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

Question : 1

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 : 2

In the figure given below, PQ is parallel to RS and PR is parallel to QS. If ∠LPR = 35° and ∠ UST = 70°, then what is ∠MPQ equal to ?

a) 75°

b) 55°

c) 70°

d) 80°

Question : 3

Consider an equilateral triangle of a side of unit length. A new equilateral triangle is formed by joining the midpoints of one, then a third equilateral triangle is formed by joining the mid-points of second. The process is continued. The perimeter of all triangles, thus formed is

a) 6 units

b) 2 units

c) 3 units

d) Infinity

Question : 4

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 : 5

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 : 6

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