Decimal Fraction - Aptitude MCQ Questions and Solutions with Explanations

21

34.95 + 240.016 + 23.98 = ?

A) 298.0946 B) 298.111 C) 298.946 D) 299.09

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & \,\,\,\,34.95 \cr & \,240.016 \cr & + 23.98 \cr & - - - - - \cr & 298.946 \cr & - - - - - \cr} $$

22

Which of the following is equal to 3.14 x 10⁶ ?

A) 314 B) 3140 C) 3140000 D) None of these

Discuss

Answer & Solution

Answer: Option C

Solution:

3.14 x 10⁶
= 3.14 x 1000000
= 3140000

23

The least among the following is:

A) 0.2 B) 1 ÷ 0.2 C) $$0.\overline 2 $$ D) (0.2)²

Discuss

Answer & Solution

Answer: Option D

Solution:

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

24

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

A) 0.4 B) 1.2 C) 1.4 D) 4

Discuss

Answer & Solution

Answer: Option D

Solution:

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

25

How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?

A) 5 B) 6 C) 7 D) None of these

Discuss

Answer & Solution

Answer: Option B

Solution:

Sum of decimal places = 7.
Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.

26

The correct expression of $$6.\overline {46}\,$$ in the fractional form is:

A) $$\frac{{646}}{{99}}$$ B) $$\frac{{64640}}{{1000}}$$ C) $$\frac{{640}}{{100}}$$ D) $$\frac{{640}}{{99}}$$

Discuss

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & 6.\overline {46} \cr & = 6 + 0.\overline {46} \cr & = 6 + \frac{{46}}{{99}} \cr & = \frac{{594 + 46}}{{99}} \cr & = \frac{{640}}{{99}} \cr} $$

27

The fraction $$101\frac{{27}}{{100000}}$$ in decimal for is

A) .01027 B) .10127 C) 101.00027 D) 101.000027

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & 101\frac{{27}}{{100000}} \cr & = 101 + \frac{{27}}{{100000}} \cr & = 101 + .00027 \cr & = 101.00027 \cr} $$

28

$$\frac{{0.0203 \times 2.92}}{{0.0073 \times 14.5 \times 0.7}} = ?$$

A) 0.8 B) 1.45 C) 2.40 D) 3.25

Discuss

Answer & Solution

Answer: Option A

Solution:

$$\eqalign{ & \frac{{0.0203 \times 2.92}}{{0.0073 \times 14.5 \times 0.7}} \cr & = \frac{{203 \times 292}}{{73 \times 145 \times 7}} \cr & = \frac{4}{5} \cr & = 0.8 \cr} $$

29

4.036 divided by 0.04 gives :

A) 1.009 B) 10.09 C) 100.9 D) None of these

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & \frac{{4.036}}{{0.04}} \cr & = \frac{{403.6}}{4} \cr & = 100.9 \cr} $$

30

$$3.\overline {87} - 2.\overline {59} = ?$$

A) 1.20 B) $$1.\overline 2 $$ C) $$1.\overline {27} $$ D) $$1.\overline {28} $$

Discuss

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & 3.\overline {87} - 2.\overline {59} \cr & = \left( {3 + 0.\overline {87} } \right) - \left( {2 + 0.\overline {59} } \right) \cr & = \left( {3 + \frac{{87}}{{99}}} \right) - \left( {2 + \frac{{59}}{{99}}} \right) \cr & = 1 + \left( {\frac{{87}}{{99}} - \frac{{59}}{{99}}} \right) \cr & = 1 + \frac{{28}}{{99}} \cr & = 1.\overline {28} \cr} $$