CAT 2023 Slot 1 DILR Set 2 Q6–Q10

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2023 Slot 1, with 5 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.

The summary statistics of these ratings for the five workers is given below.
Ullas Vasu Waman Xavier Yusuf
Mean rating 2.2 3.8 3.4 3.6 2.6
Median rating 2 4 4 4 3
Modal rating 2 4 5 5 1 and 4
Range of rating* 3 3 4 4 3

*Range of rating is the difference between the highest and the lowest rating awarded to a worker.

The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.

(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

Question 6

How many individual ratings cannot be determined from the above information?

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

Answer: 0 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 7

To how many workers did R2 give a rating of 4?

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

Answer: 0 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 8

What rating did R1 give to Xavier?

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 9

What is the median of the ratings given by R3 to the five workers?

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

Answer: 4 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 10

Which among the following restaurants gave its median rating to exactly one of the workers?
  1. A
    R5
  2. B
    R2
  3. C
    R3
  4. D
    R4

Answer: (D) R4 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 Reconstruct individual values from mean, median, mode, range or min/max.

More Quant-based Puzzles questions from CAT

All 127 Quant-based Puzzles questions asked since 2017.