Import Question JSON

Current Question (ID: 18967)

Question:

$\text{The area of a square is } 5.29 \text{ cm}^2. \text{ The area of } 7 \text{ such squares taking into account the significant figures is:}$

Options:

1. $37.03 \text{ cm}^2$
2. $37.0 \text{ cm}^2$
3. $37 \text{ cm}^2$
4. $37.030 \text{ cm}^2$

Solution:

$\text{Hint: Answer should be in two digit after decimal.}$ $\text{Step: Find the area of } 7 \text{ squares taking into account the significant figures.}$ $A = 5.29 + 5.29 + 5.29 + 5.29 + 5.29 + 5.29 + 5.29$ $\Rightarrow A = 37.03 \text{ m}^2$ $\text{When performing addition with significant figures, the answer should be rounded to the same number of decimal places as the number with the fewest decimal places in the calculation. Hence;}$ $\Rightarrow A = 37.03 \text{ m}^2$ $\text{Hence, option (1) is the correct answer.}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}