Decimal Fraction Questions Answers

• 29. Evaluate
  $$\begin{aligned} \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5} \end{aligned}$$

  1. 80
  2. 800
  3. 8000
  4. 80000

  Answer And Explanation

  Answer: Option B

  Explanation:

  $$\begin{aligned} \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5} \end{aligned}$$
  
  $$\begin{aligned} = \frac{36 \times 48 \times 250}{12 \times 9 \times 5} = 800 \end{aligned}$$
  
  

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• 30. Evaluate
  $$\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1} \end{aligned}$$

  1. 113
  2. 1.13
  3. 11.3
  4. 113

  Answer And Explanation

  Answer: Option C

  Explanation:

  $$\begin{aligned} a^3 + b^3 = (a+b)(a^2 + b^2 - ab) \end{aligned}$$
  
  $$\begin{aligned} = \frac{10.3^3 + 1^3} {10.3^2 + 1^2 - 10.3 \times 1} \end{aligned}$$
  
  $$\begin{aligned} = (a+b) = (10.3+1) = 11.3 \end{aligned}$$
  

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• 31. $$\begin{aligned} \frac{5 \times 1.6 - 2 \times 1.4}{1.3} = ? \end{aligned}$$

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

  Answer And Explanation

  Answer: Option D

  Explanation:

  As per given equation we can solve like this :
  
  $$\begin{aligned} = \frac{8 - 2.8}{1.3} \\ = \frac{5.2}{1.3} = \frac{52}{13} \\ = 4 \end{aligned}$$

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