Finding Minimum Difference in Tablet Production

The question asks us to identify the pair of years from the given options where the difference in the total number of multivitamin tablets produced is the minimum. To solve this, we first need to calculate the total number of tablets produced in each year from 2000 to 2005 by summing up the production of all five types of tablets for that year.

Here is the production data provided:

Calculating Total Tablet Production Per Year

We sum the production figures across all types for each year:

• Year 2000: \(160 + 80 + 70 + 90 + 75 = 475\) lakhs
• Year 2001: \(200 + 150 + 85 + 160 + 100 = 695\) lakhs
• Year 2002: \(135 + 35 + 44 + 95 + 85 = 394\) lakhs
• Year 2003: \(240 + 95 + 120 + 80 + 120 = 655\) lakhs
• Year 2004: \(180 + 110 + 85 + 95 + 115 = 585\) lakhs
• Year 2005: \(210 + 150 + 100 + 92 + 110 = 662\) lakhs

Let's summarize the total production per year:

Calculating Differences for Given Pairs of Years

Now, we calculate the difference in total production for each pair of years provided in the options. We are looking for the absolute difference.

• Option 1: (2003, 2005)
  Difference = \(| \text{Total in 2003} - \text{Total in 2005} | = |655 - 662| = |-7| = 7\) lakhs
• Option 2: (2001, 2005)
  Difference = \(| \text{Total in 2001} - \text{Total in 2005} | = |695 - 662| = |33| = 33\) lakhs
• Option 3: (2003, 2004)
  Difference = \(| \text{Total in 2003} - \text{Total in 2004} | = |655 - 585| = |70| = 70\) lakhs
• Option 4: (2000, 2002)
  Difference = \(| \text{Total in 2000} - \text{Total in 2002} | = |475 - 394| = |81| = 81\) lakhs

Identifying the Minimum Difference

Comparing the differences calculated for each pair:

• (2003, 2005): 7 lakhs
• (2001, 2005): 33 lakhs
• (2003, 2004): 70 lakhs
• (2000, 2002): 81 lakhs

The minimum difference in the total number of tablets produced is 7 lakhs, which occurred between the years 2003 and 2005.

Conclusion

The pair of years with the minimum difference in the total number of tablets produced is (2003, 2005).

Revision Table: Key Steps

Additional Information: Data Interpretation

Data interpretation questions often require extracting specific information from tables or charts and performing calculations like sums, averages, percentages, ratios, or differences. It is important to read the question carefully to understand exactly what is being asked. When dealing with differences, pay attention to whether the absolute difference or the difference with a specific sign is needed, though in this case, "difference" usually implies the absolute difference in production volume.