CAT 2023 Slot 1 — DILR Question 18
Answer the following questions based on the information given below:
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.
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* Range of ratings is defined as the difference between the maximum and minimum ratings 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.
What rating did R1 give to Xavier?
Answer & solution
Answer: 3
Easy
A direct lookup from the solved grid — but the value of R1→Xavier is exactly the cell that closed the puzzle, so it's worth seeing why it is forced.
Xavier's column: R2 , R3 (given), R4 (his range- minimum, forced onto R4). Xavier's column sum .
R1's row-sum is . By the time we reach R1, its other four cells are known: Ullas , Vasu , Waman , Yusuf , totalling .
Therefore R1's rating to Xavier .