Question

If the youth population of state A and State B is considered 95000 and 125000 respectively, then what will be the absolute difference among State A and State B for Ph.D pursuing students?

• A. 4190
• B. 1460
• C. 4900
• D. 3535

Hint:

To make the multiplication faster:
- \(95000 \times 8\% = 950 \times 8 = 7600\).
- \(125000 \times 10\% = 12500\).
- Subtracting them: \(12500 - 7600 = 4900\).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The absolute difference is the non-negative difference between two values.
Here, we must compute the new absolute numbers of Ph.D students using the revised hypothetical populations for both states and then calculate the difference.
Key Formula or Approach:
- Revised Population A = 95000, Revised Population B = 125000.
- Absolute Difference = \(| \text{Ph.D}_B - \text{Ph.D}_A |\).

Step 2: Detailed Explanation:
Let us compute the number of Ph.D students with the new populations:
- For State A:
- Percentage of Ph.D students = \(8\%\)
- New population = 95000
\[ \text{Ph.D}_A = 95000 \times 0.08 = 7600 \]
- For State B:
- Percentage of Ph.D students = \(10\%\)
- New population = 125000
\[ \text{Ph.D}_B = 125000 \times 0.10 = 12500 \]
- Calculating the Absolute Difference:
\[ \text{Absolute Difference} = | 12500 - 7600 | = 4900 \]

Step 3: Final Answer:
The absolute difference is 4900 (Option C).