InnovateX Employee Groups and Ratings

CAT 2025 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Data Interpretation

This is a hard Data Interpretation & Logical Reasoning question set from the CAT 2025 Slot 1 paper. It tests Data Interpretation. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

Passage / data set

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

Question 1 of 5

What was Eklavya's score at the end of Quarter 2?

Answer

5

Explanation

By analyzing group compositions and rating constraints quarter by quarter, Eklavya starts in Novice in Q1 and receives high ratings to get promoted, yielding a cumulative score of 5 at the end of Quarter 2.

Question 2 of 5

How many employees changed groups more than once up to the beginning of Quarter 4?

Answer

1

Explanation

Tracking movement across quarters reveals that exactly 1 employee was demoted and then re-promoted (or vice versa) more than once before Quarter 4.

Question 3 of 5

What was Bunty's score at the end of Quarter 3?

Answer

4

Explanation

Bunty received a rating of 1 in Q2 under Lalu, and evaluating his Q1 and Q3 ratings under the constraints gives a total cumulative score of 4 at the end of Quarter 3.

Question 4 of 5

For how many employees can the scores at the end of Quarter 3 be determined with certainty?

Answer

6

Explanation

All 6 employees' cumulative scores at the end of Quarter 3 are uniquely determined by solving the system of ratings and promotion/demotion conditions.

Question 5 of 5

Which of the following statements is/are NECESSARILY true? I. Asha received a rating of 2 in Quarter 1. II. Asha received a rating of 1 in Quarter 2.

  1. A.

    Only II

  2. B.

    Only I

  3. C.

    Both I and II

  4. D.

    Neither I nor II

Answer

C

Explanation

Deductions show that Asha received 2 in Quarter 1 and 1 in Quarter 2. Hence both statements I and II are necessarily true.

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