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01. The cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs 4.50 per metre is Rs 810. The breadth of the room is
A. 7 m B. 7.5 m
C. 8 m D. 8.5 m

Answer and Explanation

Answer: 7.5 m

Explanation:
Length of the carpet = (total cost)/(Rate /m) = (8100)/(46) = 180 m
Area of the room = Area of the carpet = (180 * 75/100) = 135 sq m
Hence, Breadth of the room = (area)/(length) = 135/18 = 7.5 m

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02. A rectangular carpet has an area of 120 sq metres and a perimeter of 46 metres. The length of its diagonal is
A. 15 m B. 18 m
C. 17 m D. 20 m

Answer and Explanation

Answer: 17 m

Explanation:
2 (l + b) = 46 or (l + b) = 23
Also, lb = 120
Hence, Diagonal = √(l2 + b2)= √(l2 + b2 – 2lb) = √(232 – 240) = √289 = 17 m

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03. The ratio of the areas of a square and rhombus whose base is same is:
A. 1:2 B. 2:1
C. 1:1 D. 3:1

Answer and Explanation

Answer: 1:1

Explanation:
The square and the rhombus are equal in area if they have a common base.

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04. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
A. 40 B. 50
C. 120 D. None of these

Answer and Explanation

Answer: None of these

Explanation:

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05. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
A. Rs. 456 B. Rs. 458
C. Rs. 558 D. Rs. 568

Answer and Explanation

Answer: Rs. 558

Explanation:

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