Question:medium

A school has 2000 students, of which 40% of the students are in higher secondary. Out of the students in higher secondary 28% are girls of which 50% of them passed in an examination. How many boys from higher secondary have passed the examination?
Statement 1: The ratio between number of girls passed and number of boys passed in the school is 3:7
Statement 2: The overall pass percentage in the higher secondary is 40%

Updated On: Jan 13, 2026
  • Statement (1) alone is sufficient to answer the question
  • Statement (2) alone is sufficient to answer the question
  • Both the statements together are needed to answer the question
  • Either statement (1) alone or statement (2) alone is sufficient to answer the question
  • Neither statement (1) nor statement (2) suffices to answer the question
Show Solution

The Correct Option is B

Solution and Explanation

The correct answer is option (B):
Statement (2) alone is sufficient to answer the question

Let's analyze the problem step by step to determine which statement provides enough information.

First, let's establish what we know from the problem description:

* Total students = 2000
* Higher Secondary students = 40% of 2000 = 800
* Girls in Higher Secondary = 28% of 800 = 224
* Girls passed = 50% of 224 = 112

Now, the question asks for the number of boys from higher secondary who passed the examination. To solve this, we need to know the total number of students who passed in higher secondary and then subtract the number of girls who passed.

Let's examine each statement:

Statement 1: The ratio between the number of girls passed and the number of boys passed in the school is 3:7.
This statement provides information about the overall school pass ratio. However, it doesn't give us the total number of boys passed in higher secondary, nor does it tell us how many students have passed in the examination in higher secondary. We only know how many girls passed in higher secondary. Therefore, this statement alone is not sufficient.

Statement 2: The overall pass percentage in the higher secondary is 40%.
This is important as it gives us a percentage we can use to calculate how many students have passed.
Using this statement:

* Total students in Higher Secondary = 800
* Overall pass percentage in Higher Secondary = 40%
* Total number of students passed in Higher Secondary = 40% of 800 = 320
* We know girls who passed in Higher Secondary = 112
* Boys who passed in Higher Secondary = Total passed - Girls passed = 320 - 112 = 208

Therefore, statement 2 alone is sufficient to answer the question.

Final Answer: Statement (2) alone is sufficient to answer the question.
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