Import Question JSON

Current Question (ID: 8780)

Question:

$\text{The sum of the numbers 436.32, 227.2, and 0.301 in the appropriate significant figures is:}$

Options:

1. $663.821$
2. $664$
3. $663.8$
4. $663.82$

Solution:

$\text{Hint: The result should have as many digits after the decimal point as there are in the number with the least digits after the decimal point.}$ $\text{Step: Find the sum of the numbers.}$ $\text{The sum of the numbers can be calculated as 663.821 arithmetically.}$ $\text{The number with the least decimal places is 227.2 is correct to only one decimal place.}$ $\text{The final result should therefore be rounded off to one decimal place i.e., 663.8.}$ $\text{Therefore, the sum of the numbers is 663.8.}$ $\text{Hence, option (3) is the correct answer.}$

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
}