Mensuration Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The curved surface area of a right circular cone is 1.76 $m^2$ and its base diameter is 140 cm. What is the height of the cone?

a) 20 $√2$ cm

b) 10 cm

c) 10 $√2$ cm

d) 10 $√{15}$ cm

Question : 2

Let AB and AC be two rays intersecting at A. If D, E be the points lying on AB, AC respectively and P be the point such that P divides the line DE such that PD : PE = AD : AE. Then, what is the locus of the point P?

a) The perpendicular bisector of angle A

b) The angle bisector of angle A

c) The angle trisector of angle A

d) None of the above

Question : 3

A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze ?

a) 150 $m^2$

b) 154 $cm^2$

c) 308 $m^2$

d) None of these

Question : 4

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

a) has increased by 8%.

b) has increased by 20%.

c) has increased by 12%.

d) is exactly the same as the old area.

Question : 5

A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. What is the area of the curved surface for conical portion?

a) 3432/7 sq m

b) 3434/9 sq m

c) 3431/8 sq m

d) 3234/7 sq m

Question : 6

The perimeter of a triangular field is 240 m. If two of its sides are 78 m and 50 m, then what is the length of the perpendicular on the side of length 50 m from the opposite vertex?

a) 67.2 m

b) 43 m

c) 52.2 m

d) 70 m