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

Question : 6

In the figure given below, SPT is a tangent to the circle at P and O is the centre of the circle. If ∠QPT = α, then what is ∠POQ equal to?

a) 90° – α

b) α

c) 2α

d) 180° – 2α

Answer »

Question : 7

The length of a minute hand of a wall clock is 9 cm. What is the area swept (in $cm^2$) by the minute hand in 20 min? (take π = 3.14)

a) 67.74

b) 88.78

c) 84.78

d) 57.78

Answer »

Question : 8

A large water tank has the shape of a cube. If 128 $m^3$ of water is pumped out, the water level goes down by 2 m. Then the maximum capacity of the tank is

a) 324 $m^3$

b) 512 $m^3$

c) 480 $m^3$

d) 256 $m^3$

Answer »

Question : 9

Consider the following statements : Two triangles are said to be congruent, if

1. Three angles of one triangle are equal to the corresponding three angles of the other triangle.
2. Three sides of one triangle are equal to the corresponding three sides of the other triangle.
3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle.
4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

Which of the above statements are correct?

a) 1, 2 and 4

b) 1, 2 and 3

c) 1, 3 and 4

d) 2, 3 and 4

Answer »

Question : 10

In the figure given below, ABC is a triangle. BC is parallel to AE. If BC = AC, then what is the value of ∠CAE?

a) 40°

b) 20°

c) 30°

d) 50°

Answer »