Rohit ranks sixteenth from the top and forty ninth from the bottom in an examination. Nine students did not appear in the examination. How many students were there in a class?

Options

A. 73
B. 74
C. 75
D. can't be found

Explanation

To find the total number of students in the class, we can follow these steps:

### Step 1: Understand Rohit's Rankings
Rohit ranks 16th from the top and 49th from the bottom.

### Step 2: Calculate the Total Number of Students Present
To find the total number of students who appeared for the examination, we can use the formula:
\[ \text{Total Present} = \text{Rank from Top} + \text{Rank from Bottom} - 1 \]

Substituting Rohit's ranks:
\[ \text{Total Present} = 16 + 49 - 1 \]

### Step 3: Perform the Calculation
Now, we can calculate:
\[ \text{Total Present} = 16 + 49 - 1 = 64 \]

### Step 4: Account for Absent Students
We know that 9 students did not appear for the examination. Therefore, to find the total number of students in the class, we add the number of absent students to the number of students who were present:
\[ \text{Total Students} = \text{Total Present} + \text{Absent Students} \]
\[ \text{Total Students} = 64 + 9 \]

### Step 5: Perform the Final Calculation
Now, we can calculate:
\[ \text{Total Students} = 64 + 9 = 73 \]

### Conclusion
Thus, the total number of students in the class is **73**.

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