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Houses Map CAT 2023 DILR Slot 1

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 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 Row-2 and another between the two

blocks

 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.

Question 1 of 5

Q1CAT 2023 · Slot 1 · TITA✓ Answer verified
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 Row-2 and another between the two blocks 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.
Figure for this question

Question 6- How many houses are vacant in Block XX?

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