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Decimal Fraction - Aptitude MCQ Questions and Solutions with Explanations

Decimal Fraction MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Decimal Fraction with easy and logical explanations. Decimal Fraction MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-2 section-2

Each section contains 100 MCQs on Decimal Fraction .
11
(55.25)2 - 637.5625 = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Given expression :
(55.25)2 - (25.25)2
= (55.25 + 25.25) (55.25 - 25.25)
= 80.5 × 30
= 2415
12
Solve : $$4\frac{2}{3}$$ + $$3\frac{1}{2}$$ - $$1\frac{2}{3}$$ = ?
Discuss
Answer & Solution
Answer: Option E
Solution:
Given $$4\frac{2}{3}$$ + $$3\frac{1}{2}$$ - $$1\frac{2}{3}$$
= $$\frac{14}{3}$$ + $$\frac{7}{2}$$ - $$\frac{5}{3}$$
By taking L.C.M. of 3, 2 and 3 is 6
= $$\frac{28 + 21 - 10}{6}$$
= $$\frac{39}{6}$$
= $$\frac{13}{2}$$
= $$6\frac{1}{2}$$
13
One hundredth of centimetre when written in fractions of kilometres, is equal to :
Discuss
Answer & Solution
Answer: Option A
Solution:
Required fraction :
$$\eqalign{ & = \frac{{\frac{1}{{100}}{\text{ cm}}}}{{1{\text{ km}}}} \cr & = \frac{{\left( {\frac{1}{{100}}} \right){\text{ cm}}}}{{\left( {1000 \times 100} \right){\text{ cm}}}} \cr & = \frac{1}{{100 \times 1000 \times 100}} \cr & = \frac{1}{{10000000}} \cr & = 0.0000001 \cr} $$
14
(5420 + 3312 + ?) ÷ 600 = 25.93
Discuss
Answer & Solution
Answer: Option C
Solution:
Let (5420 + 3312 + x) ÷ 600 = 25.93
Then, $$\frac{8732 + x}{600}$$   = 25.93
⇒ 8732 + x = 25.93 × 600
⇒ 8732 + x = 15558
⇒ x = 6826
15
The expression : $$\frac{3}{4}$$ + $$\frac{5}{36}$$ + $$\frac{7}{144}$$ + ..... + $$\frac{17}{5184}$$ + $$\frac{19}{8100}$$ is equal to :
Discuss
Answer & Solution
Answer: Option C
Solution:
Given expression :
$$ = \left( {1 - \frac{1}{4}} \right) + \left( {\frac{1}{4} - \frac{1}{9}} \right) + \left( {\frac{1}{9} - \frac{1}{{16}}} \right)$$       $$ + ..... + $$   $$\left( {\frac{1}{{81}} - \frac{1}{{100}}} \right)$$
$$\eqalign{ & = 1 - \frac{1}{{100}} \cr & = \frac{{99}}{{100}} \cr & = 0.99 \cr} $$
16
Solve : $$1\frac{1}{8}$$ + $$1\frac{6}{7}$$ + $$3\frac{3}{5}$$ = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
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 = $$6\frac{163}{280}$$
17
Given expression : (11.6 ÷ 0.8) (13.5 ÷ 2) = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Given expression :
= $$\frac{116}{8}$$ × $$\frac{13.5}{2}$$
= 14.5 × 6.75
= 97.875
18
$$\frac{96.54 - 89.63}{96.54 + 89.63}$$   ÷ $$\frac{965.4 - 896.3}{9.654 + 8.963}$$   = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Given expression :
= $$\frac{(96.54 - 89.63)}{(96.54 + 89.63)}$$   × $$\frac{(9.654 + 8.963)}{(965.4 - 896.3)}$$
= $$\frac{(96.54 - 89.63)}{(965.4 - 896.3)}$$   × $$\frac{(9.654 + 8.963)}{(96.54 + 89.63)}$$
= $$\frac{(96.54 - 89.63)}{10 (96.54 - 89.63)}$$   × $$\frac{(96.54 + 89.63)}{10 (96.54 + 89.63)}$$
= $$\frac{1}{10}$$ × $$\frac{1}{10}$$
= $$\frac{1}{100}$$
= $$\frac{1}{{{{10}^2}}}$$
= 10 -2
19
$$5.5 - \left[ {6.5 - \left\{ {3.5 \div \left( {6.5 - \overline {5.5 - 2.5} } \right)} \right\}} \right]$$       is equal to :
Discuss
Answer & Solution
Answer: Option B
Solution:
Given expression :
= 5.5 - [6.5 - {3.5 ÷ (6.5 - 3)}]
= 5.5 - [6.5 - {3.5 ÷ 3.5}]
= 5.5 - [6.5 - 1]
= 5.5 - 5.5
= 0
20
$$\left( {\frac{{1.49 \times 14.9 - 0.51 \times 5.1}}{{14.9 - 5.1}}} \right)$$     is equal to :
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & \left( {\frac{{1.49 \times 1.49 \times 10 - 0.51 \times 0.51 \times 10}}{{1.49 \times 10 - 0.51 \times 10}}} \right) \cr & = \frac{{10\left[ {{{\left( {1.49} \right)}^2} - {{\left( {0.51} \right)}^2}} \right]}}{{10\left( {1.49 - 0.51} \right)}} \cr & = \left( {1.49 + 0.51} \right) \cr & = 2 \cr} $$