# CAT 2023 Question Paper Slot 1

Instructions

The schematic diagram below shows 12 rectangular houses in a housing complex. HouseÂ numbers are mentioned in the rectangles representing the houses. The houses are located in six columns - Column-A through Column-F, and two rows - Row-1 and Row-2.Â The houses are divided into two blocks - Block XX and Block YY. The diagram also showsÂ two roads, one passing in front of the houses in Row-2 and another between the twoÂ blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only onesÂ available for sale.

The road adjacency value of a house is the number of its sides adjacent to a road. ForÂ example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupiedÂ houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.

The base price of a vacant house is Rs. 10 lakhs if the house does not have a parkingÂ space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house isÂ calculated as (base price) + 5 Ă (road adjacency value) + 3 Ă (neighbour count).Â The following information is also known.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimumÂ quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least oneÂ occupied house.
4. There is only one house with parking space in Block YY.

Question 31

Question 32

Question 33

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Question 34

## Which house in Block YY has parking space?

Instructions

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 3.4Â 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 ratingsÂ awarded to a worker.

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

(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, andÂ R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

Question 35

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Question 36

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Question 37

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Question 38

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Question 39

## Which among the following restaurants gave its median rating to exactly one of the workers?

Instructions

Faculty members in a management school can belong to one of four departments - Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of theÂ school's faculty who were candidates for the post of the Dean of the school. Only one of theÂ candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department,Â all the faculty members who were not candidates voted for the same candidate. The rules forÂ the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi receivedÂ 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. PakrasiÂ voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof.Â Qureshi and Prof. Samuel for Prof. Pakrasi.

Question 40