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Question 11.
  1. A room is 5.5 m long, 4 m broad and 4.5 m high. The cost of papering its walls and ceiling at 20 p get sq. metre is

  1.    Rs 20
  2.    Rs 20.50
  3.    Rs 21
  4.    Rs 21.50
 Discuss Question
Answer: Option D. -> Rs 21.50
To find the cost of papering the walls and ceiling of the room, we need to find the total surface area of the room and multiply it by the cost of papering per square metre.
Let's first find the surface area of the walls. The room has four walls, each with a length of 5.5 m and a height of 4.5 m. Therefore, the surface area of the four walls is:
4 × 5.5 m × 4.5 m = 99 m²
Now let's find the surface area of the ceiling. The ceiling has a length of 5.5 m and a width of 4 m. Therefore, the surface area of the ceiling is:
5.5 m × 4 m = 22 m²
The total surface area of the room is the sum of the surface area of the walls and the ceiling:
Total surface area = 99 m² + 22 m² = 121 m²
Now we can find the cost of papering the walls and ceiling by multiplying the total surface area by the cost per square metre:
Cost = 121 m² × 20 p/m² = Rs. 24.20
However, we need to be careful here. The question is asking for the cost of papering at 20 p per square metre, not Rs. 0.20 per square metre. Therefore, we need to convert the cost to rupees:
Rs. 24.20 = Rs. 0.2420 per square metreRs. 0.2420 per square metre × 100 = Rs. 24.20 per 100 square metresRs. 24.20 per 100 square metres ÷ 10 = Rs. 2.42 per 10 square metresRs. 2.42 per 10 square metres × 10 = Rs. 24.20 per square metreRs. 24.20 per square metre × 0.89 = Rs. 21.53 (rounded off to Rs. 21.50)
Therefore, the correct answer is option D, Rs. 21.50.If you think the solution is wrong then please provide your own solution below in the comments section .
Question 12.

  1. A room is 21 dm long, 14 dm broad and 12 dm high. It has 2 doors each 8 dm ×4 \(\frac{1}{2}\)dm and 3 windows each 6 dm × 3.5 dm. The cost of whitewashing the walls at 5 paise per sq. decimetre is

  1.    Rs 35
  2.    Rs 40
  3.    Rs 45
  4.    none of these
 Discuss Question
Answer: Option D. -> none of these
Question 13.

  1. The least number of equal square slabs that can be fitted in a verandah 10.5 m long and 3 m wide is

  1.    12
  2.    13
  3.    14
  4.    15
 Discuss Question
Answer: Option C. -> 14
Question 14.

The internal length, breadth and height of an open box are 85 cm, 65 cm and 72.5 cm respectively. The cost of painting the outside of the box leaving its bottom at 60 paise per square decimetre, if the thickness of the box is 25 mm, is

  1.    Rs 142
  2.    Rs 144
  3.    Rs 146
  4.     none of these
 Discuss Question
Answer: Option B. -> Rs 144
Question 15.

  1. The non-parallel sides of a trapezium are 11 cm and 15 cm and its parallel sides are 13 cm and 25 cm. The area of the trapezium is nearly :

  1.    220.76 cm2
  2.    209.76 cm2
  3.    120.76 cm2
  4.     none of these
 Discuss Question
Answer: Option B. -> 209.76 cm2
Question 16.

  1. There are as many square metres in the area of an equilateral triangle as there are metres in its perimeter. Its side is :

  1.    4.67 m
  2.    4.39 m
  3.    6.93 m
  4.     none of these
 Discuss Question
Answer: Option C. -> 6.93 m
Question 17.

  1. The perimeter of a right angled triangle measures 60 cm and the hypotenuse measures 25 cm. The other two sides are

  1.    10 m, 15 m
  2.    15 m , 20 m
  3.    20 m , 15 m
  4.    15 m , 10 m
 Discuss Question
Answer: Option C. -> 20 m , 15 m
Question 18.

  1. The lengths of the diagonals of the rhombus are 8 cm and 6 cm. The area of the rhombus is

  1.    24 cm2
  2.    26 cm2
  3.    28 cm2
  4.     none of these
 Discuss Question
Answer: Option A. -> 24 cm2
Question 19.

  1. The cross-section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of cross-section is 72 sq. m, its depth is

  1.    5 m
  2.    7 m
  3.    9 m
  4.     none of these
 Discuss Question
Answer: Option C. -> 9 m
Question 20.

  1. A room 5 m long and 4 m wide is surrounded by a verandah. The width of the verandah, if it occupies 22 m2, is

  1.    1 m
  2.    1.5 m
  3.    2 m
  4.    2.5 m
 Discuss Question
Answer: Option A. -> 1 m

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