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The figure shows a rectangle divided into 9 squares. The squares have integral sides and adjacent sides of the rectangle are co-prime. Find the perimeter of the rectangle?
  • a)
    260 unit
  • b)
    178 unit
  • c)
    234 unit
  • d)
    Indeterminable
Correct answer is option 'A'. Can you explain this answer?
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The figure shows a rectangle divided into 9 squares. The squares have...
Let the sides of the squares be a, b, ..., i (in ascending order of size - 'a' is not marked in the diagram). We have a + b = c (1), a + c = d (2), c + d = e(3), d + e = f(4), b + c + e = g(5),
b + g = h(6), a + d + f i(7), f+ i = g + h (8). Using (1) - (7) we can solve in terms of a, h, then (8) gives 5a = 2b, so a = 2, b = 5 (must have no common factor). Hence f = 25, h 33, i = 36, sides are 61, 69. So the perimeter will be 2 (61 + 69) = 260 unit.
Hence the correct option is (a)
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InstructionsThe schematic diagram below shows 12 rectangular houses in a housing complex. Housenumbers 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 showstwo roads, one passing in front of the houses in Row-2 and another between the twoblocks.Some of the houses are occupied. The remaining ones are vacant and are the only onesavailable for sale.The road adjacency value of a house is the number of its sides adjacent to a road. Forexample, 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 occupiedhouses 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 parkingspace, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house iscalculated as (base pric e) + 5 × (road adjacency value) + 3 × (neighbour count).The following information is also known. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimumquoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Row-1 has two occupied houses, one in each block. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least oneoccupied house. There is only one house with parking space in Block YY.How many houses are vacant in Block XX? Correct answer is '3'. Can you explain this answer?

The schematic diagram below shows 12 rectangular houses in a housing complex. Housenumbers 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 showstwo roads, one passing in front of the houses in Row-2 and another between the twoblocks.Some of the houses are occupied. The remaining ones are vacant and are the only onesavailable for sale.The road adjacency value of a house is the number of its sides adjacent to a road. Forexample, 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 occupiedhouses 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 parkingspace, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house iscalculated as (base pric e) + 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 minimumquoted 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 oneoccupied house.4. There is only one house with parking space in Block YY.How many houses are vacant in Block XX? Correct answer is '3'. Can you explain this answer?

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The figure shows a rectangle divided into 9 squares. The squares have integral sides and adjacent sides of the rectangle are co-prime. Find the perimeter of the rectangle?a)260 unitb)178 unitc)234 unitd)IndeterminableCorrect answer is option 'A'. Can you explain this answer?
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