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
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 |
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:
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.
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.
| 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 (\(210 > 192\)) |
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:
Practicing different types of data interpretation questions helps improve speed and accuracy in competitive exams.
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