Question:

In a class of 120 students, how many girls got distinction? I) 20 boys in the class got distinction II) 25% of the students in the class got distinction

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Total = Part A + Part B. To find one part, you need the other part AND the total.
  • Statement I alone is sufficient to answer the question
  • Statement II alone is sufficient to answer the question
  • Both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient
  • Both the statements I and II together are not sufficient to answer the question and additional data is required
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The Correct Option is C

Solution and Explanation

Step 1: Concept
Total Distinctions = (Boys with Distinction) + (Girls with Distinction).

Step 2: Meaning

We know the total students are 120.

Step 3: Analysis

Statement II tells us Total Distinctions = $25\% \text{ of } 120 = 30$. Statement I tells us Boys with Distinction = 20. By combining them, Girls with Distinction = $30 - 20 = 10$.

Step 4: Conclusion

Both are necessary to find the specific gender breakdown. Final Answer: (C)
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