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Aptitude Arithmetic & Geometric Progression Practice Q&A - Easy

2556.When 0.232323..... is converted into a fraction, then the result is:
$ \dfrac{1}{5} $
$ \dfrac{2}{9} $
$ \dfrac{23}{99} $
$ \dfrac{23}{100} $
Explanation:

0.232323...=0$.\overline{23}$= $ \dfrac{23}{99} $

2557.$\dfrac{.009}{?}$=.01
.0009
.09
.9
9
Explanation:

Let$ \dfrac{.009}{x} $= .01;     Then $ x $ =$ \dfrac{.009}{.01} $=$ \dfrac{.9}{1} $= .9

2561.0.04 x 0.0162 is equal to:
6.48 x 10-3
6.48 x 10-4
6.48 x 10-5
6.48 x 10-6
Explanation:

4 x 162 = 648. Sum of decimal places = 6.

So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10-4

2563.If $\dfrac{144}{0.144}$=$\dfrac{14.4}{x}$, Then the value of $x$ is:
0.0144
1.44
14.4
144
Explanation:

$\dfrac{144}{0.144} $=$ \dfrac{14.4}{x} $

$\Rightarrow \dfrac{144 \times 1000}{144} $=$ \dfrac{14.4}{x} $

$\Rightarrow$ x = $ \dfrac{14.4}{1000} $= 0.0144

2565.Which of the following are in descending order of their value ?
$ \dfrac{1}{3} $,$ \dfrac{2}{5} $,$ \dfrac{3}{7} $,$ \dfrac{4}{5} $,$ \dfrac{5}{6} $,$ \dfrac{6}{7} $
$ \dfrac{1}{3} $,$ \dfrac{2}{5} $,$ \dfrac{3}{5} $,$ \dfrac{4}{7} $,$ \dfrac{5}{6} $,$ \dfrac{6}{7} $
$ \dfrac{1}{3} $,$ \dfrac{2}{5} $,$ \dfrac{3}{5} $,$ \dfrac{4}{6} $,$ \dfrac{5}{7} $,$ \dfrac{6}{7} $
$ \dfrac{6}{7} $,$ \dfrac{5}{6} $,$ \dfrac{4}{5} $,$ \dfrac{3}{7} $,$ \dfrac{2}{5} $,$ \dfrac{1}{3} $
Explanation:
Convert to decimal
$ \dfrac{6}{7} $ = 0.85
$ \dfrac{5}{6} $ = 0.83
$ \dfrac{4}{5} $ = 0.8
$ \dfrac{3}{7} $ = 0.43
$ \dfrac{2}{5} $ = 0.4
$ \dfrac{1}{3} $ = 0.3
So, $ \dfrac{6}{7} $,$ \dfrac{5}{6} $,$ \dfrac{4}{5} $,$ \dfrac{3}{7} $,$ \dfrac{2}{5} $,$ \dfrac{1}{3} $
2567.The rational number for recurring decimal 0.125125.... is:
$ \dfrac{63}{487} $
$ \dfrac{119}{993} $
$ \dfrac{125}{999} $
None of these
Explanation:

0.125125... = 0.125 =$ \dfrac{125}{999} $

2568.617 + 6.017 + 0.617 + 6.0017 = ?
6.2963
62.965
629.6357
None of these
Explanation:

617.00

   6.017

   0.617

+ 6.0017

-------------

629.6357

-------------

2570.0.002 x 0.5 = ?
0.0001
0.001
0.01
0.1
Explanation:

2 x 5 = 10.

Sum of decimal places = 4

$\therefore$ 0.002 x 0.5 = 0.001

2571.34.95 + 240.016 + 23.98 = ?
298.0946
298.111
298.946
299.09
Explanation:

  34.95

240.016

+23.98

-------------

298.946

-------------

2572.Which of the following is equal to 3.14 x 106 ?
314
3140
3140000
None of these
Explanation:

3.14 x 106 = 3.14 x 1000000 = 3140000.

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