CAT 2018 Slot 2 DILR Set 1 Q1–Q4

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 2, with 4 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed.

Accreditation is awarded based on the following scheme:

[Figure in the original paper]

Eight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):

[Figure in the original paper]

It is further known that in terms of overall scores:
1. High Q is better than Best Ed.
2. Best Ed is better than Cosmopolitan.
3. Education Aid is better than A-one.

Question 1

What is the weight of the faculty quality parameter?
  1. A
    0.2
  2. B
    0.1
  3. C
    0.4
  4. D
    0.3

Answer: (B) 0.1 Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 2

How many colleges receive the accreditation of AAA? [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 3 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 3

What is the highest overall score among the eight colleges? [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 48 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 4

How many colleges have overall scores between 31 and 40, both inclusive?
  1. A
    2
  2. B
    1
  3. C
    3
  4. D
    0

Answer: (D) 0 Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Weighted or total score across several parameters with qualification thresholds.

More Quant-based Puzzles questions from CAT

All 127 Quant-based Puzzles questions asked since 2017.