to:

• 1] 0.02
• 2] 0.2
• 3] 0.04
• 4] 0.4

\(\frac{{\left( {0.1667} \right)\left( {0.8333} \right)\left( {0.3333} \right)}}{{\left( {0.2222} \right)\left( {0.6667} \right)\left( {0.1250} \right)}}\)     is approximately equal to:

• 1] 2
• 2] 2.40
• 3] 2.43
• 4] 2.50

3889 + 12.952 - ? = 3854.002

• 1] 47.095
• 2] 47.752
• 3] 47.932
• 4] 47.95

0.04 x 0.0162 is equal to:

• 1] 6.48 x 10-3
• 2] 6.48 x 10-4
• 3] 6.48 x 10-5
• 4] 6.48 x 10-6

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

• 1] 0.5
• 2] 1
• 3] 20
• 4] 22

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

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

• 1] 2010
• 2] 2011
• 3] 2012
• 4] 2013

Which of the following are in descending order of their value ?

• 1]

  \(\frac{1}{3},\frac{2}{5},\frac{3}{7},\frac{4}{5},\frac{5}{6},\frac{6}{7}\)

• 2]

  \(\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{4}{7},\frac{5}{6},\frac{6}{7}\)

• 3]

  \(\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{4}{6},\frac{5}{7},\frac{6}{7}\)

• 4]

  \(\frac{6}{7},\frac{5}{6},\frac{4}{5},\frac{3}{7},\frac{2}{5},\frac{1}{3}\)

Which of the following fractions is greater than 3/4 and less than 5/6 ?

• 1]

  1/2

• 2]

  2/3

• 3]

  4/5

• 4]

  9/10

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

• 1]

  63/487

• 2]

  119/993

• 3]

  125/999

• 4]

  None of these

617 + 6.017 + 0.617 + 6.0017 = ?

• 1] 6.2963
• 2] 62.965
• 3] 629.6357
• 4] None of these

The value of \(\frac{{489.1375 \times 0.0483 \times 1.956}}{{0.0873 \times 92.581 \times 99.749}}\)     is closest to:

• 1] 0.006
• 2] 0.06
• 3] 0.6
• 4] 6

0.002 x 0.5 = ?

• 1] 0.0001
• 2] 0.001
• 3] 0.01
• 4] 0.1

34.95 + 240.016 + 23.98 = ?

• 1] 298.0946
• 2] 298.111
• 3] 298.946
• 4] 299.09

Which of the following is equal to 3.14 x 106 ?

• 1] 314
• 2] 3140
• 3] 3140000
• 4] None of these

The least among the following is:

• 1]

  0.2

• 2]

  1 ÷ 0.2

• 3]

  \(0.\overline 2 \)

• 4]

  (0.2)2

\(\frac{{5 \times 1.6 - 2 \times 1.4}}{{1.3}} = ?\)

• 1] 0.4
• 2] 1.2
• 3] 1.4
• 4] 4

How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?

• 1] 5
• 2] 6
• 3] 7
• 4] None of these

The correct expression of \(6.\overline {46}\) in the fractional form is:

• 1]

  646/99

• 2]

  64640/1000

• 3]

  640/100

• 4]

  640/99

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

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

\(\frac{{0.0203 \times 2.92}}{{0.0073 \times 14.5 \times 0.7}} = ?\)

• 1] 0.8
• 2] 1.45
• 3] 2.40
• 4] 3.25

4.036 divided by 0.04 gives :

• 1] 1.009
• 2] 10.09
• 3] 100.9
• 4] None of these

\(3.\overline {87} - 2.\overline {59} = ?\)

• 1]

  1.20

• 2]

  \(1.\overline 2 \)

• 3]

  \(1.\overline {27} \)

• 4]

  \(1.\overline {28} \)

Solve : \(7\frac{1}{2} -  \left[ {2\frac{1}{4} ÷ \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]\)       = ?

• 1]

  2/9

• 2]

  \(4\frac{1}{2}\)

• 3]

  \(9\frac{1}{2}\)

• 4]

  \(1\frac{77}{228}\)

Which part contains the fractions in ascending order ?

• 1]

  \(\frac{{11}}{{14}},\frac{{16}}{{19}},\frac{{19}}{{21}}\)

• 2]

  \(\frac{{16}}{{19}},\frac{{11}}{{14}},\frac{{19}}{{21}}\)

• 3]

  \(\frac{{16}}{{19}},\frac{{19}}{{21}},\frac{{11}}{{14}}\)

• 4]

  \(\frac{{19}}{{21}},\frac{{11}}{{14}},\frac{{16}}{{19}}\)

The place value of 9 in 0.06945 is :

• 1]

  9

• 2]

  9/10

• 3]

  9/100

• 4]

  9/1000

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 value of \(\frac{{3.157 \times 4126 \times 3.198}}{{63.972 \times 2835.121}}\)    is closest to :

• 1] 0.002
• 2] 0.02
• 3] 0.2
• 4] 2

47.7 × 12.4 × 8.6 = ?

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

Given, 168 × 32 = 5376 , then 5.376 ÷ 16.8 is equal to :

• 1] 0.032
• 2] 0.32
• 3] 3.2
• 4] 32

Which of the following has fractions in ascending order ?

• 1]

  \(\frac{2}{3},\frac{3}{5},\frac{7}{9},\frac{9}{{11}},\frac{8}{9}\)

• 2]

  \(\frac{3}{5},\frac{2}{3},\frac{9}{11},\frac{7}{{9}},\frac{8}{9}\)

• 3]

  \(\frac{3}{5},\frac{2}{3},\frac{7}{9},\frac{9}{{11}},\frac{8}{9}\)

• 4]

  \(\frac{8}{9},\frac{9}{11},\frac{7}{9},\frac{2}{{3}},\frac{3}{5}\)

• 5]

  \(\frac{8}{9},\frac{9}{11},\frac{7}{9},\frac{3}{{5}},\frac{2}{3}\)

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 the 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

5/9 of a number is equal to twenty five percent of second number. Second number is equal to 1/4 of third number. The value of third number is 2960. What is 30% of first number ?

• 1] 99.9
• 2] 88.8
• 3] 77.7
• 4] None of these

Solve this, (3.5 × 1.4)/ 0.7  = ?

• 1] 0.7
• 2] 2.4
• 3] 3.5
• 4] 7.1
• 5] None of these

Express 1999/2111 in decimal :

• 1] 0.893
• 2] 0.904
• 3] 0.946
• 4] 0.986

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

[(?)2 + (18)2] ÷ 125 = 3.56

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

534.596 + 61.472 - 496.708 = ? + 27.271

• 1] 62.069
• 2] 72.089
• 3] 126.631
• 4] 132.788
• 5] None of these

Solve \({\left( {\frac{{18}}{4}} \right)^2} \times \left( {\frac{{455}}{{19}}} \right) \div   \left( {\frac{{61}}{{799}}} \right) = ?\)

• 1] 6320
• 2] 6400
• 3] 6350
• 4] 6430
• 5] 6490

Solve \(\frac{294 ÷ 14 × 5 + 11}{?}\)    = 82 ÷ 5 + 1.7

• 1] 8
• 2] 6
• 3] 12
• 4] 5
• 5] 10

32.4 × 11.5 × 8.5 = ?

• 1] 3149.5
• 2] 3129.1
• 3] 3167.1
• 4] 3162.5
• 5] None of these

Which of the following numbers does not lie between 4/5 and 7/13 =?

• 1]

  1/2

• 2]

  2/3

• 3]

  3/4

• 4]

  5/7

383 × 38 × 3.8 = ?

• 1] 55305.2
• 2] 56305.4
• 3] 57305.6
• 4] 58305.8
• 5] None of these

What is the difference between the biggest and the smallest fraction among 2/3, 3/4, 4/5, and 5/6 ?

• 1]

  1/6

• 2]

  1/12

• 3]

  1/20

• 4]

  1/30

The number 0.121212 ..... in the form p/q is equal to :

• 1]

  2/11

• 2]

  4/11

• 3]

  2/33

• 4]

  4/33

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

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

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

When 52416 is divided by 312, the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

• 1] 3.12
• 2] 312
• 3] 3120
• 4] None of these

The value of (1.25)³ - 2.25 (1.25)² + 3.75 (0.75)² - (0.75)³ is :

• 1]

  1

• 2]

  1/2

• 3]

  1/4

• 4]

  1/8

Solve 21.5/5 + 21/6 - 13.5/15 = {(?)^1/3 /4} +17/30

• 1] 2
• 2] 8
• 3] 512
• 4] 324
• 5] None of these

Out of the fractions 9/31, 3/17, 6/23, 4/11, and 7/25 which is the largest?

• 1]

  9/31

• 2]

  3/17

• 3]

  6/23

• 4]

  4/11

• 5]

  None of these

      is equal to :

• 1]

  1/2

• 2]

  1/3

• 3]

  2

• 4]

  10

58.621 - 13.829 - 7.302 - 1.214 = ?

• 1] 31.254
• 2] 35.272
• 3] 36.276
• 4] 37.281
• 5] None of these

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

The arrangement of rational numbers, -7/10, 5/-8, 2/-3  in ascending order is :

• 1]

  

• 2]

  

• 3]

  

• 4]

  

  = ?

• 1] 0.4
• 2] 1.2
• 3] 1.4
• 4] 4

0.3 + 3 + 3.33 + 3.3 + 3.03 + 333 = ?

• 1] 345.99
• 2] 355.96
• 3] 375.66
• 4] 375.93
• 5] None of these