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:

Updated On: Mar 28, 2025
  • 9th
  • 12th
  • 18th
  • 10th
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The Correct Option is B

Solution and Explanation

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.

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