Mensuration Model Questions Set 2 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26

What is the area of the largest circular disc cut from a square of side $2/√π$ units?

a) $π^2$ square units

b) π square units

c) 1 square unit

d) 2 square units

Question : 27

If a square of side x and an equilateral triangle of side y are inscribed in a circle, then what is the ratio of x to y ?

a) $3/√2$

b) $√{2/3}$

c) $√{3/2}$

d) $√2/3$

Question : 28

a, b, c, b are non-zero integers such that (ab) divides (cd). If a and c are coprime, then which one of the following is correct?

a) a is a factor of d

b) a is a factor of c

c) a is a factor of b

d) d is a factor of a

Question : 29

ABC and XYZ are two similar triangles with ∠C = ∠Z, whose areas are respectively 32 $cm^2$ and 60.5 $cm^2$ . If XY = 7.7 cm, then what is AB equal to?

a) 6.0 cm

b) 5.6 cm

c) 5.8 cm

d) 6.2 cm

Question : 30

In the figure given above, C and D are points on the semi-circle described on AB as diameter. If ∠ABD = 75° and ∠DAC = 35°, then what is the ∠BDC?

a) 90°

b) 130°

c) 110°

d) 100°