Direction: For the next items, consider the following data with regard to different types (1, 2, 3, 4, 5) of multivitamin tablets produced in a company (in lakhs): Year 1 2 3 4 5 2000 160 80 70 90 75 2001 200 150 85 160 100 2002 135 35 44 95 85 2003 240 95 120 80 120 2004 180 110 85 95 115 2005 210 150 100 92 110
In which year, the production of Type 1 is more than the sum of the production of Type 3 and Type 4?
2003
Analyzing Multivitamin Production Data
The question asks us to identify the year in which the production of Type 1 multivitamin tablets is greater than the combined production of Type 3 and Type 4 tablets. We are given a table showing the production figures for five types of tablets over six years.
Let's look at the provided data table again:
| Year | 1 | 2 | 3 | 4 | 5 |
| 2000 | 160 | 80 | 70 | 90 | 75 |
| 2001 | 200 | 150 | 85 | 160 | 100 |
| 2002 | 135 | 35 | 44 | 95 | 85 |
| 2003 | 240 | 95 | 120 | 80 | 120 |
| 2004 | 180 | 110 | 85 | 95 | 115 |
| 2005 | 210 | 150 | 100 | 92 | 110 |
Checking the Production Condition Year by Year
The condition we need to check for each year is:
\(\text{Production of Type 1} > (\text{Production of Type 3} + \text{Production of Type 4})\)
Let's evaluate this condition for each year listed in the table:
- Year 2000: Production of Type 1 = 160 Production of Type 3 + Type 4 = 70 + 90 = 160 Is \(160 > 160\)? No.
- Year 2001: Production of Type 1 = 200 Production of Type 3 + Type 4 = 85 + 160 = 245 Is \(200 > 245\)? No.
- Year 2002: Production of Type 1 = 135 Production of Type 3 + Type 4 = 44 + 95 = 139 Is \(135 > 139\)? No.
- Year 2003: Production of Type 1 = 240 Production of Type 3 + Type 4 = 120 + 80 = 200 Is \(240 > 200\)? Yes.
- Year 2004: Production of Type 1 = 180 Production of Type 3 + Type 4 = 85 + 95 = 180 Is \(180 > 180\)? No.
- Year 2005: Production of Type 1 = 210 Production of Type 3 + Type 4 = 100 + 92 = 192 Is \(210 > 192\)? Yes.
From the calculations above, the production of Type 1 is more than the sum of the production of Type 3 and Type 4 in the years 2003 and 2005.
Selecting from the Options
The options provided are 2001, 2002, 2003, and 2004. Out of these options, only 2003 is a year where the condition (Type 1 production > Type 3 + Type 4 production) is met.
Therefore, the year in question is 2003.
Revision Table - Multivitamin Production Data
| Year | Type 1 Production | Type 3 Production | Type 4 Production | Sum (Type 3 + Type 4) | Condition (Type 1 > Sum) Met? |
|---|---|---|---|---|---|
| 2000 | 160 | 70 | 90 | 160 | No (\(160 \ngtr 160\)) |
| 2001 | 200 | 85 | 160 | 245 | No (\(200 \ngtr 245\)) |
| 2002 | 135 | 44 | 95 | 139 | No (\(135 \ngtr 139\)) |
| 2003 | 240 | 120 | 80 | 200 | Yes (\(240 > 200\)) |
| 2004 | 180 | 85 | 95 | 180 | No (\(180 \ngtr 180\)) |
| 2005 | 210 | 100 | 92 | 192 | Yes (\(210 > 192\)) |
Additional Information - Data Interpretation Skills
Data interpretation questions require careful reading of the question and accurate extraction of information from tables, charts, or graphs. For questions involving tables like this, follow these steps:
- Understand the labels: Know what each row and column represents (Years, Tablet Types, Production in lakhs).
- Identify the specific data needed: The question specifies Type 1, Type 3, and Type 4 production for different years.
- Translate the condition into a mathematical expression: "Type 1 is more than the sum of Type 3 and Type 4" translates to \(\text{Type 1} > (\text{Type 3} + \text{Type 4})\).
- Perform calculations carefully: Calculate the required sums and compare them.
- Check against options: Match your findings with the given choices.
Practicing different types of data interpretation questions helps improve speed and accuracy in competitive exams.
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