The given table shows the percentage of marks obtained by three students in three different subjects in an institute. (maximum marks are given in brackets)

Subject → Student ¯	History (175)	Geography (200)	Botany (125)
Ram	54	87	71
Mohan	51	79	78
Shyam	75	49	76

If in order to pass the exam, the minimum of 105 marks are neededs in History, how many students pass in the exam?

The correct option is 1.

Let's find the number of students who pass the exam by calculating the marks obtained in History by each student and comparing them with the passing mark requirement of 105.

The maximum marks for History are 175. The table gives the percentage of marks obtained by each student. We can calculate the absolute marks obtained by each student using the formula:

$\text{Marks Obtained}=\frac{\text{Percentage Obtained}}{100}\times \text{Maximum Marks}$

1. Ram:
Ram obtained 54% in History.
$\text{Ram's History Marks}=\frac{54}{100}\times 175=0.54\times 175=94.5$
Since 94.5 is less than the passing marks of 105, Ram did not pass.

2. Mohan:
Mohan obtained 51% in History.
$\text{Mohan's History Marks}=\frac{51}{100}\times 175=0.51\times 175=89.25$
Since 89.25 is less than the passing marks of 105, Mohan did not pass.

3. Shyam:
Shyam obtained 75% in History.
$\text{Shyam's History Marks}=\frac{75}{100}\times 175=0.75\times 175=131.25$
Since 131.25 is greater than or equal to the passing marks of 105, Shyam passed.

Therefore, only 1 student (Shyam) passed in the exam.