Question

Which of the following statement/s is/are True ?
Statement I- State B represents approximate 66 percent in total Ph.D students from both the state.
Statement II- The undergraduate pursuing students from state A is approximate 18 percent to total youth of state B.
Statement III- The youth pursuing Diploma from state B is almost double to the youth pursuing diploma from state A.

• A. Statement (I), Statement (II) and Statement (III) are true.
• B. Only Statement (I) is true.
• C. Statement (I) and Statement (II) are true.
• D. Only Statement (II) is true.

Hint:

Since Statement III is clearly false (10380 is not double of 8920), we can eliminate Options A instantly, which narrows our choices to B, C, and D, simplifying the verification process.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
We evaluate multiple statements by calculating the absolute values for each specified category and verifying the proposed percentages or ratios.
Key Formula or Approach:
- Total Population A = 55750, Total Population B = 86500.
- Category value = \(\text{Percentage} \times \text{Total Population}\).

Step 2: Detailed Explanation:
Let us analyze each statement individually:
- Evaluating Statement I:
- Ph.D in State A = \(8\%\) of 55750 = 4460.
- Ph.D in State B = \(10\%\) of 86500 = 8650.
- Total Ph.D students = \(4460 + 8650 = 13110\).
- Percentage share of State B:
\[ \text{Percentage}_B = \frac{8650}{13110} \times 100 \approx 65.98\% \approx 66\% \]
Therefore, Statement I is true.
- Evaluating Statement II:
- Undergraduates in State A = \(28\%\) of 55750 = 15610.
- Total youth population of State B = 86500.
- Required percentage:
\[ \text{Percentage} = \frac{15610}{86500} \times 100 \approx 18.04\% \approx 18\% \]
Therefore, Statement II is true.
- Evaluating Statement III:
- Diploma in State B = 10380, Diploma in State A = 8920.
- Since 10380 is not double of 8920, Statement III is false.
Thus, Statement I and Statement II are true.

Step 3: Final Answer:
The correct option is (C) Statement (I) and Statement (II) are true.