Mensuration Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11

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 : 12

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 : 13

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 : 14

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 : 15

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°