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Question 1025 Data Interpretation and Logical Reasoning 2023 Medium NAT +3.00 marks
The schematic diagram below shows 12 rectangular houses in a housing complex. House 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. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row2 and another between the two blocks. [Diagram, transcribed: Block XX = Columns A, B, C; Block YY = Columns D, E, F. Row-1 (back): A1 B1 C1 | D1 E1 F1. Row-2 (front): A2 B2 C2 | D2 E2 F2. A vertical road runs between Column-C and Column-D (separating the blocks); a horizontal road runs along the front of all Row-2 houses.] Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale. The road adjacency value of a house is the number of its sides adjacent to a road. For 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 occupied 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 parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count). The following information is also known. 1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum 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 one occupied house. 4. There is only one house with parking space in Block YY.
How many houses are vacant in Block XX? [Figure: see page 10 of source PDF]