CAT 2023 · Slot 1 — Data Interpretation & Logical Reasoning

Questions 1–5

Read the information given below and answer the question that follows.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

Questions 6–10

12 houses, columns A-F, rows 1-2. Block XX=cols A,B,C; Block YY=cols D,E,F. Roads: horizontal in front of Row-2, vertical between the blocks (between C and D). Road-adjacency: Row-2 +1 (bottom road), cols C&D +1 (middle road). Neighbour count = sides adjacent to OCCUPIED houses in the SAME block. Base price (vacant) = 10 (no parking) or 12 (parking). Quoted price = base + 5*(road adj) + 3*(neighbour count). Clues: max XX quoted=24; min YY quoted=15 (one such in Col-E); Row-1 has 2 occupied (one per block); both Col-E houses vacant; Col-D & Col-F each >=1 occupied; only one YY house has parking.

Questions 11–15

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.

*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.

Questions 16–20

Management school, 4 departments: F&A(9), M&S(7), O&Q(5), B&H(3), total 24 faculty. Four Dean candidates: Pakrasi, Qureshi, Ramaswamy, Samuel; only one candidate from O&Q. Every faculty (incl. candidates) voted; in each dept all NON-candidate faculty voted for the SAME candidate. Rules: <=2 candidates per dept; no self-vote; cannot vote for a candidate from own dept. Results: Pakrasi 3, Qureshi 14, Ramaswamy 6, Samuel 1. Candidates' votes: Pakrasi->Ramaswamy, Qureshi->Samuel, Ramaswamy->Qureshi, Samuel->Pakrasi.