Import Question JSON

Current Question (ID: 8775)

Question:

$\text{If 97.52 is divided by 2.54, the correct result in terms of significant figures is:}$

Options:

1. $38.4$
2. $38.3937$
3. $38.394$
4. $38.39$

Solution:

$\text{Hint: Significant figures in 2.54 is 3.}$ $\text{Step: Find the number of significant figures in the given term.}$ $\text{In multiplication or division, the final result should retain as many significant figures as are there in the original number with the least significant figures.}$ $\text{Analysis of given values:}$ $\text{97.52 has 4 significant figures}$ $\text{2.54 has 3 significant figures}$ $\text{No. of significant figures in the result should be 3.}$ $\text{The result = } \frac{97.52}{2.54} = 38.3937... = 38.4 \text{ (rounded to 3 significant figures)}$ $\text{Hence, option (1) is the correct answer.}$

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
}