Question 91
Logical Reasoning
Data Sufficiency / Interpretation
Easy
Study the following table carefully , answer the following question. If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:
(A) 30-40
(B) 20-30
(C) Below 20
(D) Cannot be determined
View Dynamic Solution & Explanation ▼
Correct Solution: Option B
Step-by-step Solution:
Logical Deduction
Analyze the Chemistry Data from the Table:
We need to find the mark range that corresponds to at least 23 eligible students. Let's look at the key data points for Chemistry:
- Number of students with marks "30 and above" = 21.
- Number of students with marks "20 and above" = 66.
Apply the Eligibility Condition:
The condition is that "at least 23 students were eligible."
- If the minimum qualifying mark was 30, only 21 students would be eligible. This does not meet the "at least 23" requirement.
- To include at least 23 students, the minimum qualifying mark must be set lower than 30.
Determine the Mark Range:
When the cut-off is lowered from 30 to 20, the number of eligible students jumps from 21 to 66. Since 23 is between 21 and 66, the actual cut-off mark must lie somewhere in the range between 20 and 30.
Final Answer: The minimum qualifying marks would lie in the range of 20 to 30.