Practice MCQ Questions and Answer on Decimal Fraction

51.

40.04 ÷ 0.4 = ? × 0.05

• (A) 20.02
• (B) 20.2
• (C) 200.2
• (D) 2002

Show Answer

 Let 40.04 ÷ 0.4 = x × 0.05 Then, $$\frac{40.04}{0.4}$$ = 0.05x ⇒ $$\frac{400.4}{4}$$ = 0.05x ⇒ 0.05x = 100.1 ⇒ x = $$\frac{100.1}{0.05}$$ ⇒ x = $$\frac{10010}{5}$$ = 2002

52.

0.002 x 0.5 = ?

• (A) 0.0001
• (B) 0.001
• (C) 0.01
• (D) 0.1

Show Answer

 2 x 5 = 10. Sum of decimal places = 4 ∴ 0.002 x 0.5 = 0.001

53.

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

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

54.

3889 + 12.952 - ? = 3854.002

• (A) 47.095
• (B) 47.752
• (C) 47.932
• (D) 47.95

Show Answer

 Let 3889 + 12.952 - x = 3854.002. Then x = (3889 + 12.952) - 3854.002     = 3901.952 - 3854.002     = 47.95

55.

7777 ÷ 77 ÷ 5 = ?

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

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

56.

6425 ÷ 125 × 8 = ?

• (A) 41.12
• (B) 64.25
• (C) 411.2
• (D) 421.25

Show Answer

 Given expression : 51.4 × 8 = 411.2

57.

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?

• (A) 2010
• (B) 2011
• (C) 2012
• (D) 2013

Show Answer

 Suppose commodity X will cost 40 paise more than Y after z years Then,(4.20 + 0.40z) − (6.30 + 0.15z) = 0.40 ⇒ 0.25z = 0.40 + 2.10 $$\eqalign{ & \Rightarrow z = \frac{{2.50}}{{0.25}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{250}}{{25}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 10 \cr} $$ ∴ X will cost 40 paise more than Y 10 years After 2001 i.e., 2011

58.

(55.25)² - 637.5625 = ?

• (A) 25.25
• (B) 625
• (C) 1375
• (D) 2415

Show Answer

 Given expression : (55.25)2 - (25.25)2 = (55.25 + 25.25) (55.25 - 25.25) = 80.5 × 30 = 2415

59.

34.95 + 240.016 + 23.98 = ?

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

Show Answer

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

60.

4.036 divided by 0.04 gives :

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

Show Answer

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