Decimal Fraction

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

A
$$\frac{{63}}{{487}}$$
B
$$\frac{{119}}{{993}}$$
C
$$\frac{{125}}{{999}}$$
D
None of these

12 Which of the following fractions lies between $$\frac{2}{3}$$ and $$\frac{3}{5}$$ = ?

A
$$\frac{2}{5}$$
B
$$\frac{1}{3}$$
C
$$\frac{1}{15}$$
D
$$\frac{31}{50}$$

13 $$\frac{5}{9}$$ of a number is equal to twenty five percent of second number. Second number is equal to $$\frac{1}{4}$$ of third number. The value of third number is 2960. What is 30% of first number ?

A
99.9
B
88.8
C
77.7
D
None of these

14 Solve this, $$\frac{3.5 × 1.4}{0.7}$$  = ?

A
0.7
B
2.4
C
3.5
D
7

15 Express $$\frac{1999}{2111}$$ in decimal :

A
0.893
B
0.904
C
0.946
D
0.986

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

A
3.12
B
312
C
3120
D
None of these

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

A
1
B
$$\frac{1}{2}$$
C
$$\frac{1}{4}$$
D
$$\frac{1}{8}$$

18 Solve $$\frac{{21.5}}{5} + \frac{{21}}{6}$$ $$ - \frac{{13.5}}{{15}}$$ $$ = \left\{ {\frac{{{{\left( ? \right)}^{\frac{1}{3}}}}}{4}} \right\}$$  $$ + \frac{{17}}{{30}}$$

A
2
B
8
C
512
D
15625

19 Out of the fractions $$\frac{9}{31}$$, $$\frac{3}{17}$$, $$\frac{6}{23}$$, $$\frac{4}{11}$$ and $$\frac{7}{25}$$ which is the largest ?

A
$$\frac{9}{31}$$
B
$$\frac{3}{17}$$
C
$$\frac{6}{23}$$
D
$$\frac{4}{11}$$

20 $$0.\overline {142857} \div 0.\overline {285714} $$     is equal to :

A
$$\frac{1}{2}$$
B
$$\frac{1}{3}$$
C
2
D
10