Practice MCQ Questions and Answer on Decimal Fraction

1.

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

• (A) 0.4
• (B) 1.2
• (C) 1.4
• (D) 4

Show Answer

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

2.

0.5 × 0.5 + 0.5 ÷ 5 is equal to :

• (A) 0.15
• (B) 0.25
• (C) 0.35
• (D) 0.45

Show Answer

 Given expression : 0.5 × 0.5 + $$\frac{0.5}{5}$$ = 0.25 + 0.1 = 0.35

3.

The number 0.121212 ..... in the form $$\frac{p}{q}$$ is equal to :

• (A) $$\frac{2}{11}$$
• (B) $$\frac{4}{11}$$
• (C) $$\frac{2}{33}$$
• (D) $$\frac{4}{33}$$

Show Answer

 $$\eqalign{ & 0.121212...... \cr & = 0.\overline {12} \cr & = \frac{{12}}{{99}} \cr & = \frac{4}{{33}} \cr} $$

4.

$$\text{Math input error}$$   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

5.

The least among the following is:

• (A) 0.2
• (B) 1 ÷ 0.2
• (C) $$0.\bar{2}$$
• (D) (0.2)2

Show Answer

 $$\eqalign{ & 1 \div 0.2 = \frac{1}{{0.2}} = \frac{{10}}{2} = 5; \cr & 0.\overline 2 = 0.222...; \cr & {\left( {0.2} \right)^2} = 0.04 \cr & 0.04 0.2 0.22.... 5 \cr & {\text{Since}}\,0.04\,{\text{is}}\,{\text{the}}\,{\text{least,}}\,{\text{so}}\,{\left( {0.2} \right)^2}\,{\text{is}}\,{\text{the}}\,{\text{least}}. \cr} $$

6.

$$0.4\overline{23}$$   is equivalent to the fraction :

• (A) $$\frac{94}{99}$$
• (B) $$\frac{49}{99}$$
• (C) $$\frac{491}{990}$$
• (D) $$\frac{419}{990}$$

Show Answer

 $$\eqalign{ & = 0.4\overline {23} \cr & = \frac{{423 - 4}}{{990}} \cr & = \frac{{419}}{{990}} \cr} $$

7.

The value of $$\frac{3.6\times 0.48\times 2.50}{0.12\times 0.09\times 0.5}$$    is :

• (A) 80
• (B) 800
• (C) 8000
• (D) 80000

Show Answer

 $$\eqalign{ & = \frac{{3.6 \times 0.48 \times 2.50}}{{0.12 \times 0.09 \times 0.5}} \cr & = \frac{{36 \times 48 \times 250}}{{12 \times 9 \times 5}} \cr & = 800 \cr} $$

8.

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

• (A) $$\frac{1}{3},\frac{2}{5},\frac{3}{7},\frac{4}{5},\frac{5}{6},\frac{6}{7}$$  
• (B) $$\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{4}{7},\frac{5}{6},\frac{6}{7}$$  
• (C) $$\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{4}{6},\frac{5}{7},\frac{6}{7}$$  
• (D) $$\frac{6}{7},\frac{5}{6},\frac{4}{5},\frac{3}{7},\frac{2}{5},\frac{1}{3}$$  

Show Answer

 Converting each of the given fractions in to decimal form, we get $$\eqalign{ & \frac{1}{3} = 0.33 \cr & \frac{2}{5} = 0.4 \cr & \frac{3}{7} = 0.42 \cr & \frac{4}{5} = 0.8 \cr & \frac{5}{6} = 0.83 \cr & \frac{6}{7} = 0.85 \cr} $$ Clearly, 0.85 > 0.83 > 0.8 > 0.42 > 0.4 > 0.33 So, $$\frac{6}{7}$$ > $$\frac{5}{6}$$ > $$\frac{4}{5}$$ > $$\frac{3}{7}$$ > $$\frac{2}{5}$$ > $$\frac{1}{3}$$

9.

$$\left(0.34\overline{67}+0.13\overline{33}\right)$$   is equal to :

• (A) $$0.4\bar{8}$$
• (B) $$0.\bar{4}8$$
• (C) $$0.48\overline{01}$$
• (D) $$0.48$$

Show Answer

 $${0.34\overline {67} + 0.13\overline {33} }$$ = $$\frac{3467 - 34}{9900}$$  + $$\frac{1333 - 13}{9900}$$ = $$\frac{3433 + 1320}{9900}$$ = $$\frac{4753}{9900}$$ = $$\frac{4801 - 48}{9900}$$ = $${0.48\overline {01} }$$

10.

[(?)² + (18)²] ÷ 125 = 3.56

• (A) 11
• (B) 12
• (C) 14
• (D) 15

Show Answer

 Let, $$\frac{{{x^2} + {{\left( {18} \right)}^2}}}{{125}} = 3.56$$ Then, $$\eqalign{ & {x^2} + 324 = 125 \times 3.56 = 445 \cr & \Rightarrow {x^2} = 121 \cr & \Rightarrow x = 11 \cr} $$