Consider the following Employment Trend by region.
Which of the following statements are true while considering the above table? A. New number of jobs for South-West is 21,60,000. B. South has now the third most jobs. C. MATH_663a52f515d24fe8a445136be3189f16 is the change of job in all regions. D. South-West region saw the second largest variation in jobs. Choose the correct answer from the options given below:
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Keep track of units carefully! Variations are given "in thousands" while original counts are given "in Lakhs". Converting everything to standard numerals at the start prevents errors.
• Step 1: Understanding the Question: This question requires a comprehensive interpretation of statistical changes and previous totals in tabular form. We need to evaluate the accuracy of statements A, B, C, and D based on calculations of job growth or decline in each region.
• Step 2: Key Formula or Approach:
1. Variations are given in thousands (e.g., \(+33\) means \(+33,000\)).
2. Previous totals are given in Lakhs (e.g., \(18 \text{ Lakhs} = 1,800,000\)).
3. New jobs = \(\text{Previous jobs} + \text{Variation}\).
4. Variation magnitude is evaluated using absolute values.
• Step 3: Detailed Explanation:
Let us calculate the new job count for all regions:
- North:
Previous = 18 Lakhs = 1,800,000.
Variation = \(+33,000\).
New Total = \(1,800,000 + 33,000 = 1,833,000\).
- North-East:
Previous = 14 Lakhs = 1,400,000.
Variation = \(+70,000\).
New Total = \(1,400,000 + 70,000 = 1,470,000\).
- North-West:
Previous = 22 Lakhs = 2,200,000.
Variation = \(+172,000\).
New Total = \(2,200,000 + 172,000 = 2,372,000\).
- South:
Previous = 24 Lakhs = 2,400,000.
Variation = \(-360,000\).
New Total = \(2,400,000 - 360,000 = 2,040,000\).
- South-East:
Previous = 16 Lakhs = 1,600,000.
Variation = \(-270,000\).
New Total = \(1,600,000 - 270,000 = 1,330,000\).
- South-West:
Previous = 23 Lakhs = 2,300,000.
Variation = \(-140,000\).
New Total = \(2,300,000 - 140,000 = 2,160,000\).
Let us now analyze each statement:
- Statement A: "New number of jobs for South-West is 21,60,000."
We calculated the new total for South-West as 2,160,000. This is exactly correct. (True)
- Statement B: "South has now the third most jobs."
Let us list the new totals in descending order:
1. North-West: 2,372,000
2. South-West: 2,160,000
3. South: 2,040,000
4. North: 1,833,000
5. North-East: 1,470,000
6. South-East: 1,330,000
Indeed, South (2,040,000) is in third place. This statement is correct. (True)
- Statement C: "\(-505000\) is the change of job in all regions."
Let us sum up all job variations:
\[ \text{Total change} = +33 + 70 + 172 - 360 - 270 - 140 \text{ (in thousands)} \]
\[ \text{Total change} = 275 - 770 = -495 \text{ thousand} = -495,000 \]
Since the actual change is \(-495,000\), this statement is incorrect. (False)
- Statement D: "South-West region saw the second largest variation in jobs."
Let us write down the absolute variations in descending order:
1. South: 360,000
2. South-East: 270,000
3. North-West: 172,000
4. South-West: 140,000
The second largest variation was in South-East (270,000), not South-West. This statement is incorrect. (False)
Therefore, only statements A and B are true.
• Step 4: Final Answer: Statements A and B are true, which corresponds to option (B).
