Question

In a class of 40 students, Anjali’s rank is thrice that of Anita. There are 4 students who have ranks worse than that of Anjali. Anita’s rank in the class is:

• A. 9th
• B. 12th
• C. 18th
• D. 10th

Answer 1

The Correct Option is B

Let Anjali's rank be \(A\) and Anita's rank be \(N\).

We are given that Anjali's rank is thrice that of Anita, so \(A = 3N\).

We are also given that there are 4 students with ranks worse than that of Anjali. This means Anjali's rank is \(40 - 4 = 36\).

So, \(A = 36\).

Since \(A = 3N\), we have \(36 = 3N\), which implies \(N = \frac{36}{3} = 12\).

Therefore, Anita's rank is 12th.

Answer 2

Given: Total students = 40, Anjali’s rank = thrice Anita’s rank, 4 students have ranks worse than Anjali. 

Let Anita's rank be \(x\).

Then, Anjali's rank is \(3x\).

Because 4 students have ranks worse than Anjali:

\(3x + 4 = 40\)

Solving for \(x\):

\(3x = 40 - 4\)

\(3x = 36\)

\(x = \frac{36}{3}\)

\(x = 12\)

Therefore, Anita’s rank in the class is 12th.