Practice MCQ Questions and Answer on Decimal Fraction

131.

$$\begin{array}{rl}& \text{The}\text{value}\text{of}\\ & \frac{0.1\times 0.1\times 0.1+0.02\times 0.02\times 0.02}{0.2\times 0.2\times 0.2+0.04\times 0.04\times 0.04}\text{is}:\end{array}$$

• (A) 0.0125
• (B) 0.125
• (C) 0.25
• (D) 0.5

Show Answer

 $$\eqalign{ & {\text{Give}}\,{\text{expression}} \cr & = \frac{{{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}}}{{{2^3}\left[ {{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}} \right]}} \cr & = \frac{1}{8} \cr & = 0.125 \cr} $$

132.

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

• (A) 0.4
• (B) 1.2
• (C) 1.4
• (D) 4

Show Answer

 $$\eqalign{ & {\text{Given Expression}} \cr & = \frac{{8 - 2.8}}{{1.3}} \cr & = \frac{{5.2}}{{1.3}} \cr & = \frac{{52}}{{13}} \cr & = 4 \cr} $$

133.

The fraction equivalent to $$\frac{2}{5}$$% is :

• (A) $$\frac{1}{40}$$
• (B) $$\frac{1}{125}$$
• (C) $$\frac{1}{250}$$
• (D) $$\frac{1}{500}$$

Show Answer

 $$\frac{2}{5}$$% = $$\frac{2}{5}$$ × $$\frac{1}{100}$$ = $$\frac{1}{250}$$

134.

Simplify : $$\frac{5.32\times 56+5.32\times 44}{{\left(7.66\right)}^2-{\left(2.34\right)}^2}$$

• (A) 7.2
• (B) 8.5
• (C) 10
• (D) 12

Show Answer

 Given expression : $$\eqalign{ & = \frac{{5.32 \times \left( {56 + 44} \right)}}{{\left( {7.66 + 2.34} \right)\left( {7.66 - 2.34} \right)}} \cr & = \frac{{5.32 \times 100}}{{10 \times 5.32}} \cr & = 10 \cr} $$

135.

617 + 6.017 + 0.617 + 6.0017 = ?

• (A) 6.2963
• (B) 62.965
• (C) 629.6357
• (D) None of these

Show Answer

 $$\eqalign{ & 617.00 \cr & \,\,\,\,\,\,\,6.017 \cr & \,\,\,\,\,\,\,0.617 \cr & + \,\,\,6.0017 \cr & - - - - - - \cr & \,\,\,629.6357 \cr & - - - - - - \cr} $$

136.

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

Show Answer

 $$\eqalign{ & {\text{Given,}} \cr & \frac{{52416}}{{312}} = 168 \cr & \Leftrightarrow \frac{{52416}}{{168}} = 312 \cr & {\text{Now,}} \cr & \frac{{52.416}}{{0.0168}} \cr & = \frac{{524160}}{{168}} \cr & = \frac{{52416}}{{168}} \times 10 \cr & = 312 \times 10 \cr & = 3120 \cr} $$

137.

Solve : $$1\frac{1}{8}$$ + $$1\frac{6}{7}$$ + $$3\frac{3}{5}$$ = ?

• (A) $$8\frac{121}{140}$$
• (B) $$6\frac{163}{280}$$
• (C) $$9\frac{197}{280}$$
• (D) $$7\frac{117}{140}$$

Show Answer

 Given, $$1\frac{1}{8}$$ + $$1\frac{6}{7}$$ + $$3\frac{3}{5}$$ $$\frac{9}{8}$$ + $$\frac{13}{7}$$ + $$\frac{18}{5}$$ = x By taking the L.C.M. of 8, 7 and 5 is 280 x = $$\frac{315 + 520 + 1008}{280}$$ x = $$\frac{1843}{280}$$ x = $$6\frac{163}{280}$$

138.

$$2.8\overline{768}$$   is equal to :

• (A) $$2\frac{878}{999}$$
• (B) $$2\frac{9}{10}$$
• (C) $$2\frac{292}{333}$$
• (D) $$2\frac{4394}{4995}$$

Show Answer

 $$\eqalign{ & = 2.8\overline {768} \cr & = 2 + 0.8\overline {768} \cr & = 2 + \frac{{8768 - 8}}{{9990}} \cr & = 2 + \frac{{8760}}{{9990}} \cr & = 2\frac{{292}}{{333}} \cr} $$

139.

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

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

Show Answer

 $$\eqalign{ & 0.\overline {142857} \div 0.\overline {285714} \cr & = \frac{{142857}}{{999999}} \div \frac{{285714}}{{999999}} \cr & = \left( {\frac{{142857}}{{999999}} \times \frac{{999999}}{{285714}}} \right) \cr & = \frac{1}{2} \cr} $$

140.

(833.25 - 384.45) ÷ 24 = ?

• (A) 1.87
• (B) 2.01
• (C) 18.7
• (D) 20.1

Show Answer

 Given expression : (833.25 - 384.45) ÷ 24 = 18.7