Practice MCQ Questions and Answer on Decimal Fraction

31.

$$\text{Math input error}$$   is simplified to :

• (A) 1
• (B) 0.1
• (C) 0.01
• (D) 10

Show Answer

 Given expression : = $$\frac{441 × 16}{21 × 16 × 21}$$ = $$\frac{{7056}}{{7056}}$$ = 1

32.

Solve $$\frac{3}{5}$$ of $$\frac{4}{7}$$ of $$\frac{5}{12}$$ of 1015 = ?

• (A) 220
• (B) 340
• (C) 240
• (D) 145

Show Answer

 Given $$\frac{3}{5}$$ of $$\frac{4}{7}$$ of $$\frac{5}{12}$$ of 1015 ⇒ x = $$\frac{3}{5}$$ × $$\frac{4}{7}$$ × $$\frac{5}{12}$$ × 1015 ⇒ x = 145

33.

$$\frac{.009}{?}=.01$$

• (A) .0009
• (B) .09
• (C) .9
• (D) 9

Show Answer

 $$\eqalign{ & {\text{Let}}\,\frac{{.009}}{x} = .01; \cr & {\text{Then}}\,x = \frac{{.009}}{{.01}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{.9}}{1} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = .9 \cr} $$

34.

7777 ÷ 77 ÷ 5 = ?

• (A) 15.2
• (B) 18.5
• (C) 22.4
• (D) 50.5

Show Answer

Answer & Solution Answer: Option E Solution: Given expression : 7777 ÷ 77 ÷ 5 = 101 ÷ 5 = 20.2

35.

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

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

Show Answer

 $$0.125125... = 0.\overline {125} = \frac{{125}}{{999}}$$

36.

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

• (A) $$\frac{5}{9},\frac{7}{11},\frac{8}{15},\frac{11}{17}$$
• (B) $$\frac{5}{9},\frac{8}{15},\frac{11}{17},\frac{7}{11}$$
• (C) $$\frac{11}{17},\frac{7}{11},\frac{8}{15},\frac{5}{9}$$
• (D) $$\frac{11}{17},\frac{7}{11},\frac{5}{9},\frac{8}{15}$$

Show Answer

 Converting each of the given fractions in to decimal form, we get $$\frac{5}{9}$$ = 0.55 $$\frac{7}{11}$$ = 0.63 $$\frac{8}{15}$$ = 0.533 $$\frac{11}{17}$$ = 0.647 Clearly, 0.647 > 0.63 > 0.55 > 0.533 So, $$\frac{11}{17}$$ > $$\frac{7}{11}$$ > $$\frac{5}{9}$$ > $$\frac{8}{15}$$

37.

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

• (A) 0.172
• (B) 1.72
• (C) 17.2
• (D) 172

Show Answer

 = $$\frac{29.94}{1.45}$$ = $$\frac{299.4}{14.5}$$ = $$\frac{2994}{14.5}$$ × $$\frac{1}{10}$$ = $$\frac{172}{10}$$ = 17.2

38.

Solve 1599 ÷ 39.99 + $$\frac{4}{5}$$ × 2449 - 120.05 = ?

• (A) 1880
• (B) 1940
• (C) 1680
• (D) 1980

Show Answer

 Given = 1599 ÷ 39.99 + $$\frac{4}{5}$$ × 2449 - 120.05 = 1600 ÷ 40 + $$\frac{4}{5}$$ × 2450 - 120 = 1600 ÷ 40 + 1960 - 120 = 40 + 1960 - 120 = 1880

39.

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

• (A) $$\frac{22}{5}$$
• (B) $$\frac{24}{5}$$
• (C) $$\frac{27}{6}$$
• (D) $$\frac{28}{5}$$

Show Answer

 Let original fraction be $$\frac{a}{b}$$ Now, according to the question, $$\eqalign{ & \Leftrightarrow \frac{{a - a \times \frac{{25}}{{100}}}}{{b + b \times \frac{{250}}{{100}}}} = \frac{6}{5} \cr & \Rightarrow \frac{{0.75a}}{{3.50b}} = \frac{6}{5} \cr & \Rightarrow \frac{a}{b} = \frac{6}{5} \times \frac{{3.50}}{{0.75}} \cr & \Rightarrow \frac{a}{b} = \frac{{6 \times 350 \times 100}}{{5 \times 75 \times 100}} \cr & \Rightarrow \frac{a}{b} = \frac{{28}}{5} \cr} $$

40.

The value of $$\left[35.7-\left(3+\frac{1}{3+\frac{1}{3}}\right)-\left(2+\frac{1}{2+\frac{1}{2}}\right)\right]$$       is :

• (A) 30
• (B) 34.8
• (C) 36.6
• (D) 41.4

Show Answer

 Given expression : $$\eqalign{ & = 35.7 - \left( {3 + \frac{1}{{\frac{{10}}{3}}}} \right) - \left( {2 + \frac{1}{{\frac{5}{2}}}} \right) \cr & = 35.7 - \left( {3 + \frac{3}{{10}}} \right) - \left( {2 + \frac{2}{5}} \right) \cr & = 35.7 - \frac{{33}}{{10}} - \frac{{12}}{5} \cr & = 35.7 - \left( {\frac{{33}}{{10}} + \frac{{12}}{5}} \right) \cr & = 35.7 - \frac{{57}}{{10}} \cr & = 35.7 - 5.7 \cr & = 30 \cr} $$