InstructionThese instructions are applicable only to questions 1 to 5
A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following? [A chart shows dimensions: Room: Length=16 ft, Breadth=12 ft. Table: Length=36 inch, Breadth=72 inch. Bed: Length=3 ft, Breadth=6 ft. Chair: Length=24 inch, Breadth=24 inch. Book: Length=12 inch, Breadth=9 inch.]
Question 1.
What would be the area of the room which is not covered by any object as mentioned above?
Question 2.
What is the area of the table which is uncovered by any of the objects?
Question 3.
How many tables are required to cover the floor surface of the room completely?
Question 4.
If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required.
Question 5.
How many chairs can be put inside the room so as to cover the entire floor area of the room?
InstructionThese instructions are applicable only to questions 6 to 10
Direction: In the figure given below, a goat is tied to a pole (at point O) which is the center of the semi -circular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal. [A diagram shows a semi-circle with diameter AC and center O. A point B is on the circumference, such that BO is the radius and is perpendicular to the diameter AC.]
Question 6.
The length of the rope is
Question 7.
The area of the plot is
Question 8.
If a triangle is created by joining points A, B, and C. What will be the length of AB?
Question 9.
What will be the area of the triangle ABC?
Question 10.
What will be the perimeter of the triangle ABC?
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Question 1.
A square field has its area equal to 324 m2. The perimeter of the field is:
Question 2.
A closed metal box measure 30cm×20cm×10cm. thickness of the metal is 1cm. the volume of the metal required to make the box is:
Question 3.
Diagonals of a rhombus are 1 meter and 1.5 meter in lengths. The area of the rhombus is:
Question 4.
A rod of 2 cm diameter and 30 cm length is converted into a wire of 3 metres length of uniform thickness. The diameter of the wire is:
Question 5.
Two straight poles of unequal length stand upright on a ground. The length of the shorter pole is 10 metres. A pole joins the top of the two vertical poles. The distance between the two tops is 5 metres. The distance between the poles along the ground is 4 metres. The area thus, formed by the three poles with the ground is:
Question 6.
A ground 100 x 80 m2 has two cross roads in its middle. The road parallel to the length is 5 metre wide and the other road is 4 metre wide, both roads are perpendicular to each other. The cost of laying the bricks at the rate of Rs. 10 per m2, on the roads, will be:
Question 7.
A flag pole 18 m high casts a shadow 9.6 m long. What is the distance of the top of the pole from the far end of the shadow?
Question 8.
A cylindrical tennis ball container can contain maximum three balls stacked on one another. The top and bottom balls also touch the lid and the base of the container respectively. If the volume of a tennis ball is 240 cm, then what is the volume of the container?
Question 9.
Rajneetha walks around the circular park in 15 minutes. If she walks at the rate of 5km/hr, how much distance would she have to travel, at the minimum, to reach the centre of the park from any point on its perimeter?
Question 10.
If the length and height of a brick increases by 10% each respectively, and the breadth reduces by 20%, what is the percentage change in the volume of the brick?
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