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

Question : 1

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 : 2

Consider a circle C of radius 6 cm with centre at O. What is the difference in the area of the circle C and the area of the sector of C subtending an angle of 80º at O?

a) 28π $cm^2$

b) 26π $cm^2$

c) 16π $cm^2$

d) 30π$cm^2$

Question : 3

The medians of ΔABC intersect at G. Which one of the following is correct?

a) Three times the area of ΔAGB is equal to the area of ΔABC

b) Five times the area of ΔAGB is equal to four times the area of ΔABC

c) Four times the area of ΔAGB is equal to three times the area of ΔABC

d) None of the above

Question : 4

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 : 5

A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

a) 53.5 $m^2$

b) 49 $m^2$

c) 50 $m^2$

d) 55 $m^2$

Question : 6

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.