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In a currently conducted National Entrance Test, Boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates. Which one of the following is the correct logical inference based on the information provided in the above passage ? 
  • a)
    Equal number of boys and girls appeared for the test
  • b)
    The number of boys who qualified the test is less than the number of girls who qualified.
  • c)
    The number of boys who appeared for the test is less than the number of girls who appeared.
  • d)
    Equal number of boys and girls qualified.
Correct answer is option 'B'. Can you explain this answer?
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In a currently conducted National Entrance Test, Boys constituted 65% ...
Given Information:
- Boys constituted 65% of those who appeared for the test.
- Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Logical Inference:
The correct logical inference based on the information provided in the passage is that the number of boys who qualified the test is less than the number of girls who qualified.

Explanation:
To understand why this is the correct inference, let's break down the given information and analyze it step by step.

Step 1: Boys constituted 65% of those who appeared for the test.
This means that out of the total candidates who appeared for the test, 65% were boys. Let's assume the total number of candidates who appeared for the test as 'T' and the number of boys who appeared as 'B'. Therefore, we can write this as:
B = 0.65T

Step 2: Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.
This means that the remaining candidates (35%) who appeared for the test were girls. Let's assume the number of girls who appeared as 'G'. Therefore, we can write this as:
G = 0.35T

Now, let's consider the qualified candidates. According to the given information, girls accounted for 60% of the qualified candidates. Let's assume the number of qualified girls as 'QG'. Therefore, we can write this as:
QG = 0.6 * (qualified candidates)

Now, let's consider the boys. Since girls accounted for 60% of the qualified candidates, boys must account for the remaining 40% of the qualified candidates. Let's assume the number of qualified boys as 'QB'. Therefore, we can write this as:
QB = 0.4 * (qualified candidates)

Step 3: Comparison between the number of qualified boys and girls.
To compare the number of qualified boys and girls, we need to compare QB and QG. From the above equations, we can see that QB = 0.4 * (qualified candidates) and QG = 0.6 * (qualified candidates).

Since 0.4 is less than 0.6, we can conclude that the number of boys who qualified the test (QB) is less than the number of girls who qualified (QG). Therefore, the correct logical inference is that the number of boys who qualified the test is less than the number of girls who qualified.

Answer: Option B - The number of boys who qualified the test is less than the number of girls who qualified.
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In a currently conducted National Entrance Test, Boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates. Which one of the following is the correct logical inference based on the information provided in the above passage ?a)Equal number of boys and girls appeared for the testb)The number of boys who qualified the test is less than the number of girls who qualified.c)The number of boys who appeared for the test is less than the number of girls who appeared.d)Equal number of boys and girls qualified.Correct answer is option 'B'. Can you explain this answer?
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